/****************************************************************************************
*
* GSE.quantum
*
* Oana Theogarajan, UCSB
*
*
* Implements the QCS GFI for the Ground State Estimation Algorithm
*
* December 2011
*
*****************************************************************************************/
// The ground state is stored in M qubits coresponding to spin-orbital states (the quantum register qbit bottomregister[M])
// There are M/2 spatial orbitals, each with spin up and down
// The qubits are indexed by p=0 to M-1 corresponding to i,j i=0 to M/2-1, j=+,- (i=spatial quantum number, j=spin quantum number)
// So qubits 0,1,2,3,4,5,.... correspond to states with quantum numbers 0+,0-,1+,1-,2+,2-,....

#include <math.h>

#define M 10 //number of bottom register qubits
#define b 3 //number of top register qubits
#define n 3 //precision
#define PI 3.14159
#define N 3 //number of qubits tp be flipped to initialize ground state
#define Emax 2.2 //dummy value for now - we don't know it, not in the GFIs
#define DeltaE 0.0184

/*
#define M 208 //number of bottom register qubits
#define b 12 //number of top register qubits
#define n 6 //precision
#define PI 3.14159
#define N 84 //number of qubits tp be flipped to initialize ground state
#define Emax 2.2 //dummy value for now - we don't know it, not in the GFIs
#define DeltaE 0.0184
*/
#define tau 341.47746 //ajavadia

// file containing one electron integrals as a one dimensional array - one element per line
//const char *integralsFile1="hmol1.txt";
// file containing two electron integrals as a one dimensional array - one element per line
//const char *integralsFile2="hmols2.txt";

#define SZ1 148
#define SZ2 20

// hmol1.txt
double const hmol1[SZ1][SZ1] =
{
{-350.29076436161165,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{-1.3305426082250455e-11,-350.29076949405697,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{1.3146324872473346e-10,5.038668875240693e-05,-142.32430242580031,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{4.5013755188937171e-15,9.7507202719358621e-13,-1.9658087269221906e-13,-142.32429249416731,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{3.7280147650458444,-9.7160342649683463e-06,-1.5358823087234368e-13,-1.2308058400964462e-14,-95.408323808647793,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{9.7159139144710019e-06,3.727968679477613,-4.8071630011897795e-05,-9.3855985189206873e-13,3.1835675330862255e-13,-95.408126674615062,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{1.5706088765788435e-14,-1.6000133777414211e-14,-1.1093189928848034e-15,7.0280470102084334e-16,9.0853777818993521e-13,-6.579868042539966e-14,-94.685748152423088,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{1.7311826515527904e-14,-1.4376631611183007e-14,1.6278097293309343e-15,1.0673526045255723e-15,9.183028529395241e-13,-6.2771411504412e-14,-1.5483355758312602e-13,-94.685252563256554,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
{0.012054207031538642,-3.1454094712956124e-08,2.9012831437156758e-14,-2.6233081344209986e-14,0.29359766827294459,-9.2838198357472831e-10,-6.9465171331925821e-14,-8.1320078606103593e-14,-94.709157466694776,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0},
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{-3.6211382455003602,9.4439966296598226e-06,-4.8651817277078192e-12,1.1478290201975627e-13,6.5947276431636412,-1.1850258309919078e-08,-1.2981714333212835e-13,-1.3067108800743694e-13,-0.039830088747570783,-6.1245360978294082e-11,-7.0474715360698513e-14,-5.3247940182566539e-14,5.0725347355834094,1.3210646603504863e-08,1.3343774241893644e-12,-1.2659226800000532e-12,-0.52153631767756603,6.8164466303696644e-10,1.4181268779644668e-14,1.7188236511173072e-14,0.0028609327574895902,2.2364943493449103e-11,2.2197223230762146e-16,4.1986265311927859e-16,-2.0682419667476293e-16,-5.779590976286421e-16,-3.236816730155588e-15,-2.7065159060321933e-15,0.087019792448100361,1.0773030741513282e-10,-4.1509177136911474e-09,-2.9493462363260816,-1.221715725876952e-14,-3.9409193231888553e-15,1.1989517898257798,1.3251567918371727e-09,6.9181227703824579e-14,1.6297259494615218e-14,-3.4631108831090232e-10,-4.9793735218783881e-14,-8.1770610587017784e-14,-0.31424045712967141,1.4042271406578973e-14,1.4456747804868333e-14,-7.2545168046224078e-10,-0.53259577633183142,-5.4284103302416779e-14,-8.9857320802883001e-16,-1.8524901354249992e-09,-1.3071706071106981,-3.7482587322335498e-14,-3.2115257388636921e-14,-9.9239386940624458e-10,-0.69187685599235527,-2.3584809878389952e-10,3.7345628436115617e-13,-6.8349511028178642e-15,9.6267632726740671e-14,6.517697858910977e-14,4.4938587786949727e-14,6.9801082890471854e-14,1.2350458587001947,1.1078878160206345e-09,0.52710978268183462,0.45127306715389426,-2.2259973107416144e-10,-1.3058409841006672e-15,-3.2730427540419443e-13,5.4823623858842793e-10,-2.608182495932726e-14,5.4247854538669743e-18,0.098599362574936553,6.9218325759402152e-13,-1.0174796931643887e-14,0.19393513709099899,5.159920295297296e-15,-6.3998787595779752e-10,-4.1984781199709169e-15,7.3538711010666383e-10,-0.64635343535613976,-6.7971384450081376e-10,5.9645902890632771e-12,4.1562008730715518e-10,1.9855010484480394e-11,0.26207526140359627,-1.915990580048702e-15,-1.9537576486962212e-15,4.5880697651474664e-13,-3.2392765546633845e-12,-0.15783688903890147,-2.7431537180339939e-13,-8.3982517693520274e-11,4.2873579637344343e-15,4.1102907453211301e-15,1.8924561904176042e-12,-0.117221851704603,-1.7137627309014164e-13,-1.5158617173697226e-15,-3.0448877282497482e-16,-2.2359028196748963e-10,1.7292499980813949e-14,5.1021086072744904e-10,-2.8395127593173828e-13,-2.3600130861844978e-11,2.1820149625545761e-16,-6.8504239578748163e-16,4.9324859794927833e-09,-5.0553801325247533e-12,1.4998926526293304,3.5019627725012248e-12,1.0819420861589046e-09,3.5396877273911707,5.3088847405094626e-13,-0.14000153200272478,-1.9500038759050683e-13,3.8606215238100947e-16,-2.8052592045244441e-10,-5.8950195631529743e-16,-7.3524475016215112e-14,2.5128511398171561e-10,-3.3435382441661031e-14,-1.0980262963585255e-16,-6.6662414998032363e-17,-1.9892646112412994e-17,-1.1304281580548926e-11,2.8687006962662992e-16,-0.153115205003963,2.7814760179345824e-13,1.589614492145898e-13,-7.4546863464764529e-11,2.8316108138803919e-14,-0.033765555950613903,2.3913155089648665e-16,2.4128740997933371e-16,3.2599015434126528e-11,-1.7852030287608824e-14,-8.8804584696314956e-11,9.3902139962032783e-14,-2.1221716305936841e-17,-2.3038174261847832e-16,7.1396829743152304e-15,1.2315733443385405e-13,6.4363016995053539e-11,0.024597132935483539,-3.6190692112970148e-14,-1.7606915781572876e-11,2.4490431641028234e-11,-7.2326028544973742}
};

