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quantum_circuit.cpp
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#include "quantum_circuit.h"
#include "cflobdd/CFLOBDD/matrix1234_complex_float_boost.h"
#include "cflobdd/CFLOBDD/vector_complex_float_boost.h"
#include <random>
QuantumCircuit::QuantumCircuit(unsigned int numQubits, int seed) : numQubits (numQubits)
{
mt.seed(seed);
srand(seed);
hadamard_count = 0;
}
QuantumCircuit::QuantumCircuit() : numQubits (0), hadamard_count (0) {}
QuantumCircuit::~QuantumCircuit() {}
using namespace CFL_OBDD;
CFLOBDDQuantumCircuit::CFLOBDDQuantumCircuit(unsigned int numQubits, int seed) : QuantumCircuit(numQubits, seed)
{
// Initialize
CFLOBDDNodeHandle::InitNoDistinctionTable();
CFLOBDDNodeHandle::InitAdditionInterleavedTable();
CFLOBDDNodeHandle::InitReduceCache();
InitPairProductCache();
InitTripleProductCache();
Matrix1234ComplexFloatBoost::Matrix1234Initializer();
VectorComplexFloatBoost::VectorInitializer();
//
unsigned int level = ceil(log2(numQubits)) + 1;
stateVector = VectorComplexFloatBoost::MkBasisVector(level, 0);
}
CFLOBDDQuantumCircuit::CFLOBDDQuantumCircuit()
{
// Initialize
CFLOBDDNodeHandle::InitNoDistinctionTable();
CFLOBDDNodeHandle::InitAdditionInterleavedTable();
CFLOBDDNodeHandle::InitReduceCache();
InitPairProductCache();
InitTripleProductCache();
Matrix1234ComplexFloatBoost::Matrix1234Initializer();
VectorComplexFloatBoost::VectorInitializer();
numQubits = 0;
//
}
CFLOBDDQuantumCircuit::~CFLOBDDQuantumCircuit()
{
DisposeOfTripleProductCache();
DisposeOfPairProductCache();
CFLOBDDNodeHandle::DisposeOfReduceCache();
}
void CFLOBDDQuantumCircuit::setNumQubits(unsigned int num)
{
numQubits = num;
unsigned int level = ceil(log2(numQubits)) + 1;
stateVector = VectorComplexFloatBoost::MkBasisVector(level, 0);
}
CFLOBDD_COMPLEX_BIG ApplyGateF(unsigned int n, unsigned int i, CFLOBDD_COMPLEX_BIG(*f)(unsigned int))
{
if (n == 1)
{
return f(1);
}
else {
int level = ceil(log2(n/2));
if (i < n/2)
{
CFLOBDD_COMPLEX_BIG T = Matrix1234ComplexFloatBoost::MkIdRelationInterleaved(level + 1);
CFLOBDD_COMPLEX_BIG H = ApplyGateF(n/2, i, f);
return Matrix1234ComplexFloatBoost::KroneckerProduct2Vocs(H, T);
}
else
{
CFLOBDD_COMPLEX_BIG T = Matrix1234ComplexFloatBoost::MkIdRelationInterleaved(level + 1);
return Matrix1234ComplexFloatBoost::KroneckerProduct2Vocs(T, ApplyGateF(n/2, i - n/2, f));
}
}
}
CFLOBDD_COMPLEX_BIG ApplyGateFWithParam(unsigned int n, unsigned int i, CFLOBDD_COMPLEX_BIG(*f)(unsigned int, double), double theta)
{
if (n == 1)
{
return f(1, theta);
}
else {
int level = ceil(log2(n/2));
if (i < n/2)
{
CFLOBDD_COMPLEX_BIG T = Matrix1234ComplexFloatBoost::MkIdRelationInterleaved(level + 1);
CFLOBDD_COMPLEX_BIG H = ApplyGateFWithParam(n/2, i, f, theta);
return Matrix1234ComplexFloatBoost::KroneckerProduct2Vocs(H, T);
}
else
{
CFLOBDD_COMPLEX_BIG T = Matrix1234ComplexFloatBoost::MkIdRelationInterleaved(level + 1);
return Matrix1234ComplexFloatBoost::KroneckerProduct2Vocs(T, ApplyGateFWithParam(n/2, i - n/2, f, theta));
}
}
}
bool checkForInit(unsigned int numQubits)
{
return numQubits != 0;
}
void CFLOBDDQuantumCircuit::ApplyIdentityGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto H = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkIdRelationInterleaved);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(H, stateVector);
}
void CFLOBDDQuantumCircuit::ApplyHadamardGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto H = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkWalshInterleaved);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(H, stateVector);
hadamard_count++;
}
void CFLOBDDQuantumCircuit::ApplyNOTGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto X = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkNegationMatrixInterleaved);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(X, stateVector);
}
