84 lines
2.0 KiB
Python
84 lines
2.0 KiB
Python
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from sympy.core.expr import Expr
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from sympy.core.mul import Mul
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from sympy.core.numbers import (I, Integer)
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from sympy.core.symbol import symbols
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from sympy.functions.elementary.complexes import conjugate
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from sympy.matrices.dense import Matrix
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from sympy.physics.quantum.dagger import adjoint, Dagger
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from sympy.external import import_module
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from sympy.testing.pytest import skip
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from sympy.physics.quantum.operator import Operator, IdentityOperator
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def test_scalars():
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x = symbols('x', complex=True)
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assert Dagger(x) == conjugate(x)
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assert Dagger(I*x) == -I*conjugate(x)
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i = symbols('i', real=True)
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assert Dagger(i) == i
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p = symbols('p')
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assert isinstance(Dagger(p), adjoint)
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i = Integer(3)
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assert Dagger(i) == i
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A = symbols('A', commutative=False)
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assert Dagger(A).is_commutative is False
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def test_matrix():
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x = symbols('x')
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m = Matrix([[I, x*I], [2, 4]])
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assert Dagger(m) == m.H
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def test_dagger_mul():
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O = Operator('O')
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I = IdentityOperator()
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assert Dagger(O)*O == Dagger(O)*O
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assert Dagger(O)*O*I == Mul(Dagger(O), O)*I
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assert Dagger(O)*Dagger(O) == Dagger(O)**2
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assert Dagger(O)*Dagger(I) == Dagger(O)
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class Foo(Expr):
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def _eval_adjoint(self):
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return I
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def test_eval_adjoint():
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f = Foo()
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d = Dagger(f)
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assert d == I
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np = import_module('numpy')
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def test_numpy_dagger():
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if not np:
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skip("numpy not installed.")
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a = np.array([[1.0, 2.0j], [-1.0j, 2.0]])
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adag = a.copy().transpose().conjugate()
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assert (Dagger(a) == adag).all()
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scipy = import_module('scipy', import_kwargs={'fromlist': ['sparse']})
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def test_scipy_sparse_dagger():
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if not np:
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skip("numpy not installed.")
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if not scipy:
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skip("scipy not installed.")
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else:
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sparse = scipy.sparse
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a = sparse.csr_matrix([[1.0 + 0.0j, 2.0j], [-1.0j, 2.0 + 0.0j]])
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adag = a.copy().transpose().conjugate()
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assert np.linalg.norm((Dagger(a) - adag).todense()) == 0.0
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