MultiplexOperations operation

  • Article

Warning

This documentation refers to the Classic QDK, which has been replaced by the Modern QDK.

Please see https://aka.ms/qdk.api for the API documentation for the Modern QDK.

Namespace: Microsoft.Quantum.Canon

Package: Microsoft.Quantum.Standard

Applies an array of operations controlled by an array of number states.

That is, applies Multiply-controlled unitary operation $U$ that applies a unitary $V_j$ when controlled by $n$-qubit number state $\ket{j}$.

$U = \sum^{2^n-1}_{j=0}\ket{j}\bra{j}\otimes V_j$.

operation MultiplexOperations<'T> (unitaries : ('T => Unit is Adj + Ctl)[], index : Microsoft.Quantum.Arithmetic.LittleEndian, target : 'T) : Unit is Adj + Ctl

Input

unitaries : 'T => Unit is Adj + Ctl[]

Array of up to $2^n$ unitary operations. The $j$th operation is indexed by the number state $\ket{j}$ encoded in little-endian format.

index : LittleEndian

$n$-qubit control register that encodes number states $\ket{j}$ in little-endian format.

target : 'T

Generic qubit register that $V_j$ acts on.

Output : Unit

Type Parameters

'T

References

  • Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity Ryan Babbush, Craig Gidney, Dominic W. Berry, Nathan Wiebe, Jarrod McClean, Alexandru Paler, Austin Fowler, Hartmut Neven https://arxiv.org/abs/1805.03662