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50 lines
1.8 KiB
50 lines
1.8 KiB
from sympy.core.numbers import (I, pi)
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from sympy.core.symbol import Symbol
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from sympy.functions.elementary.exponential import exp
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from sympy.functions.elementary.miscellaneous import sqrt
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from sympy.matrices.dense import Matrix
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from sympy.physics.quantum.qft import QFT, IQFT, RkGate
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from sympy.physics.quantum.gate import (ZGate, SwapGate, HadamardGate, CGate,
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PhaseGate, TGate)
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from sympy.physics.quantum.qubit import Qubit
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from sympy.physics.quantum.qapply import qapply
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from sympy.physics.quantum.represent import represent
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def test_RkGate():
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x = Symbol('x')
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assert RkGate(1, x).k == x
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assert RkGate(1, x).targets == (1,)
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assert RkGate(1, 1) == ZGate(1)
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assert RkGate(2, 2) == PhaseGate(2)
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assert RkGate(3, 3) == TGate(3)
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assert represent(
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RkGate(0, x), nqubits=1) == Matrix([[1, 0], [0, exp(2*I*pi/2**x)]])
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def test_quantum_fourier():
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assert QFT(0, 3).decompose() == \
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SwapGate(0, 2)*HadamardGate(0)*CGate((0,), PhaseGate(1)) * \
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HadamardGate(1)*CGate((0,), TGate(2))*CGate((1,), PhaseGate(2)) * \
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HadamardGate(2)
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assert IQFT(0, 3).decompose() == \
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HadamardGate(2)*CGate((1,), RkGate(2, -2))*CGate((0,), RkGate(2, -3)) * \
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HadamardGate(1)*CGate((0,), RkGate(1, -2))*HadamardGate(0)*SwapGate(0, 2)
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assert represent(QFT(0, 3), nqubits=3) == \
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Matrix([[exp(2*pi*I/8)**(i*j % 8)/sqrt(8) for i in range(8)] for j in range(8)])
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assert QFT(0, 4).decompose() # non-trivial decomposition
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assert qapply(QFT(0, 3).decompose()*Qubit(0, 0, 0)).expand() == qapply(
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HadamardGate(0)*HadamardGate(1)*HadamardGate(2)*Qubit(0, 0, 0)
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).expand()
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def test_qft_represent():
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c = QFT(0, 3)
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a = represent(c, nqubits=3)
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b = represent(c.decompose(), nqubits=3)
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assert a.evalf(n=10) == b.evalf(n=10)
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