hoptimalitytest.cpp
// Copyright (c) 2012 Vadym Kliuchnikov sqct(dot)software(at)gmail(dot)com, Dmitri Maslov, Michele Mosca
//
// This file is part of SQCT.
//
// SQCT is free software: you can redistribute it and/or modify
// it under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation, either version 3 of the License, or
// (at your option) any later version.
//
// SQCT is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU Lesser General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public License
// along with SQCT. If not, see <http://www.gnu.org/licenses/>.
//
#include "hoptimalitytest.h"
#include "output.h"
#include "exactdecomposer.h"
#include "numbers-stat.h"
#include <iostream>
#include <iomanip>
using namespace std;
static void print_list( std::vector<int>& a, std::vector<int>& b, std::vector<int>& c)
{
cout << "sde(|.|^2) total min-H max-H" << endl;
cout << " gates gates" << endl;
for( int i = 0; i < a.size(); ++i )
if( a[i] != 0 )
cout << setw (10) << i << ":" <<
setw (7) << a[i] << " " <<
setw (7) << b[i] << " " <<
setw (7) << c[i] << endl;
}
hoptimalitytest::hoptimalitytest()
{
init();
}
//assumes that initial node is identity matrix
static void getCircuit( circuit& res, const optNode* node, const vector<int>& genIdToGateId )
{
const optNode* current = node;
while( current->parent != 0 )
{
res.push_front( genIdToGateId[current->gen_id] );
current = current->parent;
}
}
void hoptimalitytest::init()
{
const bool verbose = true;
static gateLibrary gl;
typedef matrix2x2<int> m;
ogc.m_generators = { m::X(), m::Y(), m::Z(), m::T(), m::T().conjugateTranspose(), m::P(), m::P().conjugateTranspose() };
vector<int> genIdToGateId = { gl.X, gl.Y, gl.Z, gl.T, gl.Td, gl.P, gl.Pd };
ogc.m_cost = { 1,2,1,40,40,10,10 };
ogc.m_initial = { m::Id() };
vector<int> initialGates = { gl.Id };
ogc.m_initial_cost = {0};
ogc.generate();
//produce couning bounds
typedef columnsCounter<8> cC;
unique_ptr<cC> cp( new cC );
cp->generate_all_numbers();
cp->count_all_columns();
//setup bounds
for( int i = 0 ; i < cp->sde_stat.size() ; ++i )
og.m_sde_required.at(i) = cp->sde_stat[i];
m_clifford.resize( ogc.unique_elements().size() );
auto k = m_clifford.begin();
for( auto i : ogc.unique_elements() )
{
getCircuit(*k,i.get(),genIdToGateId);
if( verbose ) { k->toStreamSym(cout); cout << "," << endl; }
og.m_generators.push_back( i->unitary * m::H() );
og.m_cost.push_back( 1 );
og.m_initial.push_back( i->unitary );
++k;
}
og.m_initial_cost.resize( og.m_initial.size(), 0 );
og.generate();
if( verbose ) print_list( og.m_sde_found, og.m_min_cost, og.m_max_cost );
}