QuantumOps (version 3.0.1)

DecomposeGate: DecomposeGate

Description

Uses the gridsynth algorithm Sellinger 2012 <arXiv:1212.6253>, which is available at https://www.mathstat.dal.ca/~selinger/newsynth/, to decompose arbitrary gates to the Clifford+T set. For decomposition of controlled 2-qubit gates, circuits from Amy 2013 <DOI:10.1109/TCAD.2013.2244643> are also used.

Usage

DecomposeGate(path,g,TwoQubit=FALSE,n=1,tQubit=0,cQubit=1,prec=10)

Arguments

path

String of path to folder containing gridsynth binary (not including gridsynths file name). R must have permission to read and write from this folder, and to execute the binary.

g

If a single number, this is the Z-rotation angle to approximate. If a vector of length 3, it is the alpha, beta, and gamma parameters as defined in Schuld 2018 <arXiv:1804.00633>.

TwoQubit

Boolean specifying whether this is a single or controlled 2-qubit gate

n

The total number of qubits in the system. If TwoQubit is TRUE, the returned circuit will have n+1 qubits due to the requirement of an ancilla qubit.

tQubit

The target qubit. If a single qubit gate, the gate is applied to this qubit. If a 2-qubit gate, this is the target qubit.

cQubit

Control qubit if a 2-qubit gate. Value does not matter for single qubit gate.

prec

The binary precision of the approximation, which is passed to the gridsynth binary.

Value

List of cycles which approximates the input gate.

Examples

# NOT RUN {
 DecomposeGate(path="./",g=pi/5,TwoQubit=TRUE,n=3,tQubit=0,cQubit=1,prec=3)
# }