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from sympy.core.mul import Mul
from sympy.core.numbers import Integer
from sympy.core.symbol import Symbol
from sympy.utilities import numbered_symbols
from sympy.physics.quantum.gate import X, Y, Z, H, CNOT, CGate
from sympy.physics.quantum.identitysearch import bfs_identity_search
from sympy.physics.quantum.circuitutils import (kmp_table, find_subcircuit,
replace_subcircuit, convert_to_symbolic_indices,
convert_to_real_indices, random_reduce, random_insert,
flatten_ids)
from sympy.testing.pytest import slow
def create_gate_sequence(qubit=0):
gates = (X(qubit), Y(qubit), Z(qubit), H(qubit))
return gates
def test_kmp_table():
word = ('a', 'b', 'c', 'd', 'a', 'b', 'd')
expected_table = [-1, 0, 0, 0, 0, 1, 2]
assert expected_table == kmp_table(word)
word = ('P', 'A', 'R', 'T', 'I', 'C', 'I', 'P', 'A', 'T', 'E', ' ',
'I', 'N', ' ', 'P', 'A', 'R', 'A', 'C', 'H', 'U', 'T', 'E')
expected_table = [-1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0,
0, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0]
assert expected_table == kmp_table(word)
x = X(0)
y = Y(0)
z = Z(0)
h = H(0)
word = (x, y, y, x, z)
expected_table = [-1, 0, 0, 0, 1]
assert expected_table == kmp_table(word)
word = (x, x, y, h, z)
expected_table = [-1, 0, 1, 0, 0]
assert expected_table == kmp_table(word)
def test_find_subcircuit():
x = X(0)
y = Y(0)
z = Z(0)
h = H(0)
x1 = X(1)
y1 = Y(1)
i0 = Symbol('i0')
x_i0 = X(i0)
y_i0 = Y(i0)
z_i0 = Z(i0)
h_i0 = H(i0)
circuit = (x, y, z)
assert find_subcircuit(circuit, (x,)) == 0
assert find_subcircuit(circuit, (x1,)) == -1
assert find_subcircuit(circuit, (y,)) == 1
assert find_subcircuit(circuit, (h,)) == -1
assert find_subcircuit(circuit, Mul(x, h)) == -1
assert find_subcircuit(circuit, Mul(x, y, z)) == 0
assert find_subcircuit(circuit, Mul(y, z)) == 1
assert find_subcircuit(Mul(*circuit), (x, y, z, h)) == -1
assert find_subcircuit(Mul(*circuit), (z, y, x)) == -1
assert find_subcircuit(circuit, (x,), start=2, end=1) == -1
circuit = (x, y, x, y, z)
assert find_subcircuit(Mul(*circuit), Mul(x, y, z)) == 2
assert find_subcircuit(circuit, (x,), start=1) == 2
assert find_subcircuit(circuit, (x, y), start=1, end=2) == -1
assert find_subcircuit(Mul(*circuit), (x, y), start=1, end=3) == -1
assert find_subcircuit(circuit, (x, y), start=1, end=4) == 2
assert find_subcircuit(circuit, (x, y), start=2, end=4) == 2
circuit = (x, y, z, x1, x, y, z, h, x, y, x1,
x, y, z, h, y1, h)
assert find_subcircuit(circuit, (x, y, z, h, y1)) == 11
circuit = (x, y, x_i0, y_i0, z_i0, z)
assert find_subcircuit(circuit, (x_i0, y_i0, z_i0)) == 2
circuit = (x_i0, y_i0, z_i0, x_i0, y_i0, h_i0)
subcircuit = (x_i0, y_i0, z_i0)
result = find_subcircuit(circuit, subcircuit)
assert result == 0
def test_replace_subcircuit():
x = X(0)
y = Y(0)
z = Z(0)
h = H(0)
cnot = CNOT(1, 0)
cgate_z = CGate((0,), Z(1))
# Standard cases
circuit = (z, y, x, x)