// hmol2.txt
double const hmol2[SZ2][SZ2][SZ2][SZ2] =
{
	{
		{
			{8.0519959961760055,4.1025223575909171e-05,0.0,0.0,-1.0264416929445901,-8.031539607808777e-06,0.0,0.0,0.013668294953545752,1.1218558481467779e-07,0.0,0.0,-0.42520418819726952,-3.3288120376758151e-06,0.0,0.0,0.048908492789934151,-3.8616109254896783e-07,0.0,0.0},
			{4.1025223575909171e-05,8.051997835257108,-1.7283335609211395e-05,0.0,-2.6814185650475755e-06,-1.0264236163856699,0.0,0.0,4.0624241115291687e-08,0.013697040313728858,0.0,0.0,-1.1087579539820315e-06,-0.42519938395464063,0.0,0.0,1.2922893922544863e-07,-0.049125109444838742,0.0,0.0},
			{0.0,-1.7283335609211395e-05,0.23334140127044825,0.0,0.0,1.4659282501212158e-05,0.0,0.0,0.0,-8.6602039995952256e-07,0.0,0.0,0.0,9.552442442540971e-06,0.0,0.0,0.0,1.7273146696803065e-06,0.0,0.0},
			{0.0,0.0,0.0,0.2333413818291622,0.0,0.0,0.0,0.0,0.0,0.0,3.1488496394849907e-06,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-2.4821364515811346e-06,0.0},
			{-1.0264416929445901,-2.6814185650475755e-06,0.0,0.0,2.4926390642295835,1.2013659808825759e-05,0.0,0.0,0.00093828144538987809,3.1184707903713262e-08,0.0,0.0,0.49330613168406479,2.5753039161118532e-06,0.0,0.0,-0.048605313757051488,2.6472445492403736e-07,0.0,0.0},
			{-8.031539607808777e-06,-1.0264236163856699,1.4659282501212158e-05,0.0,1.2013659808825759e-05,2.4926117432999573,0.0,0.0,3.1164907198437646e-08,0.00089969079998129223,0.0,0.0,2.5709142429791434e-06,0.49329478682678185,0.0,0.0,-2.6388343732551246e-07,0.048732288020257204,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,2.7707682803429066,-1.3464819230559614e-05,0.0,0.0,0.0,0.0,0.0,0.0,-0.50130724345226907,-2.6124494476295417e-06,0.0,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,-1.3464819230559614e-05,2.7707183651466334,0.0,0.0,0.0,0.0,0.0,0.0,2.6145901857092573e-06,0.50080613735643009,0.0,0.0,0.0,0.0},
			{0.013668294953545752,4.0624241115291687e-08,0.0,0.0,0.00093828144538987809,3.1164907198437646e-08,0.0,0.0,2.7711797762647863,1.346475757976695e-05,0.0,0.0,0.049247486534045988,2.502262654362488e-07,0.0,0.0,0.50099383374941231,-2.6117285046774264e-06,0.0,0.0},
			{1.1218558481467779e-07,0.013697040313728858,-8.6602039995952256e-07,0.0,3.1184707903713262e-08,0.00089969079998129223,0.0,0.0,1.346475757976695e-05,2.7711059683129982,0.0,0.0,2.505844936940111e-07,0.049120872355624588,0.0,0.0,2.6148139955075142e-06,-0.50036564808128192,0.0,0.0},
			{0.0,0.0,0.0,3.1488496394849907e-06,0.0,0.0,0.0,0.0,0.0,0.0,2.7710791827617789,-1.3466396529485668e-05,0.0,0.0,0.0,0.0,0.0,0.0,-0.5034491611442321,-2.6262964092939888e-06},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.3466396529485668e-05,2.7710114216218598,0.0,0.0,0.0,0.0,0.0,0.0,2.6219188046652511e-06,0.50275823035958889},
			{-0.42520418819726952,-1.1087579539820315e-06,0.0,0.0,0.49330613168406479,2.5709142429791434e-06,0.0,0.0,0.049247486534045988,2.505844936940111e-07,0.0,0.0,1.0447498737912047,4.4736614733711423e-06,0.0,0.0,-0.013222009898903138,-4.8118554043951263e-09,0.0,0.0},
			{-3.3288120376758151e-06,-0.42519938395464063,9.552442442540971e-06,0.0,2.5753039161118532e-06,0.49329478682678185,0.0,0.0,2.502262654362488e-07,0.049120872355624588,0.0,0.0,4.4736614733711423e-06,1.0447387705550735,0.0,0.0,4.3372403038390948e-09,0.013394655899375206,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,-0.50130724345226907,2.6145901857092573e-06,0.0,0.0,0.0,0.0,0.0,0.0,1.00619131331745,4.2649772208242069e-06,0.0,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,-2.6124494476295417e-06,0.50080613735643009,0.0,0.0,0.0,0.0,0.0,0.0,4.2649772208242069e-06,1.0053721608004897,0.0,0.0,0.0,0.0},
			{0.048908492789934151,1.2922893922544863e-07,0.0,0.0,-0.048605313757051488,-2.6388343732551246e-07,0.0,0.0,0.50099383374941231,2.6148139955075142e-06,0.0,0.0,-0.013222009898903138,4.3372403038390948e-09,0.0,0.0,1.0132890463888886,-4.2751199109840519e-06,0.0,0.0},
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			{0.0,0.0,0.0,2.6314129706252443e-07,0.0,0.0,0.0,0.0,0.0,0.0,-0.0047740557251130166,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.039351517048061016,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.0047752827353406664,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.039330189276116555},
