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test_decoherence.cpp
1127 lines (861 loc) · 41.8 KB
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test_decoherence.cpp
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#include "catch.hpp"
#include "QuEST.h"
#include "utilities.hpp"
#include <random>
/** Prepares a density matrix in the debug state, and the reference QMatrix
*/
#define PREPARE_TEST(qureg, ref) \
Qureg qureg = createDensityQureg(NUM_QUBITS, QUEST_ENV); \
initDebugState(qureg); \
QMatrix ref = toQMatrix(qureg);
/* allows concise use of Contains in catch's REQUIRE_THROWS_WITH */
using Catch::Matchers::Contains;
/** @sa mixDamping
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixDamping", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness" ) {
int target = GENERATE( range(0,NUM_QUBITS) );
qreal prob = getRandomReal(0, 1);
mixDamping(qureg, target, prob);
// ref -> kraus0 ref kraus0^dagger + kraus1 ref kraus1^dagger
QMatrix kraus0{{1,0},{0,sqrt(1-prob)}};
QMatrix rho0 = ref;
applyReferenceOp(rho0, target, kraus0);
QMatrix kraus1{{0,sqrt(prob)},{0,0}};
QMatrix rho1 = ref;
applyReferenceOp(rho1, target, kraus1);
ref = rho0 + rho1;
REQUIRE( areEqual(qureg, ref) );
}
SECTION( "validation ") {
SECTION( "qubit index" ) {
int target = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixDamping(qureg, target, 0), Contains("Invalid target") );
}
SECTION( "probability" ) {
REQUIRE_THROWS_WITH( mixDamping(qureg, 0, -.1), Contains("Probabilities") );
REQUIRE_THROWS_WITH( mixDamping(qureg, 0, 1.1), Contains("Probabilities") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixDamping(vec, 0, 0), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixDensityMatrix
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixDensityMatrix", "[decoherence]" ) {
Qureg qureg1 = createDensityQureg(NUM_QUBITS, QUEST_ENV);
Qureg qureg2 = createDensityQureg(NUM_QUBITS, QUEST_ENV);
initDebugState(qureg1);
initDebugState(qureg2);
QMatrix ref1 = toQMatrix(qureg1);
QMatrix ref2 = toQMatrix(qureg2);
SECTION( "correctness" ) {
// test p in {0, 1} and 10 random values in (0,1)
qreal prob = GENERATE( 0., 1., take(10, random(0.,1.)) );
mixDensityMatrix(qureg1, prob, qureg2);
// ensure target qureg modified correctly
ref1 = (1-prob)*ref1 + (prob)*ref2;
REQUIRE( areEqual(qureg1, ref1) );
// enure other qureg was not modified
REQUIRE( areEqual(qureg2, ref2) );
}
SECTION( "input validation" ) {
SECTION( "probabilities") {
qreal prob = GENERATE( -0.1, 1.1 );
REQUIRE_THROWS_WITH( mixDensityMatrix(qureg1, prob, qureg2), Contains("Probabilities") );
}
SECTION( "density matrices" ) {
// one is statevec
Qureg state1 = createQureg(qureg1.numQubitsRepresented, QUEST_ENV);
REQUIRE_THROWS_WITH( mixDensityMatrix(qureg1, 0, state1), Contains("density matrices") );
REQUIRE_THROWS_WITH( mixDensityMatrix(state1, 0, qureg1), Contains("density matrices") );
// both are statevec
Qureg state2 = createQureg(qureg1.numQubitsRepresented, QUEST_ENV);
REQUIRE_THROWS_WITH( mixDensityMatrix(state1, 0, state2), Contains("density matrices") );
destroyQureg(state1, QUEST_ENV);
destroyQureg(state2, QUEST_ENV);
}
SECTION( "matching dimensions" ) {
Qureg qureg3 = createDensityQureg(1 + qureg1.numQubitsRepresented, QUEST_ENV);
REQUIRE_THROWS_WITH( mixDensityMatrix(qureg1, 0, qureg3), Contains("Dimensions") );