void CFLOBDDQuantumCircuit::ApplyPauliYGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto Y = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkPauliYMatrixInterleaved);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(Y, stateVector);
}
void CFLOBDDQuantumCircuit::ApplyPauliZGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto Z = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkPauliZMatrixInterleaved);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(Z, stateVector);
}
void CFLOBDDQuantumCircuit::ApplySGate(unsigned int index)
{
auto S = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkSGateInterleaved);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, stateVector);
}
void CFLOBDDQuantumCircuit::ApplyCNOTGate(long int controller, long int controlled)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
assert(controller != controlled);
if (controller < controlled)
{
auto C = Matrix1234ComplexFloatBoost::MkCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller, controlled);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else
{
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller);
auto C = Matrix1234ComplexFloatBoost::MkCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controlled, controller);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplySwapGate(long int index1, long int index2)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
assert(index1 != index2);
if (index1 < index2)
{
auto C = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, index1, index2);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else
{
auto C = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, index2, index1);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplyiSwapGate(long int index1, long int index2)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
assert(index1 != index2);
if (index1 < index2)
{
auto C = Matrix1234ComplexFloatBoost::MkiSwapGate(stateVector.root->level, index1, index2);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else
{
auto C = Matrix1234ComplexFloatBoost::MkiSwapGate(stateVector.root->level, index2, index1);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplyCZGate(long int controller, long int controlled)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
assert(controller != controlled);
if (controller < controlled)
{
auto C = Matrix1234ComplexFloatBoost::MkCPGate(stateVector.root->level, controller, controlled, 1.0);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else
{
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller);
auto C = Matrix1234ComplexFloatBoost::MkCPGate(stateVector.root->level, controlled, controller, 1.0);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplyCPGate(long int controller, long int controlled, double theta)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
assert(controller != controlled);
if (controller < controlled)
{
auto C = Matrix1234ComplexFloatBoost::MkCPGate(stateVector.root->level, controller, controlled, theta);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else
{
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller);
auto C = Matrix1234ComplexFloatBoost::MkCPGate(stateVector.root->level, controlled, controller, theta);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplyCSGate(long int controller, long int controlled)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
ApplyCPGate(controller, controlled, 0.5);
}
void CFLOBDDQuantumCircuit::ApplyPhaseShiftGate(unsigned int index, double theta)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto S = ApplyGateFWithParam(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkPhaseShiftGateInterleaved, theta);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, stateVector);
}
void CFLOBDDQuantumCircuit::ApplyTGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto S = ApplyGateFWithParam(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkPhaseShiftGateInterleaved, 0.25);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, stateVector);
