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 …

Quantum circuit synthesis and compilation optimization: Overview and prospects

Y Ge, W Wenjie, C Yuheng, P Kaisen, L Xudong… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum computing is regarded as a promising paradigm that may overcome the current
computational power bottlenecks in the post-Moore era. The increasing maturity of quantum …

There and back again: A circuit extraction tale

M Backens, H Miller-Bakewell, G de Felice… - Quantum, 2021 - quantum-journal.org
Translations between the quantum circuit model and the measurement-based one-way
model are useful for verification and optimisation of quantum computations. They make …

Completeness for arbitrary finite dimensions of ZXW-calculus, a unifying calculus

B Poór, Q Wang, RA Shaikh, L Yeh… - 2023 38th Annual …, 2023 - ieeexplore.ieee.org
The ZX-calculus is a universal graphical language for qubit quantum computation, meaning
that every linear map between qubits can be expressed in the ZX-calculus. Furthermore, it is …

Simulating quantum circuits with ZX-calculus reduced stabiliser decompositions

A Kissinger, J van de Wetering - Quantum Science and …, 2022 - iopscience.iop.org
We introduce an enhanced technique for strong classical simulation of quantum circuits
which combines the'sum-of-stabilisers' method with an automated simplification strategy …

Fast and effective techniques for T-count reduction via spider nest identities

N de Beaudrap, X Bian, Q Wang - arxiv preprint arxiv:2004.05164, 2020 - arxiv.org
In fault-tolerant quantum computing systems, realising (approximately) universal quantum
computation is usually described in terms of realising Clifford+ T operations, which is to say …

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 …

Quantum circuit optimization with alphatensor

FJR Ruiz, T Laakkonen, J Bausch, M Balog… - arxiv preprint arxiv …, 2024 - arxiv.org
A key challenge in realizing fault-tolerant quantum computers is circuit optimization.
Focusing on the most expensive gates in fault-tolerant quantum computation (namely, the T …

Quantum picturalism: learning quantum theory in high school

S Dündar-Coecke, L Yeh, C Puca… - 2023 IEEE …, 2023 - ieeexplore.ieee.org
Quantum theory is often regarded as challenging to learn and teach, with advanced
mathematical prerequisites ranging from complex numbers and probability theory to matrix …

Constructing quantum circuits with global gates

J Van de Wetering - New Journal of Physics, 2021 - iopscience.iop.org
There are various gate sets that can be used to describe a quantum computation. A
particularly popular gate set in the literature on quantum computing consists of arbitrary …