REQUIRE_THROWS_WITH( mixDensityMatrix(qureg3, 0, qureg1), Contains("Dimensions") );
destroyQureg(qureg3, QUEST_ENV);
}
}
destroyQureg(qureg1, QUEST_ENV);
destroyQureg(qureg2, QUEST_ENV);
}
/** @sa mixDephasing
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixDephasing", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness " ) {
int target = GENERATE( range(0,NUM_QUBITS) );
qreal prob = getRandomReal(0, 1/2.);
mixDephasing(qureg, target, prob);
// ref -> (1 - prob) ref + prob Z ref Z
QMatrix phaseRef = ref;
applyReferenceOp(phaseRef, target, QMatrix{{1,0},{0,-1}}); // Z ref Z
ref = ((1 - prob) * ref) + (prob * phaseRef);
REQUIRE( areEqual(qureg, ref) );
}
SECTION( "validation ") {
SECTION( "qubit index" ) {
int target = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixDephasing(qureg, target, 0), Contains("Invalid target") );
}
SECTION( "probability" ) {
REQUIRE_THROWS_WITH( mixDephasing(qureg, 0, -.1), Contains("Probabilities") );
REQUIRE_THROWS_WITH( mixDephasing(qureg, 0, .6), Contains("probability") && Contains("cannot exceed 1/2") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixDephasing(vec, 0, 0), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixDepolarising
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixDepolarising", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness " ) {
int target = GENERATE( range(0,NUM_QUBITS) );
qreal prob = getRandomReal(0, 3/4.);
mixDepolarising(qureg, target, prob);
QMatrix xRef = ref;
applyReferenceOp(xRef, target, QMatrix{{0,1},{1,0}}); // X ref X
QMatrix yRef = ref;
applyReferenceOp(yRef, target, QMatrix{{0,-qcomp(0,1)},{qcomp(0,1),0}}); // Y ref Y
QMatrix zRef = ref;
applyReferenceOp(zRef, target, QMatrix{{1,0},{0,-1}}); // Z ref Z
ref = ((1 - prob) * ref) + ((prob/3.) * ( xRef + yRef + zRef));
REQUIRE( areEqual(qureg, ref) );
}
SECTION( "validation ") {
SECTION( "qubit index" ) {
int target = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixDepolarising(qureg, target, 0), Contains("Invalid target") );
}
SECTION( "probability" ) {
REQUIRE_THROWS_WITH( mixDepolarising(qureg, 0, -.1), Contains("Probabilities") );
REQUIRE_THROWS_WITH( mixDepolarising(qureg, 0, .76), Contains("probability") && Contains("cannot exceed 3/4") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixDepolarising(vec, 0, 0), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixMultiQubitKrausMap
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixMultiQubitKrausMap", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
// figure out max-num (inclusive) targs allowed by hardware backend
// (each node must contain as 2^(2*numTargs) amps)
int maxNumTargs = calcLog2(qureg.numAmpsPerChunk) / 2;
SECTION( "correctness" ) {
/* note that this function incurs a stack overhead when numTargs < 4,
* and a heap overhead when numTargs >= 4
*/
// try every size (qubit wise) map
int numTargs = GENERATE_COPY( range(1,maxNumTargs+1) ); // inclusive upper bound
// previously, we tried every unique set of targets, via:
// int* targs = GENERATE_COPY( sublists(range(0,NUM_QUBITS), numTargs) );
// alas, this is too slow for CI, so we instead try a fixed number of random sets:
GENERATE( range(0, 10) );
VLA(int, targs, numTargs);
setRandomTargets(targs, numTargs, NUM_QUBITS);
// try the min and max number of operators, and 2 random numbers
// (there are way too many to try all!)