			{0.0010554232164157573,-2.7539298018455526e-09,0.0,0.0,-0.00019557342554721063,0.0,0.0,0.0,0.0043694332135927735,0.0,0.0,0.0,0.0040633513555081895,0.0,0.0,0.0,-0.039351517048061016,0.0,0.0,0.0},
			{2.749998774638828e-09,0.0010539033794917665,3.0658513444312019e-09,0.0,0.0,-0.00019458948069827589,0.0,0.0,0.0,0.0043642237457683355,0.0,0.0,0.0,0.0040637210500157131,0.0,0.0,0.0,0.039330189276116555,0.0,0.0}
		},
		{
			{4.2854136898466963e-06,0.82117630693994126,-9.4183856103275311e-08,0.0,-2.75715517204397e-08,-0.010553989791799249,0.0,0.0,4.5631789440542622e-09,0.0017490271341654127,0.0,0.0,-9.7717718086466809e-09,-0.003746853532697496,0.0,0.0,2.5135694520659633e-09,-0.00096440441486853219,0.0,0.0},
			{0.82117630693994126,-4.2854136629784419e-06,0.0,0.0,-0.010554083707043457,2.7571305924774786e-08,0.0,0.0,0.0017488508965733756,-4.5636386672713519e-09,0.0,0.0,-0.0037468392230009633,9.7718086941844703e-09,0.0,0.0,0.00096330684850491253,2.5164333439914506e-09,0.0,0.0},
			{-9.4183856103275311e-08,0.0,0.0,0.0,1.0760777234504105e-06,0.0,0.0,0.0,-1.0121162640090836e-07,0.0,0.0,0.0,1.3329852057509381e-06,0.0,0.0,0.0,-9.5239660810123508e-08,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-2.6386486507443249e-07,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.4438458699781491e-06},
			{-2.75715517204397e-08,-0.010554083707043457,1.0760777234504105e-06,0.0,4.3931149589616775e-09,0.71039856847429628,0.0,0.0,0.0,0.010732026154968117,0.0,0.0,0.0,0.029306875389456668,0.0,0.0,0.0,0.0062108430220492268,0.0,0.0},
			{-0.010553989791799249,2.7571305924774786e-08,0.0,0.0,0.71039856847429628,-4.3930913907674428e-09,0.0,0.0,0.010727131972250155,0.0,0.0,0.0,0.029303752245704355,0.0,0.0,0.0,-0.0062394236818449555,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.7129800978667501,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.032093266523606702,0.0,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,-0.7129800978667501,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.032105000523999699,0.0,0.0,0.0,0.0,0.0},
			{4.5631789440542622e-09,0.0017488508965733756,-1.0121162640090836e-07,0.0,0.0,0.010727131972250155,0.0,0.0,0.0,0.71274774081328773,0.0,0.0,0.0,0.00077647680008823309,0.0,0.0,0.0,-0.032371609485873851,0.0,0.0},
			{0.0017490271341654127,-4.5636386672713519e-09,0.0,0.0,0.010732026154968117,0.0,0.0,0.0,0.71274774081328773,0.0,0.0,0.0,0.00077955078115087614,0.0,0.0,0.0,0.032399588978293883,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.1472782435533722e-08,-0.75611380645787341,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.02265897084978177},
			{0.0,0.0,0.0,-2.6386486507443249e-07,0.0,0.0,0.0,0.0,0.0,0.0,-0.75611380645787341,-1.1472763823396584e-08,0.0,0.0,0.0,0.0,0.0,0.0,0.022663478381802028,0.0},
			{-9.7717718086466809e-09,-0.0037468392230009633,1.3329852057509381e-06,0.0,0.0,0.029303752245704355,0.0,0.0,0.0,0.00077955078115087614,0.0,0.0,-1.4289627644545062e-09,0.54541340742204825,0.0,0.0,0.0,-0.014950741813583725,0.0,0.0},
			{-0.003746853532697496,9.7718086941844703e-09,0.0,0.0,0.029306875389456668,0.0,0.0,0.0,0.00077647680008823309,0.0,0.0,0.0,0.54541340742204825,1.4289719464471897e-09,0.0,0.0,0.014862376148830639,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.032105000523999699,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.50584639704665413,0.0,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,-0.032093266523606702,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.50584639704665413,0.0,0.0,0.0,0.0,0.0},
			{2.5135694520659633e-09,0.00096330684850491253,-9.5239660810123508e-08,0.0,0.0,-0.0062394236818449555,0.0,0.0,0.0,0.032399588978293883,0.0,0.0,0.0,0.014862376148830639,0.0,0.0,0.0,-0.5026634344509644,0.0,0.0},
			{-0.00096440441486853219,2.5164333439914506e-09,0.0,0.0,0.0062108430220492268,0.0,0.0,0.0,-0.032371609485873851,0.0,0.0,0.0,-0.014950741813583725,0.0,0.0,0.0,-0.5026634344509644,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.022663478381802028,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.586477792666937},
