ApplyLowDepthAnd operation
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Please see https://aka.ms/qdk.api for the API documentation for the Modern QDK.
Namespace: Microsoft.Quantum.Canon
Package: Microsoft.Quantum.Standard
Inverts a given target qubit if and only if both control qubits are in the 1 state, with T-depth 1, using measurement to perform the adjoint operation.
operation ApplyLowDepthAnd (control1 : Qubit, control2 : Qubit, target : Qubit) : Unit is Adj + Ctl
Description
Inverts target
if and only if both controls are 1, but assumes that
target
is in state 0. The operation has T-count 4, T-depth 1 and
requires one helper qubit, and may therefore be preferable to a CCNOT
operation, if target
is known to be 0. The adjoint of this operation
is measurement based and requires no T gates, and no helper qubit.
Input
control1 : Qubit
First control qubit
control2 : Qubit
Second control qubit
target : Qubit
Target auxiliary qubit; must be in state 0
Output : Unit
References
- Cody Jones: "Novel constructions for the fault-tolerant Toffoli gate", Phys. Rev. A 87, 022328, 2013 arXiv:1212.5069 doi:10.1103/PhysRevA.87.022328
- Peter Selinger: "Quantum circuits of T-depth one", Phys. Rev. A 87, 042302, 2013 arXiv:1210.0974 doi:10.1103/PhysRevA.87.042302
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