int maxNumOps = (2*numTargs)*(2*numTargs);
int numOps = GENERATE_COPY( 1, maxNumOps, take(2,random(1,maxNumOps)) );
// use a new random map
std::vector<QMatrix> matrs = getRandomKrausMap(numTargs, numOps);
// create map in QuEST datatypes
VLA(ComplexMatrixN, ops, numOps);
for (int i=0; i<numOps; i++) {
ops[i] = createComplexMatrixN(numTargs);
toComplexMatrixN(matrs[i], ops[i]);
}
mixMultiQubitKrausMap(qureg, targs, numTargs, ops, numOps);
// set ref -> K_i ref K_i^dagger
VLA(QMatrix, matrRefs, numOps);
for (int i=0; i<numOps; i++) {
matrRefs[i] = ref;
applyReferenceOp(matrRefs[i], targs, numTargs, matrs[i]);
}
ref = getZeroMatrix(ref.size());
for (int i=0; i<numOps; i++)
ref += matrRefs[i];
REQUIRE( areEqual(qureg, ref, 1E2*REAL_EPS) );
// cleanup QuEST datatypes
for (int i=0; i<numOps; i++)
destroyComplexMatrixN(ops[i]);
}
SECTION( "input validation" ) {
SECTION( "repetition of target" ) {
// make valid targets
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
// duplicate one
int badInd = GENERATE( range(0,NUM_QUBITS) );
int copyInd = GENERATE_COPY( filter([=](int i){ return i!=badInd; }, range(0,NUM_QUBITS)) );
targs[badInd] = targs[copyInd];
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(qureg, targs, NUM_QUBITS, NULL, 1), Contains("target qubits") && Contains("unique") );
}
SECTION( "qubit indices" ) {
// make valid targets
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
// make one invalid
targs[GENERATE( range(0,NUM_QUBITS) )] = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(qureg, targs, NUM_QUBITS, NULL, 1), Contains("Invalid target qubit") );
}
SECTION( "number of operators" ) {
int numTargs = GENERATE_COPY( range(1,maxNumTargs+1) );
int maxNumOps = (2*numTargs)*(2*numTargs);
int numOps = GENERATE_REF( -1, 0, maxNumOps + 1 );
// make valid targets to avoid triggering target validation
VLA(int, targs, numTargs);
for (int i=0; i<numTargs; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(qureg, targs, numTargs, NULL, numOps), Contains("operators may be specified") );
}
SECTION( "initialisation of operators" ) {
/* compilers don't auto-initialise to NULL; the below circumstance
* only really occurs when 'malloc' returns NULL in createComplexMatrixN,
* which actually triggers its own validation. Hence this test is useless
* currently.
*/
int numTargs = NUM_QUBITS;
int numOps = (2*numTargs)*(2*numTargs);
// no need to initialise ops, but set their attribs correct to avoid triggering other validation
VLA(ComplexMatrixN, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i].numQubits = numTargs;
// make one of the max-ops explicitly NULL
ops[GENERATE_COPY( range(0,numTargs) )].real = NULL;
// make valid targets to avoid triggering target validation
VLA(int, targs, numTargs);
for (int i=0; i<numTargs; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(qureg, targs, numTargs, ops, numOps), Contains("ComplexMatrixN") && Contains("created") );
}
SECTION( "dimension of operators" ) {
// make valid (dimension-wise) max-qubits Kraus map
int numTargs = NUM_QUBITS;
int numOps = (2*numTargs)*(2*numTargs);
VLA(ComplexMatrixN, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i] = createComplexMatrixN(numTargs);
// make one have wrong-dimensions
int badInd = GENERATE_COPY( range(0,numTargs) );
destroyComplexMatrixN(ops[badInd]);
ops[badInd] = createComplexMatrixN(numTargs - 1);
// make valid targets to avoid triggering target validation
VLA(int, targs, numTargs);
for (int i=0; i<numTargs; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(qureg, targs, numTargs, ops, numOps), Contains("same number of qubits") );
for (int i=0; i<numOps; i++)
destroyComplexMatrixN(ops[i]);
}
SECTION( "trace preserving" ) {
int numTargs = GENERATE_COPY( range(1,maxNumTargs+1) );
int maxNumOps = (2*numTargs) * (2*numTargs);
int numOps = GENERATE_COPY( 1, 2, maxNumOps );
// generate a valid map
std::vector<QMatrix> matrs = getRandomKrausMap(numTargs, numOps);
VLA(ComplexMatrixN, ops, numOps);
for (int i=0; i<numOps; i++) {
ops[i] = createComplexMatrixN(numTargs);
toComplexMatrixN(matrs[i], ops[i]);
}
// make only one invalid