			{0.0,0.0,0.0,-1.4438458699781491e-06,0.0,0.0,0.0,0.0,0.0,0.0,-0.02265897084978177,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.586477792666937,0.0}
		},
		{
			{1.0089508592421215,0.0,0.0,0.0,-0.010551496429989812,-2.7499674223306145e-08,0.0,0.0,0.00082533209172089522,2.1540128094521963e-09,0.0,0.0,-0.0037745916813870955,-9.8544087793463867e-09,0.0,0.0,0.0006626958205647258,-1.7324813570220235e-09,0.0,0.0},
			{0.0,1.0089508702279399,-9.38098738015784e-08,0.0,2.7499210368733984e-08,-0.010551419853547692,0.0,0.0,-2.1535532415961482e-09,0.00082546598469303083,0.0,0.0,9.8539218102270708e-09,-0.0037746879922178375,0.0,0.0,-1.729151575348794e-09,-0.00066394871496143449,0.0,0.0},
			{0.0,-9.38098738015784e-08,0.23314081954088489,0.0,0.0,1.0403344036012432e-06,0.0,0.0,0.0,-1.1296353586500084e-07,0.0,0.0,0.0,1.2405705868315317e-06,0.0,0.0,0.0,5.3113658334953283e-07,0.0,0.0},
			{0.0,0.0,0.0,0.23314080090852474,0.0,0.0,0.0,0.0,0.0,0.0,2.1152605368277946e-07,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0542007744870779e-06,0.0},
			{-0.010551496429989812,2.7499210368733984e-08,0.0,0.0,0.89819557561081975,0.0,0.0,0.0,0.0058183993805959143,0.0,0.0,0.0,0.029495125067335599,0.0,0.0,0.0,-0.0043099885934150635,0.0,0.0,0.0},
			{-2.7499674223306145e-08,-0.010551419853547692,1.0403344036012432e-06,0.0,0.0,0.89819507107683039,0.0,0.0,0.0,0.0058176050672987074,0.0,0.0,0.0,0.029495089171554908,0.0,0.0,0.0,0.0042896799135787997,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.90081423355559709,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.032314462851601812,0.0,0.0,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.90081148548802348,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.032284534527538988,0.0,0.0,0.0,0.0},
			{0.00082533209172089522,-2.1535532415961482e-09,0.0,0.0,0.0058183993805959143,0.0,0.0,0.0,0.90097620983247995,0.0,0.0,0.0,0.0019459718134517874,0.0,0.0,0.0,0.032290647751916743,0.0,0.0,0.0},
			{2.1540128094521963e-09,0.00082546598469303083,-1.1296353586500084e-07,0.0,0.0,0.0058176050672987074,0.0,0.0,0.0,0.90097198551088442,0.0,0.0,0.0,0.0019367942281228192,0.0,0.0,0.0,-0.032249925237286786,0.0,0.0},
			{0.0,0.0,0.0,2.1152605368277946e-07,0.0,0.0,0.0,0.0,0.0,0.0,0.94390289387858528,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-0.022895967833543678,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.94390023651389576,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.02286381877863879},
			{-0.0037745916813870955,9.8539218102270708e-09,0.0,0.0,0.029495125067335599,0.0,0.0,0.0,0.0019459718134517874,0.0,0.0,0.0,0.73045614855814123,0.0,0.0,0.0,0.0011478192711213931,0.0,0.0,0.0},
			{-9.8544087793463867e-09,-0.0037746879922178375,1.2405705868315317e-06,0.0,0.0,0.029495089171554908,0.0,0.0,0.0,0.0019367942281228192,0.0,0.0,0.0,0.73045388808075951,0.0,0.0,0.0,-0.001108463715396159,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,-0.032314462851601812,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.69203771439334816,0.0,0.0,0.0,0.0,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.032284534527538988,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.6917887202642945,0.0,0.0,0.0,0.0},
			{0.0006626958205647258,-1.729151575348794e-09,0.0,0.0,-0.0043099885934150635,0.0,0.0,0.0,0.032290647751916743,0.0,0.0,0.0,0.0011478192711213931,0.0,0.0,0.0,0.69377220117339145,0.0,0.0,0.0},
			{-1.7324813570220235e-09,-0.00066394871496143449,5.3113658334953283e-07,0.0,0.0,0.0042896799135787997,0.0,0.0,0.0,-0.032249925237286786,0.0,0.0,0.0,-0.001108463715396159,0.0,0.0,0.0,0.69361143787323398,0.0,0.0},
			{0.0,0.0,0.0,-1.0542007744870779e-06,0.0,0.0,0.0,0.0,0.0,0.0,-0.022895967833543678,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.77255591909360299,0.0},
			{0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.02286381877863879,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.77216738082785052}
		}
	}
};

