qrisp.qaoa.XY_mixer

XY_mixer(qv, beta)

Applies multiple XX+YY gates to qv such that each qubit has interacted with it’s neighbour at least once.

The XX+YY gate is a two-qubit gate that performs rotations around the XY plane. It is used as a mixer in QAOA to drive transitions between different states.

A defining feature of this mixer is the fact, that it keeps the number of ones (or equivalently zeros) in the binary representation of the state invariant.

Parameters:

qvQuantumVariable

The quantum variable to which the XY gate is applied.

betafloat or sympy.Symbol

The phase shift value for the XY gate.

Returns:

qvQuantumVariable

The quantum variable after applying the XY gate.