cnot is generalized to two qubit gate
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Daniel Tsvetkov
parent
402ac81f2a
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@ -428,8 +428,8 @@ class HermitianOperator(LinearOperator, HermitianMatrix):
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return str(self.m)
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# TODO - How to add a CNOT gate to the Quantum Processor?
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# Imagine if I have to act on a 3-qubit computer and CNOT(q1, q3)
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# How to add a CNOT gate to the Quantum Processor?
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# Imagine if I have to act on a 3-qubit computer and CNOT(q1, q3)
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#
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# Decomposed CNOT :
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# reverse engineered from
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@ -454,8 +454,8 @@ class TwoQubitPartial(object):
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return str("-{}-".format(self.rpr))
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C_ = TwoQubitPartial("C")
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x_ = TwoQubitPartial("x")
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C_partial = TwoQubitPartial("C")
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x_partial = TwoQubitPartial("x")
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class TwoQubitOperator(UnitaryOperator):
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@ -468,13 +468,16 @@ class TwoQubitOperator(UnitaryOperator):
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self.A_p = A_p
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self.B_p = B_p
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A.operator = self
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B.operator = self
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def verify_step(self, step):
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if not (step.count(self.A) == 1 and step.count(self.B) == 1):
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raise RuntimeError("Both CONTROL and TARGET need to be defined in the same step exactly once")
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raise RuntimeError("Both {} and {} need to be defined in the same step exactly once".format(
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self.A, self.B
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))
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def compose(self, step, state):
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# TODO: Hacky way to do CNOT
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# Should generalize for a 2-Qubit gate
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# _0.x(_0) * Matrix(I.m) + _1.x(_1) * Matrix(X.m)
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outer_0, outer_1 = [], []
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for s in step:
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@ -555,11 +558,12 @@ Z = UnitaryOperator([[1, 0],
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name="Z")
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# TODO: These are rotations that are specified commonly e.g. in
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# These are rotations that are specified commonly e.g. in
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# https://www.quantum-inspire.com/kbase/rotation-operators/
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# http://www.vcpc.univie.ac.at/~ian/hotlist/qc/talks/bloch-sphere-rotations.pdf
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# and elsewhere DO NOT equate X, Y and Z for theta=np.pi
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# ??????????????????????????????????????????????????????
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# However - they are correct up to a global phase which is all that matters for measurement purposes
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#
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def Rx(theta):
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return UnitaryOperator([[np.cos(theta / 2), -1j * np.sin(theta / 2)],
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@ -578,11 +582,6 @@ def Rz(theta):
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[0, np.power(np.e, 1j * theta / 2)]],
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name="Rz")
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# def unitary(alpha, vector:Vector, theta):
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# return np.exp(1j * alpha)
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H = UnitaryOperator([[1 / np.sqrt(2), 1 / np.sqrt(2)],
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[1 / np.sqrt(2), -1 / np.sqrt(2)], ],
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name="H")
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@ -591,16 +590,7 @@ CNOT = TwoQubitOperator([[1, 0, 0, 0],
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[0, 1, 0, 0],
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[0, 0, 0, 1],
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[0, 0, 1, 0], ],
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TwoQubitPartial("C"),
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TwoQubitPartial("x"),
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I,
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X)
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C, x = CNOT.A, CNOT.B
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# TODO: End Hacky way to define 2-qbit gate
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###########################################################
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C_partial, x_partial, I, X)
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def assert_raises(exception, msg, callable, *args, **kwargs):
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@ -664,7 +654,7 @@ class MeasurementOpeartor(HermitianOperator):
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def get_prob(self, state: State):
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state_ct = state.conjugate_transpose()
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return np.asscalar(state_ct.m.dot(self.m.dot(state.m)))
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return state_ct.m.dot(self.m.dot(state.m)).item()
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def test_measurement_ops():
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@ -939,24 +929,12 @@ class QuantumCircuit(object):
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self.add_row(row_data)
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def compose_quantum_state(self, step):
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if C in step or x in step:
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if not (step.count(C) == 1 and step.count(x) == 1):
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raise RuntimeError("Both CONTROL and TARGET need to be defined in the same step exactly once")
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# TODO: Hacky way to do CNOT
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# Should generalize for a 2-Qubit gate
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# _0.x(_0) * Matrix(I.m) + _1.x(_1) * Matrix(X.m)
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outer_0, outer_1 = [], []
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for s in step:
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if s == C:
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outer_0.append(_0.x(_0))
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outer_1.append(_1.x(_1))
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elif s == x:
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outer_0.append(Matrix(I.m))
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outer_1.append(Matrix(X.m))
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else:
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outer_0.append(Matrix(s.m))
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outer_1.append(Matrix(s.m))
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return reduce((lambda x, y: x * y), outer_0) + reduce((lambda x, y: x * y), outer_1)
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partials = [op for op in step if isinstance(op, TwoQubitPartial)]
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# TODO: No more than 1 TwoQubitGate **OR** UnitaryOperator can be used in a step
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for partial in partials:
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two_qubit_op = partial.operator
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two_qubit_op.verify_step()
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return two_qubit_op.compose(step)
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return reduce((lambda x, y: x * y), step)
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def step(self):
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@ -1077,9 +1055,9 @@ class QuantumProcessor(object):
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def test_quantum_processor():
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# Produce Bell state between 0 and 2 qubit
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qc = QuantumCircuit(3)
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qc.add_row([H, C])
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qc.add_row([H, C_partial])
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qc.add_row([_, _])
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qc.add_row([_, x])
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qc.add_row([_, x_partial])
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qc.print()
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qp = QuantumProcessor(qc)
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qp.get_sample(100)
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