ZX-calculus for the working quantum computer scientist

J van de Wetering - arxiv preprint arxiv:2012.13966, 2020 - arxiv.org
The ZX-calculus is a graphical language for reasoning about quantum computation that has
recently seen an increased usage in a variety of areas such as quantum circuit optimisation …

Reducing the number of non-Clifford gates in quantum circuits

A Kissinger, J Van De Wetering - Physical Review A, 2020 - APS
We present a method for reducing the number of non-Clifford quantum gates, in particularly
T-gates, in a circuit, an important task for efficiently implementing fault-tolerant quantum …

[HTML][HTML] Analyzing the barren plateau phenomenon in training quantum neural networks with the ZX-calculus

C Zhao, XS Gao - Quantum, 2021 - quantum-journal.org
In this paper, we propose a general scheme to analyze the gradient vanishing phenomenon,
also known as the barren plateau phenomenon, in training quantum neural networks with …

Single-shot error mitigation by coherent Pauli checks

E van den Berg, S Bravyi, JM Gambetta, P Jurcevic… - Physical Review …, 2023 - APS
Generating samples from the output distribution of a quantum circuit is a ubiquitous task
used as a building block of many quantum algorithms. Here we show how to accomplish this …

A complete axiomatisation of the ZX-calculus for Clifford+ T quantum mechanics

E Jeandel, S Perdrix, R Vilmart - Proceedings of the 33rd Annual ACM …, 2018 - dl.acm.org
We introduce the first complete and approximately universal diagrammatic language for
quantum mechanics. We make the ZX-Calculus, a diagrammatic language introduced by …

[HTML][HTML] The ZX calculus is a language for surface code lattice surgery

N de Beaudrap, D Horsman - Quantum, 2020 - quantum-journal.org
A leading choice of error correction for scalable quantum computing is the surface code with
lattice surgery. The basic lattice surgery operations, the merging and splitting of logical …

Reducing T-count with the ZX-calculus

A Kissinger, J van de Wetering - arxiv preprint arxiv:1903.10477, 2019 - arxiv.org
Reducing the number of non-Clifford quantum gates present in a circuit is an important task
for efficiently implementing quantum computations, especially in the fault-tolerant regime …

Reconstructing quantum theory from diagrammatic postulates

JH Selby, CM Scandolo, B Coecke - Quantum, 2021 - quantum-journal.org
A reconstruction of quantum theory refers to both a mathematical and a conceptual
paradigm that allows one to derive the usual formulation of quantum theory from a set of …

Phase-free ZX diagrams are CSS codes (... or how to graphically grok the surface code)

A Kissinger - arxiv preprint arxiv:2204.14038, 2022 - arxiv.org
In this paper, we demonstrate a direct correspondence between phase-free ZX diagrams, a
graphical notation for representing and manipulating a certain class of linear maps on …

Graphical quantum Clifford-encoder compilers from the ZX calculus

AB Khesin, JZ Lu, PW Shor - arxiv preprint arxiv:2301.02356, 2023 - arxiv.org
We present a quantum compilation algorithm that maps Clifford encoders, encoding maps
for stabilizer quantum codes, to a unique graphical representation in the ZX calculus …