ops[GENERATE_REF( range(0,numOps) )].real[0][0] = 0;
// make valid targets to avoid triggering target validation
VLA(int, targs, numTargs);
for (int i=0; i<numTargs; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(qureg, targs, numTargs, ops, numOps), Contains("trace preserving") );
for (int i=0; i<numOps; i++)
destroyComplexMatrixN(ops[i]);
}
SECTION( "density-matrix" ) {
Qureg statevec = createQureg(NUM_QUBITS, QUEST_ENV);
// make valid targets to avoid triggering target validation
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(statevec, targs, NUM_QUBITS, NULL, 1), Contains("valid only for density matrices") );
destroyQureg(statevec, QUEST_ENV);
}
SECTION( "operator fits in node" ) {
// each node requires (2 numTargs)^2 amplitudes
int minAmps = (2*NUM_QUBITS) * (2*NUM_QUBITS);
// make valid targets to avoid triggering target validation
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
// make a simple Identity map
ComplexMatrixN ops[] = {createComplexMatrixN(NUM_QUBITS)};
for (int i=0; i<(1<<NUM_QUBITS); i++)
ops[0].real[i][i] = 1;
// fake a smaller qureg
qureg.numAmpsPerChunk = minAmps - 1;
REQUIRE_THROWS_WITH( mixMultiQubitKrausMap(qureg, targs, NUM_QUBITS, ops, 1), Contains("targets too many qubits") && Contains("cannot all fit") );
destroyComplexMatrixN(ops[0]);
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixPauli
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixPauli", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness" ) {
int target = GENERATE( range(0,NUM_QUBITS) );
// randomly generate valid pauli-error probabilities
qreal probs[3];
qreal max0 = 1/2.; // satisfies p1 < 1 - py
probs[0] = getRandomReal(0, max0);
qreal max1 = (max0 - probs[0])/2.; // p2 can use half of p1's "unused space"
probs[1] = getRandomReal(0, max1);
qreal max2 = (max1 - probs[1])/2.; // p3 can use half of p2's "unused space"
probs[2] = getRandomReal(0, max2);
// uniformly randomly assign probs (bound to target)
int inds[3] = {0,1,2};
std::shuffle(inds,inds+3, std::default_random_engine(1E5 * target));
qreal probX = probs[inds[0]]; // seed:target shows no variation
qreal probY = probs[inds[1]];
qreal probZ = probs[inds[2]];
mixPauli(qureg, target, probX, probY, probZ);
QMatrix xRef = ref;
applyReferenceOp(xRef, target, QMatrix{{0,1},{1,0}}); // X ref X
QMatrix yRef = ref;
applyReferenceOp(yRef, target, QMatrix{{0,-qcomp(0,1)},{qcomp(0,1),0}}); // Y ref Y
QMatrix zRef = ref;
applyReferenceOp(zRef, target, QMatrix{{1,0},{0,-1}}); // Z ref Z
ref = ((1 - probX - probY - probZ) * ref) +
(probX * xRef) + (probY * yRef) + (probZ * zRef);
REQUIRE( areEqual(qureg, ref) );
}
SECTION( "input validation" ) {
SECTION( "qubit index" ) {
int target = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixPauli(qureg, target, 0, 0, 0), Contains("Invalid target") );
}
SECTION( "probability" ) {
int target = 0;
// probs clearly must be in [0, 1]
REQUIRE_THROWS_WITH( mixPauli(qureg, target, -.1, 0, 0), Contains("Probabilities") );
REQUIRE_THROWS_WITH( mixPauli(qureg, target, 0, -.1, 0), Contains("Probabilities") );
REQUIRE_THROWS_WITH( mixPauli(qureg, target, 0, 0, -.1), Contains("Probabilities") );
// max single-non-zero-prob is 0.5
REQUIRE_THROWS_WITH( mixPauli(qureg, target, .6, 0, 0), Contains("cannot exceed the probability") );
REQUIRE_THROWS_WITH( mixPauli(qureg, target, 0, .6, 0), Contains("cannot exceed the probability") );
REQUIRE_THROWS_WITH( mixPauli(qureg, target, 0, 0, .6), Contains("cannot exceed the probability") );
// must satisfy px, py, pz < 1 - px - py - pz
REQUIRE_THROWS_WITH( mixPauli(qureg, target, .3, .3, .3), Contains("cannot exceed the probability") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixPauli(vec, 0, 0, 0, 0), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixKrausMap
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixKrausMap", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness" ) {
int target = GENERATE( range(0,NUM_QUBITS) );
int numOps = GENERATE( range(1,5) ); // max 4 inclusive
std::vector<QMatrix> matrs = getRandomKrausMap(1, numOps);
