frankwswang/qmps.jl

A quick realization of the quantum circuit of a matrix product state.

QMPS

A quick realization of qubit-efficient quantum circuit architecture of Matrix Product States (QMPS). This package is an extension package for a quantum simulation framework called Yao.

Supported types of MPS

• Cluster state
• Differentiable circuit constructed state (Support quantum differentiations)

Main functions

For constructing QMPS circuits

• MPSC: Generate the structure of elements related to a QMPS circuit.

• MPSpar: Construct parameters that MPSC needs.

• MPSbuilder: Function for creating different types of MPS circuits.

For differentiable quantum circuits

• DCbuilder: Generate the structure of elements may needed for a Quantum differentiable circuit.

• MPSDCpar: Get the circuit parameters of a differentiable QMPS circuit (QMPS-DC) or of a QMPS-DC extended circuit.

• markDiff: Return the differentiable gate(s) QMPS.QDiff{GT, N} from a block or a block tree such as ChainBlock.

• getQdiff: Quantum differentiation.

• getNdiff: Numerical differentiation.

NOTE: For more introductions and tutorials about the above functions please check the examples directory in the repository as well as the function documentation using Julia's Help mode.

Fields of struct MPSC

Fields	Meanings
circuit	QMPS circuit.
mpsBlocks	Array of all the MPS blocks in the QMPS circuit.
cExtend	The circuit QMPS circuit is extended back to that doesn't reuse any qubit.
cEBlocks	Array of all the MPS blocks in the Extended circuit.
dGates	Differentiable gates of the QMPS circuit if applicable.
nBit	Number of lines (bits) of the QMPS circuit.
nBlock	Number of blocks in the QMPS circuit.

Setup Guide

Environment

• Julia 1.3-1.4
• Yao 0.6

Installation

Please type ] in Julia REPL to enter Pkg mode, then type:

pkg> add https://github.com/frankwswang/QMPS.jl

Reference

*Mitarai, K., Negoro, M., Kitagawa, M., & Fujii, K. (2018). Quantum circuit learning. Physical Review A, 98(3), 032309. (DOI: 10.1103/PhysRevA.98.032309)

*Liu, J. G., Zhang, Y. H., Wan, Y., & Wang, L. (2019). Variational quantum eigensolver with fewer qubits. Physical Review Research, 1(2), 023025. (DOI: 10.1103/PhysRevResearch.1.023025)

License

QMPS is released under Apache License 2.0.