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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 …
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
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 …
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
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 …
also known as the barren plateau phenomenon, in training quantum neural networks with …
Single-shot error mitigation by coherent Pauli checks
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 …
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
We introduce the first complete and approximately universal diagrammatic language for
quantum mechanics. We make the ZX-Calculus, a diagrammatic language introduced by …
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
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 …
lattice surgery. The basic lattice surgery operations, the merging and splitting of logical …
Reducing T-count with the ZX-calculus
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 …
for efficiently implementing quantum computations, especially in the fault-tolerant regime …
Reconstructing quantum theory from diagrammatic postulates
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 …
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 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 …
for stabilizer quantum codes, to a unique graphical representation in the ZX calculus …