@book{CK17_PicturingQuantumProcesses,
title = {Picturing {{Quantum Processes}}: {{A First Course}} in {{Quantum Theory}} and {{Diagrammatic Reasoning}}},
shorttitle = {Picturing {{Quantum Processes}}},
author = {Coecke, Bob and Kissinger, Aleks},
date = {2017},
publisher = {{Cambridge University Press}},
location = {{Cambridge}},
doi = {10.1017/9781316219317},
url = {https://www.cambridge.org/core/books/picturing-quantum-processes/1119568B3101F3A685BE832FEEC53E52},
urldate = {2021-11-17},
abstract = {The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories. Requiring only basic mathematical literacy, this book employs a unique formalism that builds an intuitive understanding of quantum features while eliminating the need for complex calculations. This entirely diagrammatic presentation of quantum theory represents the culmination of ten years of research, uniting classical techniques in linear algebra and Hilbert spaces with cutting-edge developments in quantum computation and foundations. Written in an entertaining and user-friendly style and including more than one hundred exercises, this book is an ideal first course in quantum theory, foundations, and computation for students from undergraduate to PhD level, as well as an opportunity for researchers from a broad range of fields, from physics to biology, linguistics, and cognitive science, to discover a new set of tools for studying processes and interaction.},
isbn = {978-1-107-10422-8},
file = {/home/leo/Zotero/storage/ACRTPLF2/Bob Coecke, Aleks Kissinger - Picturing Quantum Processes_ A First Course in Quantum Theory and Diagrammatic Reasoning (2017, Cambridge Uni.djvu;/home/leo/Zotero/storage/H4JRJABV/Kissinger_Coecke.pdf;/home/leo/Zotero/storage/MX3QRG3Z/1119568B3101F3A685BE832FEEC53E52.html}
}
@unpublished{CHP19_SZXcalculusScalableGraphical,
title = {{{SZX-calculus}}: {{Scalable Graphical Quantum Reasoning}}},
shorttitle = {{{SZX-calculus}}},
author = {Carette, Titouan and Horsman, Dominic and Perdrix, Simon},
date = {2019},
eprint = {1905.00041},
eprinttype = {arxiv},
primaryclass = {quant-ph},
pages = {15 pages},
doi = {10.4230/LIPIcs.MFCS.2019.55},
url = {http://arxiv.org/abs/1905.00041},
urldate = {2022-09-08},
abstract = {We introduce the Scalable ZX-calculus (SZX-calculus for short), a formal and compact graphical language for the design and verification of quantum computations. The SZX-calculus is an extension of the ZX-calculus, a powerful framework that captures graphically the fundamental properties of quantum mechanics through its complete set of rewrite rules. The ZX-calculus is, however, a low level language, with each wire representing a single qubit. This limits its ability to handle large and elaborate quantum evolutions. We extend the ZX-calculus to registers of qubits and allow compact representation of sub-diagrams via binary matrices. We show soundness and completeness of the SZX-calculus and provide two examples of applications, for graph states and error correcting codes.},
archiveprefix = {arXiv},
keywords = {Quantum Physics},
file = {/home/leo/Zotero/storage/F4PPGLC6/Carette et al. - 2019 - SZX-calculus Scalable Graphical Quantum Reasoning.pdf;/home/leo/Zotero/storage/MUPUEFDZ/1905.html}
}
@unpublished{van20_ZXcalculusWorkingQuantum,
title = {{{ZX-calculus}} for the Working Quantum Computer Scientist},
author = {van de Wetering, John},
options = {useprefix=true},
date = {2020-12-27},
eprint = {2012.13966},
eprinttype = {arxiv},
primaryclass = {quant-ph},
url = {http://arxiv.org/abs/2012.13966},
urldate = {2021-05-29},
abstract = {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, surface codes and lattice surgery, measurement-based quantum computation, and quantum foundations. The first half of this review gives a gentle introduction to the ZX-calculus suitable for those familiar with the basics of quantum computing. The aim here is to make the reader comfortable enough with the ZX-calculus that they could use it in their daily work for small computations on quantum circuits and states. The latter sections give a condensed overview of the literature on the ZX-calculus. We discuss Clifford computation and graphically prove the Gottesman-Knill theorem, we discuss a recently introduced extension of the ZX-calculus that allows for convenient reasoning about Toffoli gates, and we discuss the recent completeness theorems for the ZX-calculus that show that, in principle, all reasoning about quantum computation can be done using ZX-diagrams. Additionally, we discuss the categorical and algebraic origins of the ZX-calculus and we discuss several extensions of the language which can represent mixed states, measurement, classical control and higher-dimensional qudits.},
archiveprefix = {arXiv},
keywords = {Not published,Quantum Physics,Reviews,ZX-Calculus},
file = {/home/leo/Zotero/storage/ZY35RJC6/van de Wetering - 2020 - ZX-calculus for the working quantum computer scien.pdf;/home/leo/Zotero/storage/LFUZAV6Q/2012.html}
}