def main(): # parameters for generating random state: |psi> alpha, beta, gamma = random.random(), random.random(), random.random() # reference state: T|psi> qs_expect = QState(1) qs_expect.rz(0, phase=alpha).rx(0, phase=beta).rz(0, phase=gamma).t(0) # prepare initial state qs = QState(3) qs.h(0).s(0) # |Y> qs.h(1).t(1) # |A> qs.rz(2, phase=alpha).rx(2, phase=beta).rz(2, phase=gamma) # |psi> # T gate (only with X,Z,H,CNOT and measurement) qs.cx(1, 2) mval = qs.m(qid=[2]).last if mval == '1': qs.cx(1, 0).h(0).cx(1, 0).h(0) qs.x(1).z(1) qs_actual = qs.partial(qid=[1]) # show the result print("== expect ==") qs_expect.show() print("== actual ==") qs_actual.show() print("== fidelity ==") print("{:.6f}".format(qs_actual.fidelity(qs_expect)))
def test_partial_3_permutation(self): """test 'partial' (3-qubit permutation) """ qs_ini = QState(qubit_num=3).h(0).h(1).cx(1, 2) qs = qs_ini.partial([2, 0, 1]) actual = qs.amp expect = np.array([(0.5 + 0j), 0j, (0.5 + 0j), 0j, 0j, (0.5 + 0j), 0j, (0.5 + 0j)]) ans = equal_vectors(actual, expect) self.assertEqual(ans, True)
def test_partial_2_from_3(self): """test 'partial' (2-qubit state from 3-qubit) """ qs_ini = QState(qubit_num=3).h(0).h(1).cx(1, 2) qs = qs_ini.partial([1, 2]) actual = qs.amp expect = np.array([(0.7071067811865476 + 0j), 0j, 0j, (0.7071067811865476 + 0j)]) ans = equal_vectors(actual, expect) self.assertEqual(ans, True)
def logical_zero(): anc = [0, 1, 2, 3, 4, 5, 6] # registers for ancila cod = [7, 8, 9, 10, 11, 12, 13] # registers for steane code qs_total = QState(14) # g1 qs_total.h(anc[0]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.cx(anc[0], cod[3]).cx(anc[1], cod[4]).cx(anc[2], cod[5]).cx(anc[3], cod[6]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.h(anc[0]) mval = qs_total.m(qid=[anc[0]]).last if mval == '1': qs_total.z(cod[0]).z(cod[1]).z(cod[2]).z(cod[3]) qs_total.reset(qid=anc) # g2 qs_total.h(anc[0]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.cx(anc[0], cod[1]).cx(anc[1], cod[2]).cx(anc[2], cod[5]).cx(anc[3], cod[6]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.h(anc[0]) mval = qs_total.m(qid=[anc[0]]).last if mval == '1': qs_total.z(cod[0]).z(cod[1]).z(cod[4]).z(cod[5]) qs_total.reset(qid=anc) # g3 qs_total.h(anc[0]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.cx(anc[0], cod[0]).cx(anc[1], cod[2]).cx(anc[2], cod[4]).cx(anc[3], cod[6]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.h(anc[0]) mval = qs_total.m(qid=[anc[0]]).last if mval == '1': qs_total.z(cod[2]).z(cod[4]).z(cod[6]) qs_total.reset(qid=anc) # g4 qs_total.h(anc[0]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.cz(anc[0], cod[3]).cz(anc[1], cod[4]).cz(anc[2], cod[5]).cz(anc[3], cod[6]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.h(anc[0]) mval = qs_total.m(qid=[anc[0]]).last if mval == '1': qs_total.x(cod[0]).x(cod[1]).x(cod[2]).x(cod[3]) qs_total.reset(qid=anc) # g5 qs_total.h(anc[0]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.cz(anc[0], cod[1]).cz(anc[1], cod[2]).cz(anc[2], cod[5]).cz(anc[3], cod[6]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.h(anc[0]) mval = qs_total.m(qid=[anc[0]]).last if mval == '1': qs_total.x(cod[0]).x(cod[1]).x(cod[4]).x(cod[5]) qs_total.reset(qid=anc) # g6 qs_total.h(anc[0]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.cz(anc[0], cod[0]).cz(anc[1], cod[2]).cz(anc[2], cod[4]).cz(anc[3], cod[6]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 4)] qs_total.h(anc[0]) mval = qs_total.m(qid=[anc[0]]).last if mval == '1': qs_total.x(cod[2]).x(cod[4]).x(cod[6]) qs_total.reset(qid=anc) # g7 qs_total.h(anc[0]) [qs_total.cx(anc[0], anc[i]) for i in range(1, 7)] [qs_total.cz(anc[i], cod[i]) for i in range(7)] [qs_total.cx(anc[0], anc[i]) for i in range(1, 7)] qs_total.h(anc[0]) mval = qs_total.m(qid=[anc[0]]).last if mval == '1': [qs_total.x(q) for q in cod] qs_total.reset(qid=anc) qs = qs_total.partial(qid=cod) return qs