VLA(ComplexMatrix2, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i] = toComplexMatrix2(matrs[i]);
mixKrausMap(qureg, target, ops, numOps);
// set ref -> K_i ref K_i^dagger
VLA(QMatrix, matrRefs, numOps);
for (int i=0; i<numOps; i++) {
matrRefs[i] = ref;
applyReferenceOp(matrRefs[i], target, matrs[i]);
}
ref = getZeroMatrix(ref.size());
for (int i=0; i<numOps; i++)
ref += matrRefs[i];
REQUIRE( areEqual(qureg, ref, 10*REAL_EPS) );
}
SECTION( "input validation" ) {
SECTION( "number of operators" ) {
int numOps = GENERATE( 0, 5 );
REQUIRE_THROWS_WITH( mixKrausMap(qureg, 0, NULL, numOps), Contains("operators") );
}
SECTION( "trace preserving" ) {
// valid Kraus map
int numOps = GENERATE( range(1,5) ); // max 4 inclusive
std::vector<QMatrix> matrs = getRandomKrausMap(1, numOps);
VLA(ComplexMatrix2, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i] = toComplexMatrix2(matrs[i]);
// make invalid
ops[GENERATE_REF( range(0,numOps) )].real[0][0] = 0;
REQUIRE_THROWS_WITH( mixKrausMap(qureg, 0, ops, numOps), Contains("trace preserving") );
}
SECTION( "qubit index" ) {
int target = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixKrausMap(qureg, target, NULL, 1), Contains("Invalid target qubit") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixKrausMap(vec, 0, NULL, 1), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
SECTION( "operators fit in node" ) {
qureg.numAmpsPerChunk = 3; // min 4
REQUIRE_THROWS_WITH( mixKrausMap(qureg, 0, NULL, 1), Contains("targets too many qubits") );
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixNonTPKrausMap
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixNonTPKrausMap", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness" ) {
int target = GENERATE( range(0,NUM_QUBITS) );
int numOps = GENERATE( range(1,5) ); // max 4 inclusive
// map consists of unconstrained 2x2 random matrices
std::vector<QMatrix> matrs;
for (int i=0; i<numOps; i++)
matrs.push_back(getRandomQMatrix(2));
VLA(ComplexMatrix2, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i] = toComplexMatrix2(matrs[i]);
mixNonTPKrausMap(qureg, target, ops, numOps);
// set ref -> K_i ref K_i^dagger
VLA(QMatrix, matrRefs, numOps);
for (int i=0; i<numOps; i++) {
matrRefs[i] = ref;
applyReferenceOp(matrRefs[i], target, matrs[i]);
}
ref = getZeroMatrix(ref.size());
for (int i=0; i<numOps; i++)
ref += matrRefs[i];
REQUIRE( areEqual(qureg, ref, 1E2*REAL_EPS) );
}
SECTION( "input validation" ) {
SECTION( "number of operators" ) {
int numOps = GENERATE( 0, 5 );
REQUIRE_THROWS_WITH( mixNonTPKrausMap(qureg, 0, NULL, numOps), Contains("operators") );
}
SECTION( "qubit index" ) {
int target = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixNonTPKrausMap(qureg, target, NULL, 1), Contains("Invalid target qubit") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixNonTPKrausMap(vec, 0, NULL, 1), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
SECTION( "operators fit in node" ) {
qureg.numAmpsPerChunk = 3; // min 4
REQUIRE_THROWS_WITH( mixNonTPKrausMap(qureg, 0, NULL, 1), Contains("targets too many qubits") );
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixNonTPMultiQubitKrausMap
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixNonTPMultiQubitKrausMap", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
// figure out max-num (inclusive) targs allowed by hardware backend
// (each node must contain as 2^(2*numTargs) amps)
int maxNumTargs = calcLog2(qureg.numAmpsPerChunk) / 2;
SECTION( "correctness" ) {
/* note that this function incurs a stack overhead when numTargs < 4,
* and a heap overhead when numTargs >= 4
*/
int numTargs = GENERATE_COPY( range(1,maxNumTargs+1) ); // inclusive upper bound
// previously, we tried every unique set of targets, via:
// int* targs = GENERATE_COPY( sublists(range(0,NUM_QUBITS), numTargs) );
// alas, this is too slow for CI, so we instead try a fixed number of random sets:
GENERATE( range(0, 10) );
VLA(int, targs, numTargs);
setRandomTargets(targs, numTargs, NUM_QUBITS);
// try the min and max number of operators, and 2 random numbers
// (there are way too many to try all!)