// Swaps 2 qubit states
// Takes as input the 2 qubits
module Swap(qbit q1,qbit q2)
{
	CNOT(q2,q1);
	CNOT(q1,q2);
	CNOT(q2,q1);
}

// Implements a controlled rotation
// inputs are the target qubit, control qubit and the rotation angle
module ControlledRotation(qbit target, qbit control, double theta)
{
	Rz(target, theta / 2.0);
	CNOT(control, target);
	Rz(target, -1.0 * theta / 2.0);
	CNOT(control, target);
}

// Implement the Y gate defined in the GFIs Y=Rx(-PI/2), we'll name it Y_Rx
module Y_Rx(qbit target)
{
  // G(target,-PI/4); //indistinguishable global phase
	Z(target);
	H(target);
	S(target);
	H(target);
	Z(target);
}

// Implement the dagger of the Y gate = Rx(PI/2)
module Y_Rx_Dagger(qbit target)
{
//	G(target,-PI/4);
	H(target);
	S(target);
	H(target);
}

// Controlled Phase gate
// controlled-[e^(i*theta)  0;0  e^(i*theta)] is equivalent to the phase shift gate [1 0; 0 e^(i*theta)] on the control qubit
// can be written as a product of G(theta/2) and Rz(theta); G is physically unobservable so it can be neglected
module ControlledPhase(qbit target, qbit control, double theta)
{
	Rz(control, theta);
}

// Controlled version of gate [1 0; 0 e^(-i*PI/2^k)] - the R gate appearing in the inverse quantum Fourier transform
// parameters are the target qubit, control qubit and the integer k from 2^k
module ControlledRotationPiMinus(qbit target, qbit control,int j)
{
  double tmp1 = pow(2.0,j);
  double tmp2 = -PI/(2*tmp1);
	ControlledPhase(target,control, tmp2);
	ControlledRotation(target, control, 2*tmp2);
}


// Cascade CNOT between qubits p and q (with p>q) and controlled z rotation of angle theta on qubit q
// The control qubit is passed as a parameter and it will be one of the top register qubits
module CascadeControlledRotation(qbit reg[M], int p, int q,double theta,qbit control)
{
  int i;

  for (i=p;i>q;i--)
      CNOT(reg[i],reg[i-1]);
  ControlledRotation(reg[q],control,theta);
  for (i=q;i<p;i++)
      CNOT(reg[i+1],reg[i]);
}


// p>q>r>s
// Cascade CNOT between p and q, CNOT between q and r and again cascade CNOT between r and s; controlled rotation of angle theta on qubit s
// The control qubit is passed as a parameter and it will be one of the top register qubits
module CascadeControlledRotation_pqrs(qbit reg[M], int p, int q,int r, int s, double theta,qbit control)
{
  int i;
  for (i=p;i>q;i--)
      CNOT(reg[i],reg[i-1]);
  CNOT(reg[p],reg[r]);
  for (i=r;i>s;i--)
      CNOT(reg[i],reg[i-1]);
  ControlledRotation(reg[s],control,theta);
  for (i=s;i<r;i++)
      CNOT(reg[i+1],reg[i]);
  CNOT(reg[p],reg[r]);
  for (i=q;i<p;i++)
      CNOT(reg[i+1],reg[i]);
}


// p>r>q
// Cascade CNOT between p and r, CNOT between r and q and controlled rotation of angle theta on qubit q
// The control qubit is passed as a parameter and it will be one of the top register qubits
module CascadeControlledRotation_prq(qbit reg[M], int p, int q,int r, double theta,qbit control)
{
  int i;
  for (i=p;i>r;i--)
      CNOT(reg[i],reg[i-1]);
  CNOT(reg[r],reg[q]);
  ControlledRotation(reg[q],control,theta);
  CNOT(reg[r],reg[q]);
  for (i=r;i<p;i++)
      CNOT(reg[i+1],reg[i]);
}

// q>p>r
// CNOT between q and p, cascade CNOT between p and r and controlled rotation of angle theta on qubit r
// The control qubit is passed as a parameter and it will be one of the top register qubits
module CascadeControlledRotation_qpr(qbit reg[M], int p, int q,int r, double theta,qbit control)
{
  int i;
  CNOT(reg[q],reg[p]);
  for (i=p;i>r;i--)
      CNOT(reg[i],reg[i-1]);
  ControlledRotation(reg[r],control,theta);
  for (i=r;i<p;i++)
      CNOT(reg[i+1],reg[i]);
  CNOT(reg[q],reg[p]);
}


// Controlled version of the number operator "circuit primitive" on qubit p of the bottom register
// The control qubit is passed as a parameter and it will be one of the top register qubits
module NumberOperator(qbit target,double theta, qbit control)
{
  ControlledPhase(target,control,theta/2.0);
  ControlledRotation(target,control,theta);
}