remove = (z, y, x)
assert replace_subcircuit(circuit, Mul(*remove)) == (x,)
assert replace_subcircuit(circuit, remove + (x,)) == ()
assert replace_subcircuit(circuit, remove, pos=1) == circuit
assert replace_subcircuit(circuit, remove, pos=0) == (x,)
assert replace_subcircuit(circuit, (x, x), pos=2) == (z, y)
assert replace_subcircuit(circuit, (h,)) == circuit
circuit = (x, y, x, y, z)
remove = (x, y, z)
assert replace_subcircuit(Mul(*circuit), Mul(*remove)) == (x, y)
remove = (x, y, x, y)
assert replace_subcircuit(circuit, remove) == (z,)
circuit = (x, h, cgate_z, h, cnot)
remove = (x, h, cgate_z)
assert replace_subcircuit(circuit, Mul(*remove), pos=-1) == (h, cnot)
assert replace_subcircuit(circuit, remove, pos=1) == circuit
remove = (h, h)
assert replace_subcircuit(circuit, remove) == circuit
remove = (h, cgate_z, h, cnot)
assert replace_subcircuit(circuit, remove) == (x,)
replace = (h, x)
actual = replace_subcircuit(circuit, remove,
replace=replace)
assert actual == (x, h, x)
circuit = (x, y, h, x, y, z)
remove = (x, y)
replace = (cnot, cgate_z)
actual = replace_subcircuit(circuit, remove,
replace=Mul(*replace))
assert actual == (cnot, cgate_z, h, x, y, z)
actual = replace_subcircuit(circuit, remove,
replace=replace, pos=1)
assert actual == (x, y, h, cnot, cgate_z, z)
def test_convert_to_symbolic_indices():
(x, y, z, h) = create_gate_sequence()
i0 = Symbol('i0')
exp_map = {i0: Integer(0)}
actual, act_map, sndx, gen = convert_to_symbolic_indices((x,))
assert actual == (X(i0),)
assert act_map == exp_map
expected = (X(i0), Y(i0), Z(i0), H(i0))
exp_map = {i0: Integer(0)}
actual, act_map, sndx, gen = convert_to_symbolic_indices((x, y, z, h))
assert actual == expected
assert exp_map == act_map
(x1, y1, z1, h1) = create_gate_sequence(1)
i1 = Symbol('i1')
expected = (X(i0), Y(i0), Z(i0), H(i0))
exp_map = {i0: Integer(1)}
actual, act_map, sndx, gen = convert_to_symbolic_indices((x1, y1, z1, h1))
assert actual == expected
assert act_map == exp_map
expected = (X(i0), Y(i0), Z(i0), H(i0), X(i1), Y(i1), Z(i1), H(i1))
exp_map = {i0: Integer(0), i1: Integer(1)}
actual, act_map, sndx, gen = convert_to_symbolic_indices((x, y, z, h,
x1, y1, z1, h1))
assert actual == expected
assert act_map == exp_map
exp_map = {i0: Integer(1), i1: Integer(0)}
actual, act_map, sndx, gen = convert_to_symbolic_indices(Mul(x1, y1,
z1, h1, x, y, z, h))
assert actual == expected
assert act_map == exp_map
expected = (X(i0), X(i1), Y(i0), Y(i1), Z(i0), Z(i1), H(i0), H(i1))
exp_map = {i0: Integer(0), i1: Integer(1)}
actual, act_map, sndx, gen = convert_to_symbolic_indices(Mul(x, x1,
y, y1, z, z1, h, h1))
assert actual == expected
assert act_map == exp_map
exp_map = {i0: Integer(1), i1: Integer(0)}
actual, act_map, sndx, gen = convert_to_symbolic_indices((x1, x, y1, y,
z1, z, h1, h))
assert actual == expected
assert act_map == exp_map
cnot_10 = CNOT(1, 0)
cnot_01 = CNOT(0, 1)