}
void CFLOBDDQuantumCircuit::ApplyCCNOTGate(long int controller1, long int controller2, long int controlled)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
assert(controller1 != controlled);
assert(controller2 != controlled);
assert(controller1 != controller2);
if (controller1 < controller2 && controller2 < controlled)
{
// a b c
auto C = Matrix1234ComplexFloatBoost::MkCCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller1, controller2, controlled);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controller1 < controlled && controlled < controller2)
{
// a c b
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller2);
auto C = Matrix1234ComplexFloatBoost::MkCCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller1, controlled, controller2);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controller2 < controller1 && controller1 < controlled)
{
// b a c
ApplyCCNOTGate(controller2, controller1, controlled);
}
else if (controller2 < controlled && controlled < controller1)
{
// b c a
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller1);
auto C = Matrix1234ComplexFloatBoost::MkCCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller2, controlled, controller1);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controlled < controller1 && controller1 < controller2)
{
// c a b
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller2);
// b a c
auto C = Matrix1234ComplexFloatBoost::MkCCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controlled, controller1, controller2);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controlled < controller2 && controller2 < controller1)
{
// c b a
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller1);
// a b c
auto C = Matrix1234ComplexFloatBoost::MkCCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controlled, controller2, controller1);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplyCCPGate(long int controller1, long int controller2, long int controlled, double theta)
{
assert(controller1 != controlled);
assert(controller2 != controlled);
assert(controller1 != controller2);
if (controller1 < controller2 && controller2 < controlled)
{
// a b c
auto C = Matrix1234ComplexFloatBoost::MkCCP(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller1, controller2, controlled, theta);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controller1 < controlled && controlled < controller2)
{
// a c b
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller2);
auto C = Matrix1234ComplexFloatBoost::MkCCP(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller1, controlled, controller2, theta);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controller2 < controller1 && controller1 < controlled)
{
// b a c
ApplyCCPGate(controller2, controller1, controlled, theta);
}
else if (controller2 < controlled && controlled < controller1)
{
// b c a
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller1);
auto C = Matrix1234ComplexFloatBoost::MkCCP(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller2, controlled, controller1, theta);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controlled < controller1 && controller1 < controller2)
{
// c a b
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller2);
// b a c
auto C = Matrix1234ComplexFloatBoost::MkCCP(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controlled, controller1, controller2, theta);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controlled < controller2 && controller2 < controller1)
{
// c b a
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller1);
// a b c
auto C = Matrix1234ComplexFloatBoost::MkCCP(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controlled, controller2, controller1, theta);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplyMCXGate(std::vector<long int> controllers, long int controlled)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