//p>q
// Controlled version of the Excitation Operator Template circuit primitive
// The control qubit is passed as a parameter and it will be one of the top register qubits
module ExcitationOperatorTemplate(qbit reg[M], int p, int q,double theta, qbit control)
{
  H(reg[q]);
  H(reg[p]);
  CascadeControlledRotation(reg,p,q,theta,control);
  H(reg[q]);
  H(reg[p]);
  Y_Rx(reg[q]);
  Y_Rx(reg[p]);
  CascadeControlledRotation(reg,p,q,theta,control);
  Y_Rx_Dagger(reg[q]);
  Y_Rx_Dagger(reg[p]);
}


//controlled version of the Excitation Operator circuit primitive on qubits p and q
module ExcitationOperator(qbit reg[M], int p, int q, double theta,qbit control)
{
  ExcitationOperatorTemplate(reg,p,q,theta,control);
}

//controlled version of the coulomb Exchange Operator circuit primitive on qubits p and q
// Assumes p>q - will be called only for qubits with p>q
module CoulombExchgOperator(qbit reg[M],int p, int q, double theta, qbit control)
{
  ControlledPhase(reg[p],control,theta/2);
  ControlledRotation(reg[q],control,theta);
  ControlledRotation(reg[p],control,theta);
  CNOT(reg[p],reg[q]);
  ControlledRotation(reg[q],control,-theta);
  CNOT(reg[p],reg[q]);
}

//Implements controlled version of Number Excitation Operator circuit primitive for the case p>q>r
module  NrExcitationOperator_PQR(qbit reg[M],int p, int q,int r, double theta, qbit control)
{
  ExcitationOperatorTemplate(reg,p,r,theta,control);

  H(reg[r]);
  H(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q+1,q-1,r,-theta,control);
  H(reg[r]);
  H(reg[p]);

  Y_Rx(reg[r]);
  Y_Rx(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q+1,q-1,r,-theta,control);
  Y_Rx_Dagger(reg[r]);
  Y_Rx_Dagger(reg[p]);
}


//Implements controlled version of Number Excitation Operator circuit primitive for the case p>r>q
module  NrExcitationOperator_PRQ(qbit reg[M],int p, int q,int r, double theta, qbit control)
{
  ExcitationOperatorTemplate(reg,p,r,theta,control);

  H(reg[r]);
  H(reg[p]);
  CascadeControlledRotation_prq(reg,p,q,r,-theta,control);
  H(reg[r]);
  H(reg[p]);

  Y_Rx(reg[r]);
  Y_Rx(reg[p]);
  CascadeControlledRotation_prq(reg,p,q,r,-theta,control);
  Y_Rx_Dagger(reg[r]);
  Y_Rx_Dagger(reg[p]);
}


//Implements controlled version of Number Excitation Operator circuit primitive for the case q>p>r
module  NrExcitationOperator_QPR(qbit reg[M],int p, int q,int r, double theta, qbit control)
{
  ExcitationOperatorTemplate(reg,p,r,theta,control);

  H(reg[r]);
  H(reg[p]);
  CascadeControlledRotation_qpr(reg,p,q,r,-theta,control);
  H(reg[r]);
  H(reg[p]);

  Y_Rx(reg[r]);
  Y_Rx(reg[p]);
  CascadeControlledRotation_qpr(reg,p,q,r,-theta,control);
  Y_Rx_Dagger(reg[r]);
  Y_Rx_Dagger(reg[p]);
}


// controlled version of Number Excitation Operator circuit primitive
// Assumes p>r and handles separately the 3 different circuits for the 3 cases p>q>r, p>r>q, q>p>r
module NrExcitationOperator(qbit reg[M],int p, int q,int r, double theta, qbit control)
{
  if (q<r)
    NrExcitationOperator_PRQ(reg,p, q, r, theta,control);
  else if  ((q>r)&&(q<p))
    NrExcitationOperator_PQR(reg,p, q, r, theta,control);
  else if (q>p)
    NrExcitationOperator_QPR(reg, p, q, r,theta,control);
}


// Controlled version of the Double Excitation Operator circuit primitive
// Assumes p>q>r>s
module DoubleExcitationOperator(qbit reg[M],int p, int q,int r, int s, double theta1, double theta2, double theta3, double theta4, qbit control)
{
  //1
  H(reg[s]);
  H(reg[r]);
  H(reg[q]);
  H(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta1,control);
  H(reg[s]);
  H(reg[r]);
  H(reg[q]);
  H(reg[p]);

  //2
  Y_Rx(reg[s]);
  Y_Rx(reg[r]);
  Y_Rx(reg[q]);
  Y_Rx(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta1,control);
  Y_Rx_Dagger(reg[s]);
  Y_Rx_Dagger(reg[r]);
  Y_Rx_Dagger(reg[q]);
  Y_Rx_Dagger(reg[p]);

  //3
  H(reg[s]);
  H(reg[r]);
  Y_Rx(reg[q]);
  Y_Rx(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta2,control);
  H(reg[s]);
  H(reg[r]);
  Y_Rx_Dagger(reg[q]);
  Y_Rx_Dagger(reg[p]);

  //4
  Y_Rx(reg[s]);
  Y_Rx(reg[r]);
  H(reg[q]);
  H(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta2,control);
  Y_Rx_Dagger(reg[s]);
  Y_Rx_Dagger(reg[r]);
  H(reg[q]);
  H(reg[p]);


  //5
  H(reg[s]);
  Y_Rx(reg[r]);
  H(reg[q]);
  Y_Rx(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta3,control);
  H(reg[s]);
  Y_Rx_Dagger(reg[r]);
  H(reg[q]);
  Y_Rx_Dagger(reg[p]);