int maxNumOps = (2*numTargs)*(2*numTargs);
int numOps = GENERATE_COPY( 1, maxNumOps, take(2,random(1,maxNumOps)) );
// use a new random map, of unconstrained random (2^numTargs x 2^numTargs) matrices
std::vector<QMatrix> matrs;
for (int i=0; i<numOps; i++)
matrs.push_back(getRandomQMatrix(1 << numTargs));
// create map in QuEST datatypes
VLA(ComplexMatrixN, ops, numOps);
for (int i=0; i<numOps; i++) {
ops[i] = createComplexMatrixN(numTargs);
toComplexMatrixN(matrs[i], ops[i]);
}
mixNonTPMultiQubitKrausMap(qureg, targs, numTargs, ops, numOps);
// set ref -> K_i ref K_i^dagger
VLA(QMatrix, matrRefs, numOps);
for (int i=0; i<numOps; i++) {
matrRefs[i] = ref;
applyReferenceOp(matrRefs[i], targs, numTargs, matrs[i]);
}
ref = getZeroMatrix(ref.size());
for (int i=0; i<numOps; i++)
ref += matrRefs[i];
REQUIRE( areEqual(qureg, ref, 1E5*REAL_EPS) );
// cleanup QuEST datatypes
for (int i=0; i<numOps; i++)
destroyComplexMatrixN(ops[i]);
}
SECTION( "input validation" ) {
SECTION( "repetition of target" ) {
// make valid targets
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
// duplicate one
int badInd = GENERATE( range(0,NUM_QUBITS) );
int copyInd = GENERATE_COPY( filter([=](int i){ return i!=badInd; }, range(0,NUM_QUBITS)) );
targs[badInd] = targs[copyInd];
REQUIRE_THROWS_WITH( mixNonTPMultiQubitKrausMap(qureg, targs, NUM_QUBITS, NULL, 1), Contains("target qubits") && Contains("unique") );
}
SECTION( "qubit indices" ) {
// make valid targets
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
// make one invalid
targs[GENERATE( range(0,NUM_QUBITS) )] = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixNonTPMultiQubitKrausMap(qureg, targs, NUM_QUBITS, NULL, 1), Contains("Invalid target qubit") );
}
SECTION( "number of operators" ) {
int numTargs = GENERATE_COPY( range(1,maxNumTargs+1) );
int maxNumOps = (2*numTargs)*(2*numTargs);
int numOps = GENERATE_REF( -1, 0, maxNumOps + 1 );
// make valid targets to avoid triggering target validation
VLA(int, targs, numTargs);
for (int i=0; i<numTargs; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixNonTPMultiQubitKrausMap(qureg, targs, numTargs, NULL, numOps), Contains("operators may be specified") );
}
SECTION( "initialisation of operators" ) {
/* compilers don't auto-initialise to NULL; the below circumstance
* only really occurs when 'malloc' returns NULL in createComplexMatrixN,
* which actually triggers its own validation. Hence this test is useless
* currently.