sort(controllers.begin(), controllers.end());
// assumption controllers < controlled, TODO: change to a more generalized version
if (controllers[controllers.size()-1] < controlled){
auto C = Matrix1234ComplexFloatBoost::MkMCX(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controllers, controlled);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else
{
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controllers[controllers.size()-1]);
auto new_controlled = controllers[controllers.size()-1];
controllers[controllers.size()-1] = controlled;
auto C = Matrix1234ComplexFloatBoost::MkMCX(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controllers, new_controlled);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplyCSwapGate(long int controller, long int index1, long int index2)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
assert(controller != index1);
assert(controller != index2);
assert(index1 != index2);
if (controller < index1 && index1 < index2)
{
// a b c
auto C = Matrix1234ComplexFloatBoost::MkCSwapGate(stateVector.root->level, controller, index1, index2);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (controller < index2 && index2 < index1)
{
// a c b
auto C = Matrix1234ComplexFloatBoost::MkCSwapGate(stateVector.root->level, controller, index2, index1);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (index1 < controller && controller < index2)
{
// b a c
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, index1, controller);
auto C = Matrix1234ComplexFloatBoost::MkCSwapGate(stateVector.root->level, index1, controller, index2);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (index1 < index2 && index2 < controller)
{
// b c a
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, index1, controller);
auto C = Matrix1234ComplexFloatBoost::MkCSwapGate(stateVector.root->level, index1, index2, controller);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (index2 < controller && controller < index1)
{
// c a b
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, index2, controller);
// b a c
auto C = Matrix1234ComplexFloatBoost::MkCSwapGate(stateVector.root->level, index2, controller, index1);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
else if (index2 < index1 && index1 < controller)
{
// c b a
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, index2, controller);
// a b c
auto C = Matrix1234ComplexFloatBoost::MkCSwapGate(stateVector.root->level, index2, index1, controller);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, stateVector);
}
}
void CFLOBDDQuantumCircuit::ApplySXGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto H = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkSXGate);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(H, stateVector);
}
void CFLOBDDQuantumCircuit::ApplySYGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto H = ApplyGateF(std::pow(2, stateVector.root->level-1), index, Matrix1234ComplexFloatBoost::MkSYGate);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(H, stateVector);
}
void CFLOBDDQuantumCircuit::ApplyGlobalPhase(double phase)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
auto cos_v = boost::math::cos_pi(phase);
auto sin_v = boost::math::sin_pi(phase);
BIG_COMPLEX_FLOAT phase_complex(cos_v, sin_v);
stateVector = phase_complex * stateVector;
}
std::string getBits(unsigned int n, int len){
std::string s = "";
if (n == 0){
for (int i = 0; i < len; i++)
s += '0';
}
while (n != 0){
int tmp = n % 2;
s += (tmp == 0) ? '0' : '1';
n = n/2;
}
while (s.length() < (unsigned int)len)
s += '0';
std::reverse(s.begin(), s.end());
return s;
}
std::string getInterleavedBits(std::string s1, std::string s2){
std::string s = "";
for (unsigned int i = 0; i < s1.length(); i++)
{
s = s + s1[i] + s2[i];
}
return s;
}
std::string padBits(std::string s1, unsigned int num){
std::string s = "";
for (unsigned int i = 0; i < s1.length(); i++)
{
s = s + s1[i];
}
