public void OrderFindTest()
{
long x = 2;
long n = 3;
int r = 2; // 2 ^ 2 = 3 + 1
int l = n.BitsCeiling();
int t = OrderFindingTransform.GetPercision(n);
var regs = OrderFindingTransform.Registers(t, l).ToArray();
IUnitaryTransform orderfinder = OrderFindingTransform.Get(x, n, t);
var regTwo = MultiQubit.BasisVector(1, l);
var regOne = new MultiQubit(Enumerable.Range(0, t).Select(i => Qubit.ClassicZero).ToArray());
var input = new MultiQubit(regOne, regTwo);
IQuantumState res = orderfinder.Transform(input);
string inputStr = input.Print(regs);
inputStr.Should().Be("+1.00|0>|1>");
string outStr = res.Print(regs);
// all first register options evenly divide 2^t and reduce to fractiosn
// with a denominator of r = 2
// in this case 0 and 32 over 2^6 equal 0 and 1/2
// therefore answer is 2
outStr.Should().Be("+0.50|0>|1>+0.50|0>|2>+0.50|32>|1>+-0.50|32>|2>");
}
public void PhaseHadamarTest()
{
long x = 2;
long n = 3;
int l = n.BitsCeiling();
int t = l;// OrderFindingTransform.GetPercision(n);
var regs = OrderFindingTransform.Registers(t, l).ToArray();
IUnitaryTransform orderfinder = PhaseEstimator.GetPhaseHadamar(t, l);
var regTwo = MultiQubit.BasisVector(1, l);
var regOne = new MultiQubit(Enumerable.Range(0, t).Select(i => Qubit.ClassicZero).ToArray());
var input = new MultiQubit(regOne, regTwo);
IQuantumState res = orderfinder.Transform(input);
string inputStr = input.Print(regs);
inputStr.Should().Be("+1.00|0>|1>");
string outStr = res.Print(regs);
// first reg is unchanged, second reg is maximally mixed
outStr.Should().Be("+0.50|0>|1>+0.50|1>|1>+0.50|2>|1>+0.50|3>|1>");
}
public void OrderStartTest()
{
long x = 2;
long n = 3;
int l = n.BitsCeiling();
int t = l;// OrderFindingTransform.GetPercision(n);
var regs = OrderFindingTransform.Registers(t, l).ToArray();
IUnitaryTransform orderfinder = OrderFindingTransform.GetStart(x, n, t);
var regTwo = MultiQubit.BasisVector(1, l);
var regOne = new MultiQubit(Enumerable.Range(0, t).Select(i => Qubit.ClassicZero).ToArray());
var input = new MultiQubit(regOne, regTwo);
IQuantumState res = orderfinder.Transform(input);
string inputStr = input.Print(regs);
inputStr.Should().Be("+1.00|0>|1>");
string outStr = res.Print(regs);
outStr.Should().Be("+0.50|0>|1>+0.50|1>|2>+0.50|2>|1>+0.50|3>|2>");
}
public static string Print(this IQuantumState state) => state.Print(
Enumerable.Range(0, state.NumQubits())
.Select(i => new Register
{
QubitIndexes = new[] { i }
}).ToArray());