mimiqcircuits.operations.operators.sigmas¶

Classes

`SigmaMinus`([a])	One-qubit operator corresponding to \(\|0 \rangle\langle 1\|\).
`SigmaPlus`([a])	One-qubit operator corresponding to \(\|1 \rangle\langle 0\|\).

class mimiqcircuits.operations.operators.sigmas.SigmaMinus(a=1)[source]¶

One-qubit operator corresponding to \(|0 \rangle\langle 1|\).

Matrix Representation

\[\begin{split}\begin{pmatrix} 0 & a\\ 0 & 0 \end{pmatrix}\end{split}\]

This matrix is parametrized by a to allow for phases/rescaling.

The parameter a is optional and is set to 1 by default.

See also

Parameters:: a (complex, optional) – Scaling factor for the matrix. Defaults to 1.

Examples

>>> from mimiqcircuits import *
>>> SigmaMinus()
SigmaMinus(1)

>>> SigmaMinus(0.5)
SigmaMinus(0.5)

>>> c = Circuit()
>>> c.push(ExpectationValue(SigmaMinus()), 1, 1)
2-qubit, 2-zvar circuit with 1 instruction:
└── ⟨SigmaMinus(1)⟩ @ q[1], z[1]

class mimiqcircuits.operations.operators.sigmas.SigmaPlus(a=1)[source]¶

One-qubit operator corresponding to \(|1 \rangle\langle 0|\).

Matrix Representation

\[\begin{split}\begin{pmatrix} 0 & 0\\ a & 0 \end{pmatrix}\end{split}\]

This matrix is parametrized by a to allow for phases/rescaling.

The parameter a is optional and is set to 1 by default.

See also

Parameters:: a (complex, optional) – Scaling factor for the matrix. Defaults to 1.

Examples

>>> from mimiqcircuits import *
>>> SigmaPlus()
SigmaPlus(1)

>>> SigmaPlus(0.5)
SigmaPlus(0.5)

>>> c = Circuit()
>>> c.push(ExpectationValue(SigmaPlus()), 1, 1)
2-qubit, 2-zvar circuit with 1 instruction:
└── ⟨SigmaPlus(1)⟩ @ q[1], z[1]