for (unsigned int i = s1.length(); i < num; i++)
{
s = s + '0';
}
return s;
}
void CFLOBDDQuantumCircuit::ApplyCUGate(long int a, long int N)
{
unsigned int level = stateVector.root->level;
CFLOBDD_COMPLEX_BIG cu_gate = VectorComplexFloatBoost::MkBasisVector(level, 0);
for (unsigned int i = 1; i < pow(2, numQubits-1); i++)
{
std::string bit_s = getBits(i, numQubits);
bit_s = getInterleavedBits(bit_s, bit_s);
bit_s = padBits(bit_s, std::pow(2, level));
cu_gate = cu_gate + VectorComplexFloatBoost::MkBasisVector(level, bit_s);
}
for (unsigned int i = 0; i < pow(2, numQubits-1); i++)
{
std::string bit_s1 = getBits(pow(2, numQubits-1) + i, numQubits);
std::string bit_s2 = getBits(pow(2, numQubits-1) + (a * i)%N, numQubits);
std::string bit_s = getInterleavedBits(bit_s1, bit_s2);
bit_s = padBits(bit_s, std::pow(2, level));
cu_gate = cu_gate + VectorComplexFloatBoost::MkBasisVector(level, bit_s);
}
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(cu_gate, stateVector);
}
long double CFLOBDDQuantumCircuit::GetProbability(std::map<unsigned int, int>& qubit_vals)
{
// stateVector.print(std::cout);
auto tmp = VectorComplexFloatBoost::VectorWithAmplitude(stateVector);
std::string s(std::pow(2, tmp.root->level-1), 'X');
for (unsigned int i = 0; i < numQubits; i++)
{
if (qubit_vals.find(i) != qubit_vals.end())
{
if (qubit_vals[i] == 0)
s[i] = '0';
else if (qubit_vals[i] == 1)
s[i] = '1';
}
}
auto restricted = Matrix1234ComplexFloatBoost::MkRestrictMatrix(tmp.root->level, s);
tmp = tmp * restricted;
tmp.CountPaths();
return VectorComplexFloatBoost::getNonZeroProbability(tmp);
}
std::string CFLOBDDQuantumCircuit::Measure()
{
// std::cout << stateVector << std::endl;
auto tmp = VectorComplexFloatBoost::VectorWithAmplitude(stateVector);
tmp.CountPaths();
return VectorComplexFloatBoost::Sampling(tmp, true).substr(0, numQubits);
}
std::string CFLOBDDQuantumCircuit::MeasureAndCollapse(std::vector<long int>& indices)
{
std::string final_s = "";
for (long int i = 0; i < indices.size(); i++)
{
auto tmp = VectorComplexFloatBoost::VectorWithAmplitude(stateVector);
tmp.CountPaths();
std::uniform_real_distribution<double> dis(0.0, 1.0);
char x = VectorComplexFloatBoost::Sampling(tmp, true).substr(0, numQubits)[indices[i]];
final_s = final_s + x;
std::string s(std::pow(2, tmp.root->level-1), 'X');
s[indices[i]] = x;
auto restricted = Matrix1234ComplexFloatBoost::MkRestrictMatrix(tmp.root->level, s);
tmp = tmp * restricted;
stateVector = tmp;
}
// stateVector.print(std::cout);
return final_s;
}
unsigned long long int CFLOBDDQuantumCircuit::GetPathCount(long double prob)
{
auto tmp = VectorComplexFloatBoost::VectorWithAmplitude(stateVector);
tmp.CountPaths();
return VectorComplexFloatBoost::GetPathCount(tmp, prob);
}
unsigned int CFLOBDDQuantumCircuit::Size()
{
unsigned int nodeCount = 0, edgeCount = 0, returnEdgeCount = 0, returnEdgeObjCount = 0;
stateVector.CountNodesAndEdges(nodeCount, edgeCount, returnEdgeCount, returnEdgeObjCount);
return (nodeCount + edgeCount);
}
CFLOBDD_COMPLEX_BIG CreateGateF(std::string indices, CFLOBDD_COMPLEX_BIG(*f)(unsigned int))
{
if (indices.find('0') == std::string::npos)
{
unsigned int level = log2(indices.length() * 2);
return f(level);
}
else if (indices.find('1') == std::string::npos)
{
unsigned int level = log2(indices.length() * 2);
return Matrix1234ComplexFloatBoost::MkIdRelationInterleaved(level);
}
else
{
auto F1 = CreateGateF(indices.substr(0, indices.length()/2), f);
auto F2 = CreateGateF(indices.substr(indices.length()/2), f);
return Matrix1234ComplexFloatBoost::KroneckerProduct2Vocs(F1, F2);
}
}
CFLOBDDQuantumGate* CFLOBDDQuantumCircuit::CreateIdentityGate(std::string indices)
{
long int level = ceil(log2(indices.length()));
auto I = Matrix1234ComplexFloatBoost::MkIdRelationInterleaved(level);
return new CFLOBDDQuantumGate(I);
}
CFLOBDDQuantumGate* CFLOBDDQuantumCircuit::CreateHadamardGate(std::string indices)
{
long int adjusted_len = std::pow(2, ceil(log2(indices.length())));
