mimiqcircuits.operations.pairmeasure

Pair measurement operations (ZZ, XX, YY).

Classes

MeasureXX()	MeasureXX operation.
MeasureYY()	MeasureYY operation.
MeasureZZ()	MeasureZZ operation.

class mimiqcircuits.operations.pairmeasure.MeasureZZ

Bases: AbstractMeasurement

MeasureZZ operation.

The MeasureZZ operation measures the joint parity of two qubits in the Z-basis. This is achieved by applying a controlled-X (CX) gate, measuring the target qubit, and then applying another CX gate to undo the entanglement. The measurement result indicates whether the qubits are in the same or different states in the Z-basis.

See also

MeasureXX: Measure the joint parity of two qubits in the X-basis. MeasureYY: Measure the joint parity of two qubits in the Y-basis.

Examples

>>> from mimiqcircuits import *
>>> c = Circuit()
>>> c.push(MeasureZZ(), 0, 1, 0)
2-qubit, 1-bit circuit with 1 instruction:
└── MZZ @ q[0:1], c[0]

>>> c.decompose()
2-qubit, 1-bit circuit with 3 instructions:
├── CX @ q[0], q[1]
├── M @ q[1], c[0]
└── CX @ q[0], q[1]

inverse()

power(p)

control(num_qubits)

iswrapper()

get_operation()

class mimiqcircuits.operations.pairmeasure.MeasureXX

Bases: AbstractMeasurement

MeasureXX operation.

The MeasureXX operation measures the joint parity of two qubits in the X-basis, that is the two-qubit Pauli operator \(X \otimes X\). Its decomposition applies a controlled-X (CX) gate from the first qubit to the second and a Hadamard (H) gate on the first qubit. Together they map \(X \otimes X\) to \(Z\) on the first qubit, which is then measured. The H and CX gates are applied again afterwards to undo the basis change, so the qubits are left in the post-measurement state of the \(X \otimes X\) measurement.

A result of 0 indicates that the qubits are in the same state, while a result of 1 indicates that they are in different states.

See also

MeasureZZ: Measure the joint parity of two qubits in the Z-basis. MeasureYY: Measure the joint parity of two qubits in the Y-basis.

Examples

>>> from mimiqcircuits import *
>>> c = Circuit()
>>> c.push(MeasureXX(), 0, 1, 0)
2-qubit, 1-bit circuit with 1 instruction:
└── MXX @ q[0:1], c[0]

>>> c.decompose()
2-qubit, 1-bit circuit with 5 instructions:
├── CX @ q[0], q[1]
├── U((1/2)*pi, 0, pi, 0.0) @ q[0]
├── M @ q[0], c[0]
├── U((1/2)*pi, 0, pi, 0.0) @ q[0]
└── CX @ q[0], q[1]

inverse()

power(p)

control(num_qubits)

iswrapper()

get_operation()

class mimiqcircuits.operations.pairmeasure.MeasureYY

Bases: AbstractMeasurement

MeasureYY operation.

The MeasureYY operation measures the joint parity of two qubits in the Y-basis, that is the two-qubit Pauli operator \(Y \otimes Y\). Its decomposition applies an S gate to both qubits, a controlled-X (CX) gate from the first qubit to the second and a Hadamard (H) gate on the first qubit. Together they map \(Y \otimes Y\) to \(Z\) on the first qubit, which is then measured. The H and CX gates and an S† gate on both qubits are applied afterwards to undo the basis change, so the qubits are left in the post-measurement state of the \(Y \otimes Y\) measurement.

A result of 0 indicates that the qubits are in the same state, while a result of 1 indicates that they are in different states.

See also

MeasureZZ: Measure the joint parity of two qubits in the Z-basis. MeasureXX: Measure the joint parity of two qubits in the X-basis.

Examples

>>> from mimiqcircuits import *
>>> c = Circuit()
>>> c.push(MeasureYY(), 0, 1, 0)
2-qubit, 1-bit circuit with 1 instruction:
└── MYY @ q[0:1], c[0]

>>> c.decompose()
2-qubit, 1-bit circuit with 9 instructions:
├── U(0, 0, (1/2)*pi, 0.0) @ q[0]
├── U(0, 0, (1/2)*pi, 0.0) @ q[1]
├── CX @ q[0], q[1]
├── U((1/2)*pi, 0, pi, 0.0) @ q[0]
├── M @ q[0], c[0]
├── U((1/2)*pi, 0, pi, 0.0) @ q[0]
├── CX @ q[0], q[1]
├── U(0, 0, (-1/2)*pi, 0.0) @ q[0]
└── U(0, 0, (-1/2)*pi, 0.0) @ q[1]

inverse()

power(p)

control(num_qubits)

iswrapper()

get_operation()