*/
int numTargs = NUM_QUBITS;
int numOps = (2*numTargs)*(2*numTargs);
// no need to initialise ops, but set their attribs correct to avoid triggering other validation
VLA(ComplexMatrixN, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i].numQubits = numTargs;
// make one of the max-ops explicitly NULL
ops[GENERATE_COPY( range(0,numTargs) )].real = NULL;
// make valid targets to avoid triggering target validation
VLA(int, targs, numTargs);
for (int i=0; i<numTargs; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixNonTPMultiQubitKrausMap(qureg, targs, numTargs, ops, numOps), Contains("ComplexMatrixN") && Contains("created") );
}
SECTION( "dimension of operators" ) {
// make valid (dimension-wise) max-qubits Kraus map
int numTargs = NUM_QUBITS;
int numOps = (2*numTargs)*(2*numTargs);
VLA(ComplexMatrixN, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i] = createComplexMatrixN(numTargs);
// make one have wrong-dimensions
int badInd = GENERATE_COPY( range(0,numTargs) );
destroyComplexMatrixN(ops[badInd]);
ops[badInd] = createComplexMatrixN(numTargs - 1);
// make valid targets to avoid triggering target validation
VLA(int, targs, numTargs);
for (int i=0; i<numTargs; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixNonTPMultiQubitKrausMap(qureg, targs, numTargs, ops, numOps), Contains("same number of qubits") );
for (int i=0; i<numOps; i++)
destroyComplexMatrixN(ops[i]);
}
SECTION( "density-matrix" ) {
Qureg statevec = createQureg(NUM_QUBITS, QUEST_ENV);
// make valid targets to avoid triggering target validation
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
REQUIRE_THROWS_WITH( mixNonTPMultiQubitKrausMap(statevec, targs, NUM_QUBITS, NULL, 1), Contains("valid only for density matrices") );
destroyQureg(statevec, QUEST_ENV);
}
SECTION( "operator fits in node" ) {
// each node requires (2 numTargs)^2 amplitudes
int minAmps = (2*NUM_QUBITS) * (2*NUM_QUBITS);
// make valid targets to avoid triggering target validation
int targs[NUM_QUBITS];
for (int i=0; i<NUM_QUBITS; i++)
targs[i] = i;
// make a simple Identity map
ComplexMatrixN ops[] = {createComplexMatrixN(NUM_QUBITS)};
for (int i=0; i<(1<<NUM_QUBITS); i++)
ops[0].real[i][i] = 1;
// fake a smaller qureg
qureg.numAmpsPerChunk = minAmps - 1;
REQUIRE_THROWS_WITH( mixNonTPMultiQubitKrausMap(qureg, targs, NUM_QUBITS, ops, 1), Contains("targets too many qubits") && Contains("cannot all fit") );
destroyComplexMatrixN(ops[0]);
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixNonTPTwoQubitKrausMap
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixNonTPTwoQubitKrausMap", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness" ) {
int targ1 = GENERATE( range(0,NUM_QUBITS) );
int targ2 = GENERATE_COPY( filter([=](int t){ return t!=targ1; }, range(0,NUM_QUBITS)) );
int numOps = GENERATE( range(1,17) ); // max 16 inclusive
// map consists of unconstrained 4x4 random matrices
std::vector<QMatrix> matrs;
for (int i=0; i<numOps; i++)
matrs.push_back(getRandomQMatrix(4));
VLA(ComplexMatrix4, ops, numOps);
for (int i=0; i<numOps; i++)
ops[i] = toComplexMatrix4(matrs[i]);
mixNonTPTwoQubitKrausMap(qureg, targ1, targ2, ops, numOps);
// set ref -> K_i ref K_i^dagger
int targs[2] = {targ1, targ2};
VLA(QMatrix, matrRefs, numOps);
for (int i=0; i<numOps; i++) {
matrRefs[i] = ref;
applyReferenceOp(matrRefs[i], targs, 2, matrs[i]);
}
ref = getZeroMatrix(ref.size());
for (int i=0; i<numOps; i++)
ref += matrRefs[i];