std::string new_indices(adjusted_len, '0');
for (unsigned int i = 0; i < indices.length(); i++)
new_indices[i] = indices[i];
auto H = CreateGateF(new_indices, Matrix1234ComplexFloatBoost::MkWalshInterleaved);
return new CFLOBDDQuantumGate(H);
}
CFLOBDDQuantumGate* CFLOBDDQuantumCircuit::CreateNOTGate(std::string indices)
{
long int adjusted_len = std::pow(2, ceil(log2(indices.length())));
std::string new_indices(adjusted_len, '0');
for ( int i = 0; i < indices.length(); i++)
new_indices[i] = indices[i];
auto H = CreateGateF(new_indices, Matrix1234ComplexFloatBoost::MkNegationMatrixInterleaved);
return new CFLOBDDQuantumGate(H);
}
CFLOBDDQuantumGate* CFLOBDDQuantumCircuit::CreateCNOTGate(long int controller, long int controlled)
{
if (controller < controlled)
{
auto C = Matrix1234ComplexFloatBoost::MkCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controller, controlled);
return new CFLOBDDQuantumGate(C);
}
else
{
auto S = Matrix1234ComplexFloatBoost::MkSwapGate(stateVector.root->level, controlled, controller);
auto C = Matrix1234ComplexFloatBoost::MkCNOT(stateVector.root->level, std::pow(2, stateVector.root->level - 1), controlled, controller);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(C, S);
C = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(S, C);
return new CFLOBDDQuantumGate(C);
}
}
void CFLOBDDQuantumCircuit::ApplyGate(CFLOBDDQuantumGate* m)
{
auto c = m->GetGate();
assert(c.root->level == stateVector.root->level);
stateVector = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(c, stateVector);
}
CFLOBDDQuantumGate* CFLOBDDQuantumCircuit::KroneckerProduct(CFLOBDDQuantumGate* m1, CFLOBDDQuantumGate* m2)
{
auto c1 = m1->GetGate();
auto c2 = m2->GetGate();
assert(c1.root->level == c2.root->level);
auto c = Matrix1234ComplexFloatBoost::KroneckerProduct2Vocs(c1, c2);
return new CFLOBDDQuantumGate(c);
}
CFLOBDDQuantumGate* CFLOBDDQuantumCircuit::GateGateApply(CFLOBDDQuantumGate* m1, CFLOBDDQuantumGate* m2)
{
auto c1 = m1->GetGate();
auto c2 = m2->GetGate();
assert(c1.root->level == c2.root->level);
auto c = Matrix1234ComplexFloatBoost::MatrixMultiplyV4WithInfo(c1, c2);
return new CFLOBDDQuantumGate(c);
}
CFLOBDDQuantumState* CFLOBDDQuantumCircuit::GetState()
{
return new CFLOBDDQuantumState(stateVector);
}
/// ****** BDDQuantumCircuit *******
#include <mpfr.h>
#define RND_TYPE MPFR_RNDF
BDDQuantumCircuit::BDDQuantumCircuit(unsigned int numQubits, int seed) : QuantumCircuit(numQubits, seed)
{
mgr = new Cudd(0,0);
if (numQubits > 512) // Based on experiments
{
mpfr_set_default_prec(300);
CUDD_VALUE_TYPE epsilon;
mpfr_init_set_si(epsilon.real, -1 * (200) , RND_TYPE);
mpfr_exp10(epsilon.real, epsilon.real, RND_TYPE);
mpfr_init_set_si(epsilon.imag, 0, RND_TYPE);
mgr->SetEpsilon(epsilon);
}
if (numQubits > 2048) // Based on experiments
{
mpfr_set_default_prec(500);
CUDD_VALUE_TYPE epsilon;
mpfr_init_set_si(epsilon.real, -1 * (300) , RND_TYPE);
mpfr_exp10(epsilon.real, epsilon.real, RND_TYPE);
mpfr_init_set_si(epsilon.imag, 0, RND_TYPE);
mgr->SetEpsilon(epsilon);
}
for (unsigned int i = 0; i < numQubits; i++)
{
x_vars.push_back(mgr->addVar(3*i));
y_vars.push_back(mgr->addVar(3*i + 1));
z_vars.push_back(mgr->addVar(3*i + 2));
}
stateVector = mgr->addOne();
// e_{0..0}
for (unsigned int i = 0; i < numQubits; i++)
{
stateVector *= ~x_vars[i];
}
}
BDDQuantumCircuit::BDDQuantumCircuit()
{
mgr = new Cudd(0,0);
numQubits = 0;
}
BDDQuantumCircuit::~BDDQuantumCircuit()
{
// delete mgr;
}
void BDDQuantumCircuit::setNumQubits(unsigned int n)
{
numQubits = n;
x_vars.clear();
y_vars.clear();
for (unsigned int i = 0; i < numQubits; i++)
{
x_vars.push_back(mgr->addVar(2*i));
y_vars.push_back(mgr->addVar(2*i + 1));
}
stateVector = mgr->addOne();
// e_{0..0}
for (unsigned int i = 0; i < numQubits; i++)
{
stateVector *= ~x_vars[i];
}
}
void BDDQuantumCircuit::ApplyIdentityGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