cgate_z_10 = CGate(1, Z(0))
cgate_z_01 = CGate(0, Z(1))
expected = (X(i0), X(i1), Y(i0), Y(i1), Z(i0), Z(i1),
H(i0), H(i1), CNOT(i1, i0), CNOT(i0, i1),
CGate(i1, Z(i0)), CGate(i0, Z(i1)))
exp_map = {i0: Integer(0), i1: Integer(1)}
args = (x, x1, y, y1, z, z1, h, h1, cnot_10, cnot_01,
cgate_z_10, cgate_z_01)
actual, act_map, sndx, gen = convert_to_symbolic_indices(args)
assert actual == expected
assert act_map == exp_map
args = (x1, x, y1, y, z1, z, h1, h, cnot_10, cnot_01,
cgate_z_10, cgate_z_01)
expected = (X(i0), X(i1), Y(i0), Y(i1), Z(i0), Z(i1),
H(i0), H(i1), CNOT(i0, i1), CNOT(i1, i0),
CGate(i0, Z(i1)), CGate(i1, Z(i0)))
exp_map = {i0: Integer(1), i1: Integer(0)}
actual, act_map, sndx, gen = convert_to_symbolic_indices(args)
assert actual == expected
assert act_map == exp_map
args = (cnot_10, h, cgate_z_01, h)
expected = (CNOT(i0, i1), H(i1), CGate(i1, Z(i0)), H(i1))
exp_map = {i0: Integer(1), i1: Integer(0)}
actual, act_map, sndx, gen = convert_to_symbolic_indices(args)
assert actual == expected
assert act_map == exp_map
args = (cnot_01, h1, cgate_z_10, h1)
exp_map = {i0: Integer(0), i1: Integer(1)}
actual, act_map, sndx, gen = convert_to_symbolic_indices(args)
assert actual == expected
assert act_map == exp_map
args = (cnot_10, h1, cgate_z_01, h1)
expected = (CNOT(i0, i1), H(i0), CGate(i1, Z(i0)), H(i0))
exp_map = {i0: Integer(1), i1: Integer(0)}
actual, act_map, sndx, gen = convert_to_symbolic_indices(args)
assert actual == expected
assert act_map == exp_map
i2 = Symbol('i2')
ccgate_z = CGate(0, CGate(1, Z(2)))
ccgate_x = CGate(1, CGate(2, X(0)))
args = (ccgate_z, ccgate_x)
expected = (CGate(i0, CGate(i1, Z(i2))), CGate(i1, CGate(i2, X(i0))))
exp_map = {i0: Integer(0), i1: Integer(1), i2: Integer(2)}
actual, act_map, sndx, gen = convert_to_symbolic_indices(args)
assert actual == expected
assert act_map == exp_map
ndx_map = {i0: Integer(0)}
index_gen = numbered_symbols(prefix='i', start=1)
actual, act_map, sndx, gen = convert_to_symbolic_indices(args,
qubit_map=ndx_map,
start=i0,
gen=index_gen)
assert actual == expected
assert act_map == exp_map
i3 = Symbol('i3')
cgate_x0_c321 = CGate((3, 2, 1), X(0))
exp_map = {i0: Integer(3), i1: Integer(2),
i2: Integer(1), i3: Integer(0)}
expected = (CGate((i0, i1, i2), X(i3)),)
args = (cgate_x0_c321,)
actual, act_map, sndx, gen = convert_to_symbolic_indices(args)
assert actual == expected
assert act_map == exp_map
def test_convert_to_real_indices():
i0 = Symbol('i0')
i1 = Symbol('i1')
(x, y, z, h) = create_gate_sequence()
x_i0 = X(i0)
y_i0 = Y(i0)
z_i0 = Z(i0)
qubit_map = {i0: 0}
args = (z_i0, y_i0, x_i0)
expected = (z, y, x)
actual = convert_to_real_indices(args, qubit_map)
assert actual == expected
cnot_10 = CNOT(1, 0)
cnot_01 = CNOT(0, 1)
cgate_z_10 = CGate(1, Z(0))
cgate_z_01 = CGate(0, Z(1))
cnot_i1_i0 = CNOT(i1, i0)
cnot_i0_i1 = CNOT(i0, i1)
cgate_z_i1_i0 = CGate(i1, Z(i0))