  //6
  Y_Rx(reg[s]);
  H(reg[r]);
  Y_Rx(reg[q]);
  H(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta3,control);
  Y_Rx_Dagger(reg[s]);
  H(reg[r]);
  Y_Rx_Dagger(reg[q]);
  H(reg[p]);

  //7
  H(reg[s]);
  Y_Rx(reg[r]);
  Y_Rx(reg[q]);
  H(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta4,control);
  H(reg[s]);
  Y_Rx_Dagger(reg[r]);
  Y_Rx_Dagger(reg[q]);
  H(reg[p]);

  //8
  Y_Rx(reg[s]);
  H(reg[r]);
  H(reg[q]);
  Y_Rx(reg[p]);
  CascadeControlledRotation_pqrs(reg,p,q,r,s,theta4,control);
  Y_Rx_Dagger(reg[s]);
  H(reg[r]);
  H(reg[q]);
  Y_Rx_Dagger(reg[p]);
}

// The controlled version of PauliH1 module form the GFI pseudocode
// Includes the Hamiltonian terms involving one electron integrals
module PauliH1(qbit bottomregister[M],qbit control)
{
  int p,q,pp,qq;
  double theta;

  // forall (p=0;p<M;p++)
  for (p=0;p<M;p++)
  {
    //get the spacial indices for the integral
    pp=p/2;
    //theta=(-1)*h[p,p]*tau/100;

    //read the h[p,p] coefficient coresponding to the spatial index pp
    // theta = readline(integralsFile1,Index2to1Dimension(pp,pp));
    theta = hmol1[pp][pp];
    theta=(-1)*theta*tau/100;
    //only call module if theta not zero
    if(theta!=0)
        NumberOperator(bottomregister[p],theta,control);
  }

  for (q=0;q<M;q++)
  {
    for (p=q+1;p<M;p++)   //Ensure p>q
    {
      //get the spatial indices for the integrals
      pp=p/2;
      qq=q/2;

      //theta=hpq[p,q]*tau/100;
      //read h[p,q] from file using the corresponding spatial indices pp,qq
      // theta=readline(integralsFile1,Index2to1Dimension(pp,qq));
      theta=hmol1[pp][qq];

      theta=theta*tau/100;
      //only apply module if theta not zero, make theta=0 if spins are not equal - spins are equal if p-q is multiple of 2
      theta=theta*((p-q+1)%2);

      if(theta!=0)
        ExcitationOperator(bottomregister,p,q,theta,control);
    }
  }
}


// The controlled version of PauliH2 module form the GFI pseudocode
// Includes the Hamiltonian terms involving two electron integrals
module PauliH2(qbit bottomregister[M],qbit control)
{
  int p,q,r,s,pp,qq,rr,ss;
  double theta1,theta2,theta3,theta4;
  double tmp1,tmp2,tmp3,tmp4,tmp5,tmp6,a1,a2,a3;
  for (q=0;q<M;q++)
  {
    for (p=q+1;p<M;p++) //Ensure p>q
    {
      //get the spatial indices for the integrals
      pp=p/2;
      qq=q/2;
      // theta=(1/2)*(h[p,q,p,q]-h[p,q,q,p])*tau/100;

      //read h[p,q,p,q] from file using the corresponding spatial indices pp,qq,rr
      // tmp1=readline(integralsFile2,Index4to1Dimension(pp,qq,pp,qq));
      tmp1=hmol2[pp][qq][pp][qq];

      //read h[p,q,q,p] from file using the corresponding spatial indices pp,qq,rr
      // tmp2=readline(integralsFile2,Index4to1Dimension(pp,qq,qq,pp));
      tmp2=hmol2[pp][qq][qq][pp];

      //only apply module if theta not zero, make theta=0 if spins are not equal for il and jk in h_ijkl
      //for h[p,q,q,p] the spins are always equal since il=pp and jk=qq, so it is always non-zero
      theta1=(1/2.0)*(tmp1*((p-q+1)%2)-tmp2)*tau/100;
      if(theta1!=0)
      {
        CoulombExchgOperator(bottomregister,p,q,theta1,control);
      }
    }
  }
  for (r=0;r<M;r++)
  {
    for (p=r+1;p<M;p++)        //Ensure p>r
    {
      for (q=0;q<M;q++)
      {
        if ((q!=p)&&(q!=r)) //Ensure p, q, r are distinct
        {
        //Get the spatial indices for the integrals
          pp=p/2;
          qq=q/2;
          rr=r/2;
          //theta=(1/4)*(tau/100)*(h[p,q,q,r]-h[p,q,r,q]);

          //read h[p,q,q,r] from file using the corresponding spatial indices pp,qq,rr
          // tmp1=readline(integralsFile2,Index4to1Dimension(pp,qq,qq,rr));
          tmp1=hmol2[pp][qq][qq][rr];

          //read h[p,q,r,q] from file using the corresponding spatial indices pp,qq,rr
          // tmp2=readline(integralsFile2,Index4to1Dimension(pp,qq,rr,qq));
          tmp2=hmol2[pp][qq][rr][qq];

          //only apply module if theta not zero, make theta=0 if spins are not equal for il and jk in h_ijkl

