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@@ -2,7 +2,58 @@ from numpy import * |
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from scipy.linalg import sqrtm |
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from tqdm import tqdm |
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import itertools as it |
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from abp import clifford |
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from abp import qi |
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def identify_pauli(m): |
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""" Given a signed Pauli matrix, name it. """ |
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for sign in (+1, -1): |
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for pauli_label, pauli in zip("xyz", qi.paulis): |
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if allclose(sign * pauli, m): |
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return sign, pauli_label |
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def _test_find(): |
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""" Test that slightly suspicious function """ |
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assert lc.find(id, lc.unitaries) == 0 |
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assert lc.find(px, lc.unitaries) == 1 |
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assert lc.find(exp(1j*pi/4.)*ha, lc.unitaries) == 4 |
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def get_action(u): |
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""" What does this unitary operator do to the Paulis? """ |
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return [identify_pauli(u.dot(p.dot(qi.hermitian_conjugate(u)))) for p in qi.paulis] |
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def format_action(action): |
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return "".join("{}{}".format("+" if s >= 0 else "-", p) for s, p in action) |
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def test_we_have_24_matrices(): |
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""" Check that we have 24 unique actions on the Bloch sphere """ |
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actions = set(tuple(get_action(u)) for u in clifford.unitaries) |
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assert len(set(actions)) == 24 |
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def test_we_have_all_useful_gates(): |
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""" Check that all the interesting gates are included up to a global phase """ |
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for name, u in qi.by_name.items(): |
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clifford.find_clifford(u, clifford.unitaries) |
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def _test_group(): |
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""" Test we are really in a group """ |
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matches = set() |
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for a, b in tqdm(it.combinations(clifford.unitaries, 2), "Testing this is a group"): |
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i, phase = clifford.find_clifford(a.dot(b), clifford.unitaries) |
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matches.add(i) |
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assert len(matches)==24 |
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def test_conjugation_table(): |
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""" Check that the table of Hermitian conjugates is okay """ |
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assert len(set(clifford.conjugation_table))==24 |
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def test_times_table(): |
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""" Check the times table """ |
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assert clifford.times_table[0][4]==4 |