ADD IDGate = ~y_vars[index] * ~x_vars[index] + y_vars[index] * x_vars[index];
std::vector<ADD> tmp_x, tmp_y;
tmp_x.push_back(x_vars[index]); tmp_y.push_back(y_vars[index]);
stateVector = IDGate.MatrixMultiply(stateVector, tmp_x);
stateVector = stateVector.SwapVariables(tmp_y, tmp_x);
}
void BDDQuantumCircuit::ApplyHadamardGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
CUDD_VALUE_TYPE H;
mpfr_init_set_d(H.real, 1, RND_TYPE);
mpfr_init_set_d(H.imag, 0, RND_TYPE);
mpfr_div_d(H.real, H.real, sqrt(2), RND_TYPE);
ADD H_val = mgr->constant(H);
mpfr_clear(H.real); mpfr_clear(H.imag);
ADD HGate = (~y_vars[index] + y_vars[index] * (~x_vars[index] - x_vars[index])) * H_val;
// HGate.print(2*numQubits, 2);
std::vector<ADD> tmp_x, tmp_y;
tmp_x.push_back(x_vars[index]); tmp_y.push_back(y_vars[index]);
stateVector = HGate.MatrixMultiply(stateVector, tmp_x);
stateVector = stateVector.SwapVariables(tmp_y, tmp_x);
// if (index == numQubits - 1)
// stateVector.print(2 * numQubits, 2);
hadamard_count++;
}
void BDDQuantumCircuit::ApplyNOTGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
ADD XGate = ~y_vars[index] * x_vars[index] + y_vars[index] * ~x_vars[index];
std::vector<ADD> tmp_x, tmp_y;
tmp_x.push_back(x_vars[index]); tmp_y.push_back(y_vars[index]);
// std::cout << "index: " << index << std::endl;
// stateVector.print(2 * numQubits, 2);
stateVector = XGate.MatrixMultiply(stateVector, tmp_x);
stateVector = stateVector.SwapVariables(tmp_y, tmp_x);
// std::cout << "after" << std::endl;
// stateVector.print(2 * numQubits, 2);
}
void BDDQuantumCircuit::ApplyPauliYGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
CUDD_VALUE_TYPE I;
mpfr_init_set_d(I.real, 0, RND_TYPE);
mpfr_init_set_d(I.imag, 1, RND_TYPE);
ADD I_val = mgr->constant(I);
mpfr_clear(I.real); mpfr_clear(I.imag);
ADD Y = (y_vars[index] * x_vars[index] - ~y_vars[index] * x_vars[index]) * I_val;
std::vector<ADD> tmp_x, tmp_y;
tmp_x.push_back(x_vars[index]); tmp_y.push_back(y_vars[index]);
stateVector = Y.MatrixMultiply(stateVector, tmp_x);
stateVector = stateVector.SwapVariables(tmp_y, tmp_x);
}
void BDDQuantumCircuit::ApplyPauliZGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
ADD ZGate = ~y_vars[index] * ~x_vars[index] - y_vars[index] * x_vars[index];
std::vector<ADD> tmp_x, tmp_y;
tmp_x.push_back(x_vars[index]); tmp_y.push_back(y_vars[index]);
stateVector = ZGate.MatrixMultiply(stateVector, tmp_x);
stateVector = stateVector.SwapVariables(tmp_y, tmp_x);
}
void BDDQuantumCircuit::ApplySGate(unsigned int index)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
CUDD_VALUE_TYPE I;
mpfr_init_set_d(I.real, 0, RND_TYPE);
mpfr_init_set_d(I.imag, 1, RND_TYPE);
ADD I_val = mgr->constant(I);
mpfr_clear(I.real); mpfr_clear(I.imag);
ADD SGate = ~y_vars[index] * ~x_vars[index] + y_vars[index] * x_vars[index] * I_val;
std::vector<ADD> tmp_x, tmp_y;
tmp_x.push_back(x_vars[index]); tmp_y.push_back(y_vars[index]);
stateVector = SGate.MatrixMultiply(stateVector, tmp_x);
stateVector = stateVector.SwapVariables(tmp_y, tmp_x);
}
void BDDQuantumCircuit::ApplyCNOTGate(long int controller, long int controlled)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}
ADD CNOTGate = ~y_vars[controller] * ~y_vars[controlled] * ~x_vars[controller] * ~x_vars[controlled]
+ ~y_vars[controller] * y_vars[controlled] * ~x_vars[controller] * x_vars[controlled]
+ y_vars[controller] * ~y_vars[controlled] * x_vars[controller] * x_vars[controlled]
+ y_vars[controller] * y_vars[controlled] * x_vars[controller] * ~x_vars[controlled];
std::vector<ADD> tmp_x, tmp_y;
tmp_x.push_back(x_vars[controller]); tmp_x.push_back(x_vars[controlled]);
tmp_y.push_back(y_vars[controller]); tmp_y.push_back(y_vars[controlled]);
stateVector = CNOTGate.MatrixMultiply(stateVector, tmp_x);
stateVector = stateVector.SwapVariables(tmp_y, tmp_x);
}
void BDDQuantumCircuit::ApplyGlobalPhase(double phase)
{
if (checkForInit(numQubits) == false)
{
std::cout << "Number of Qubits is unset" << std::endl;
abort();
}