          //theta1=(1/4.0)*(tau/100)*(tmp1*((p-r+1)%2)-tmp2*((abs(p-q)+1)%2)*((abs(r-q)+1)%2));
          theta1=(1/4.0)*(tau/100)*(tmp1*((p-r+1)%2)-tmp2*((p-q+1)%2)*((r-q+1)%2)); // ajavadia (remove abs)

          if(theta1!=0)
          {
            NrExcitationOperator(bottomregister,p,q,r,theta1,control);   //the decision of which of the 3 cases for q (q>p>r, p>q>r, p>r>q)
                                                                         //gets executed is handled by the NrExcitationOperator module
          }
        }
      }
    }
  }
  for (s=0;s<M;s++)
  {
    for (r=s+1;r<M;r++)
    {
      for (q=r+1;q<M;q++)
      {
        for (p=q+1;p<M;p++)       //Ensure p>q>r>s
        {
          //Get the spatial indices for the integrals
          pp=p/2;
          qq=q/2;
          rr=r/2;
          ss=s/2;
          //a1=h[p,q,r,s]-h[p,q,s,r];
          //read h[p,q,r,s] from file using the corresponding spatial indices pp,qq,rr
          // tmp1=readline(integralsFile2,Index4to1Dimension(pp,qq,rr,ss));
          tmp1=hmol2[pp][qq][rr][ss];

          //read h[p,q,s,r] form file using the corresponding spatial indices pp,qq,rr
          // tmp2=readline(integralsFile2,Index4to1Dimension(pp,qq,ss,rr));
          tmp2=hmol2[pp][qq][ss][rr];

          //calculate a1 taking into account spin
          a1=tmp1*((p-s+1)%2)*((q-r+1)%2)-tmp2*((p-r+1)%2)*((q-s+1)%2);

          //a2=h[p,r,q,s]-h[p,r,s,q];
          //read h[p,r,q,s] form file using the corresponding spatial indices pp,qq,rr
          // tmp3=readline(integralsFile2,Index4to1Dimension(pp,rr,qq,ss));
          tmp3=hmol2[pp][rr][qq][ss];

          //read h[p,r,s,q]; from file using the corresponding spatial indices pp,qq,rr
          // tmp4=readline(integralsFile2,Index4to1Dimension(pp,rr,ss,qq));
          tmp4=hmol2[pp][rr][ss][qq];

          //calculate a2 taking into account spin
          a2=tmp3*((p-s+1)%2)*((q-r+1)%2)-tmp4*((p-q+1)%2)*((r-s+1)%2);

          //a3=h[p,s,q,r]-h[p,s,r,q];
          //read h[p,s,q,r] from file using the corresponding spatial indices pp,qq,rr
          // tmp5=readline(integralsFile2,Index4to1Dimension(pp,ss,qq,rr));
          tmp5=hmol2[pp][ss][qq][rr];

          //read h[p,s,r,q] from file using the corresponding spatial indices pp,qq,rr
          // tmp6=readline(integralsFile2,Index4to1Dimension(pp,ss,rr,qq));
          tmp6=hmol2[pp][ss][rr][qq];

          //calculate a3 taking into account spin
          a3=tmp5*((p-r+1)%2)*((q-s+1)%2)-tmp6*((p-q+1)%2)*((r-s+1)%2);

          theta1=(-1.0/8)*(tau/100)*(a1+a2+a3);
          theta2=(-1.0/8)*(tau/100)*(-a1+a2+a3);
          theta3=(-1.0/8)*(tau/100)*(a1-a2+a3);
          theta4=(-1.0/8)*(tau/100)*(a1+a2-a3);

          if((theta1!=0)||(theta2!=0)||(theta3!=0)||(theta4!=0))
          {
            DoubleExcitationOperator(bottomregister,p,q,r,s,theta1,theta2,theta3,theta4,control);
          }
        }
      }
    }
  }
}

// Controlled version of the ApproxU GFI pseudocode module
// applies U_k for a given k
module ApproxU(qbit bottomregister[M],int k,qbit control)
{

	int i;
	int N_k=100;
	N_k=N_k*pow(2,k);

	ControlledPhase(bottomregister[0],control,Emax*tau*pow(2, k-1));

	//apply PauliH1 and Pauli H2 N_k times
  for (i=0;i<N_k;i++)
  {
    PauliH1(bottomregister,control);
    PauliH2(bottomregister,control);
  }

}

//Inverse Quantum Fourier transform on top register
module InverseQFT(qbit topregister[b])
{
	int i,j;
	for (i=0;i<b;i++)
  {
		H(topregister[i]);
		for (j=1;j<(b-i);j++)
			ControlledRotationPiMinus(topregister[i+j],topregister[i],j);
  }
	// forall (i=0;i<(b/2);i++)
	for (i=0;i<(b/2);i++)
		Swap(topregister[i],topregister[b-1-i]);
}



int main()
{
	int i,j;
	int l;
	int meas=0;
	double E0;
	int m[b];
	qbit topregister[b]; // the number of top register qubits
	qbit bottomregister[M];

	//tau=2*PI/DeltaE; // ajavadia


	//prepare ground state
	// forall(i=0;i<M;i++)
	for(i=0;i<M;i++)
	{
		if(i<N)
			PrepZ(bottomregister[i],1);
		else
			PrepZ(bottomregister[i],0);
	}


	// forall (i=0;i<b;i++)
	for (i=0;i<b;i++)
  {
		PrepZ(topregister[i],0); //prepare the top register in 0 state
		H(topregister[i]);
		ApproxU(bottomregister,i, topregister[i]);   //call ApproxU_k controlled by qubit k in the top register
  }

	InverseQFT(topregister);

	// forall (i=0;i<b;i++)
	for (i=0;i<b;i++)
    m[i] = MeasZ(topregister[i]);  //measure each of the top register qubits

	// forall (i=0;i<b;i++)
	for (i=0;i<b;i++)
    meas=meas+m[i]*pow(2,i);		    //calculate m= phase using the results of the measurement

	E0=Emax-DeltaE*meas/pow(2,b);

  return 0;
}