qubit_map = {i0: 0, i1: 1}
args = (cnot_i1_i0,)
expected = (cnot_10,)
actual = convert_to_real_indices(args, qubit_map)
assert actual == expected
args = (cgate_z_i1_i0,)
expected = (cgate_z_10,)
actual = convert_to_real_indices(args, qubit_map)
assert actual == expected
args = (cnot_i0_i1,)
expected = (cnot_01,)
actual = convert_to_real_indices(args, qubit_map)
assert actual == expected
qubit_map = {i0: 1, i1: 0}
args = (cgate_z_i1_i0,)
expected = (cgate_z_01,)
actual = convert_to_real_indices(args, qubit_map)
assert actual == expected
i2 = Symbol('i2')
ccgate_z = CGate(i0, CGate(i1, Z(i2)))
ccgate_x = CGate(i1, CGate(i2, X(i0)))
qubit_map = {i0: 0, i1: 1, i2: 2}
args = (ccgate_z, ccgate_x)
expected = (CGate(0, CGate(1, Z(2))), CGate(1, CGate(2, X(0))))
actual = convert_to_real_indices(Mul(*args), qubit_map)
assert actual == expected
qubit_map = {i0: 1, i2: 0, i1: 2}
args = (ccgate_x, ccgate_z)
expected = (CGate(2, CGate(0, X(1))), CGate(1, CGate(2, Z(0))))
actual = convert_to_real_indices(args, qubit_map)
assert actual == expected
@slow
def test_random_reduce():
x = X(0)
y = Y(0)
z = Z(0)
h = H(0)
cnot = CNOT(1, 0)
cgate_z = CGate((0,), Z(1))
gate_list = [x, y, z]
ids = list(bfs_identity_search(gate_list, 1, max_depth=4))
circuit = (x, y, h, z, cnot)
assert random_reduce(circuit, []) == circuit
assert random_reduce(circuit, ids) == circuit
seq = [2, 11, 9, 3, 5]
circuit = (x, y, z, x, y, h)
assert random_reduce(circuit, ids, seed=seq) == (x, y, h)
circuit = (x, x, y, y, z, z)
assert random_reduce(circuit, ids, seed=seq) == (x, x, y, y)
seq = [14, 13, 0]
assert random_reduce(circuit, ids, seed=seq) == (y, y, z, z)
gate_list = [x, y, z, h, cnot, cgate_z]
ids = list(bfs_identity_search(gate_list, 2, max_depth=4))
seq = [25]
circuit = (x, y, z, y, h, y, h, cgate_z, h, cnot)
expected = (x, y, z, cgate_z, h, cnot)
assert random_reduce(circuit, ids, seed=seq) == expected
circuit = Mul(*circuit)
assert random_reduce(circuit, ids, seed=seq) == expected
@slow
def test_random_insert():
x = X(0)
y = Y(0)
z = Z(0)
h = H(0)
cnot = CNOT(1, 0)
cgate_z = CGate((0,), Z(1))
choices = [(x, x)]
circuit = (y, y)
loc, choice = 0, 0
actual = random_insert(circuit, choices, seed=[loc, choice])
assert actual == (x, x, y, y)
circuit = (x, y, z, h)
choices = [(h, h), (x, y, z)]
expected = (x, x, y, z, y, z, h)
loc, choice = 1, 1
actual = random_insert(circuit, choices, seed=[loc, choice])
assert actual == expected
gate_list = [x, y, z, h, cnot, cgate_z]
ids = list(bfs_identity_search(gate_list, 2, max_depth=4))
eq_ids = flatten_ids(ids)
circuit = (x, y, h, cnot, cgate_z)
expected = (x, z, x, z, x, y, h, cnot, cgate_z)
loc, choice = 1, 30
actual = random_insert(circuit, eq_ids, seed=[loc, choice])
assert actual == expected
circuit = Mul(*circuit)
actual = random_insert(circuit, eq_ids, seed=[loc, choice])
assert actual == expected
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