REQUIRE( areEqual(qureg, ref, 1E4*REAL_EPS) );
}
SECTION( "input validation" ) {
SECTION( "number of operators" ) {
int numOps = GENERATE( 0, 17 );
REQUIRE_THROWS_WITH( mixNonTPTwoQubitKrausMap(qureg, 0,1, NULL, numOps), Contains("operators") );
}
SECTION( "target collision" ) {
int target = GENERATE( range(0,NUM_QUBITS) );
REQUIRE_THROWS_WITH( mixNonTPTwoQubitKrausMap(qureg, target, target, NULL, 1), Contains("target qubits") && Contains("unique") );
}
SECTION( "qubit index" ) {
int target = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixNonTPTwoQubitKrausMap(qureg, 0,target, NULL, 1), Contains("Invalid target qubit") );
REQUIRE_THROWS_WITH( mixNonTPTwoQubitKrausMap(qureg, target,0, NULL, 1), Contains("Invalid target qubit") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixNonTPTwoQubitKrausMap(vec, 0,1, NULL, 1), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
SECTION( "operators fit in node" ) {
qureg.numAmpsPerChunk = 15; // min 16
REQUIRE_THROWS_WITH( mixNonTPTwoQubitKrausMap(qureg, 0,1, NULL, 1), Contains("targets too many qubits") );
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixTwoQubitDephasing
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixTwoQubitDephasing", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness" ) {
int targ1 = GENERATE( range(0,NUM_QUBITS) );
int targ2 = GENERATE_COPY( filter([=](int t){ return t!=targ1; }, range(0,NUM_QUBITS)) );
qreal prob = getRandomReal(0, 3/4.);
mixTwoQubitDephasing(qureg, targ1, targ2, prob);
// ref -> (1 - prob) ref + prob/3 (Z1 ref Z1 + Z2 ref Z2 + Z1 Z2 ref Z1 Z2)
QMatrix zMatr{{1,0},{0,-1}};
QMatrix z1Ref = ref;
applyReferenceOp(z1Ref, targ1, zMatr); // Z1 ref Z1
QMatrix z2Ref = ref;
applyReferenceOp(z2Ref, targ2, zMatr); // Z2 ref Z2
QMatrix z1z2Ref = ref;
applyReferenceOp(z1z2Ref, targ1, zMatr);
applyReferenceOp(z1z2Ref, targ2, zMatr); // Z1 Z2 ref Z1 Z2
ref = ((1 - prob) * ref) + (prob/3.) * (z1Ref + z2Ref + z1z2Ref);
REQUIRE( areEqual(qureg, ref) );
}
SECTION( "input validation" ) {
SECTION( "qubit indices" ) {
int targ = GENERATE( -1, NUM_QUBITS );
REQUIRE_THROWS_WITH( mixTwoQubitDephasing(qureg, 0, targ, 0), Contains("Invalid target") );
REQUIRE_THROWS_WITH( mixTwoQubitDephasing(qureg, targ, 0, 0), Contains("Invalid target") );
}
SECTION( "target collision" ) {
int targ = GENERATE( range(0,NUM_QUBITS) );
REQUIRE_THROWS_WITH( mixTwoQubitDephasing(qureg, targ, targ, 0), Contains("target") && Contains("unique") );
}
SECTION( "probability" ) {
REQUIRE_THROWS_WITH( mixTwoQubitDephasing(qureg, 0, 1, -.1), Contains("Probabilities") );
REQUIRE_THROWS_WITH( mixTwoQubitDephasing(qureg, 0, 1, 3/4. + .01), Contains("probability") && Contains("cannot exceed 3/4") );
}
SECTION( "density-matrix" ) {
Qureg vec = createQureg(NUM_QUBITS, QUEST_ENV);
REQUIRE_THROWS_WITH( mixTwoQubitDephasing(vec, 0, 1, 0), Contains("density matrices") );
destroyQureg(vec, QUEST_ENV);
}
}
destroyQureg(qureg, QUEST_ENV);
}
/** @sa mixTwoQubitDepolarising
* @ingroup unittest
* @author Tyson Jones
*/
TEST_CASE( "mixTwoQubitDepolarising", "[decoherence]" ) {
PREPARE_TEST(qureg, ref);
SECTION( "correctness" ) {
int targ1 = GENERATE( range(0,NUM_QUBITS) );
int targ2 = GENERATE_COPY( filter([=](int t){ return t!=targ1; }, range(0,NUM_QUBITS)) );
qreal prob = getRandomReal(0, 15/16.);
mixTwoQubitDepolarising(qureg, targ1, targ2, prob);
QMatrix paulis[4] = {
QMatrix{{1,0},{0,1}}, // I
QMatrix{{0,1},{1,0}}, // X