Published: 16th November 2023
DOI: 10.4204/EPTCS.394
ISSN: 2075-2180

EPTCS 394

Proceedings 19th International Conference on
Quantum Physics and Logic
Wolfson College, Oxford, UK, 27 June - 1 July 2022

Edited by: Stefano Gogioso and Matty Hoban

Preface
Stefano Gogioso and Matty Hoban
Logical Characterization of Contextual Hidden-Variable Theories based on Quantum Set Theory
Masanao Ozawa
1
Generators and Relations for 2-Qubit Clifford+T Operators
Xiaoning Bian and Peter Selinger
13
Reducing 2-QuBit Gate Count for ZX-Calculus based Quantum Circuit Optimization
Korbinian Staudacher, Tobias Guggemos, Sophia Grundner-Culemann and Wolfgang Gehrke
29
Building Qutrit Diagonal Gates from Phase Gadgets
John van de Wetering and Lia Yeh
46
Complete Flow-Preserving Rewrite Rules for MBQC Patterns with Pauli Measurements
Tommy McElvanney and Miriam Backens
66
Quantum Linear Optics via String Diagrams
Giovanni de Felice and Bob Coecke
83
Identification of Causal Influences in Quantum Processes
Isaac Friend and Aleks Kissinger
101
Architecture-Aware Synthesis of Phase Polynomials for NISQ Devices
Arianne Meijer-van de Griend and Ross Duncan
116
Encoding High-level Quantum Programs as SZX-diagrams
Augustin Borgna and Rafael Romero
141
Q# as a Quantum Algorithmic Language
Kartik Singhal, Kesha Hietala, Sarah Marshall and Robert Rand
170
Universal Properties of Partial Quantum Maps
Pablo Andrés-Martí­nez, Chris Heunen and Robin Kaarsgaard
192
The Causal Structure of Semantic Ambiguities
Daphne Wang and Mehrnoosh Sadrzadeh
208
Tunable Quantum Neural Networks in the QPAC-Learning Framework
Viet Pham Ngoc, David Tuckey and Herbert Wiklicky
221
How to Sum and Exponentiate Hamiltonians in ZXW Calculus
Razin A. Shaikh, Quanlong Wang and Richie Yeung
236
Diagrammatic Analysis for Parameterized Quantum Circuits
Tobias Stollenwerk and Stuart Hadfield
262
A Biset-Enriched Categorical Model for Proto-Quipper with Dynamic Lifting
Peng Fu, Kohei Kishida, Neil J. Ross and Peter Selinger
302
Symbolic Synthesis of Clifford Circuits and Beyond
Matthew Amy, Owen Bennett-Gibbs and Neil J. Ross
343
Dynamic Qubit Routing with CNOT Circuit Synthesis for Quantum Compilation
Arianne Meijer-van de Griend and Sarah Meng Li
363
Quantum de Finetti Theorems as Categorical Limits, and Limits of State Spaces of C*-algebras
Sam Staton and Ned Summers
400
Annealing Optimisation of Mixed ZX Phase Circuits
Stefano Gogioso and Richie Yeung
415
Finite-dimensional Quantum Observables are the Special Symmetric Dagger-Frobenius Algebras of CP Maps
Stefano Gogioso
432

Preface

This volume contains the proceedings of the 19th International Conference on Quantum Physics and Logic (QPL 2022). The conference was held from 27 June to 1 July 2022 at the University of Oxford, UK.

Quantum Physics and Logic is an annual conference that brings together academic and industry researchers working on mathematical foundations of quantum computation, quantum physics, and related areas. The main focus is on the use of algebraic and categorical structures, formal languages, semantic methods, as well as other mathematical and computer scientific techniques applicable to the study of physical systems, physical processes, and their composition. Work applying quantum-inspired techniques and structures to other fields (such as linguistics, artificial intelligence, and causality) is also welcome.

The QPL 2022 conference solicited four different kinds of submissions: proceedings submissions, non-proceedings submissions, poster submissions, and programming tool submissions.

Proceedings submissions were papers that were required to provide sufficient evidence of results of genuine interest. Authors of accepted proceedings submissions were given the opportunity to present their work during a talk at the conference and these papers were included in the proceedings of QPL 2022. No other kinds of submissions were considered for inclusion in the proceedings. Non-proceedings submissions consisted of a three page summary, together with a (link to a) separate published paper or preprint. Authors of accepted non-proceeding submissions were allowed to present their work in the form of a talk during the conference. Poster submissions consisted of a three page abstract of (partial) results or work in progress and authors of accepted poster submissions were invited to present their work during one of the poster sessions of the conference. Programming tool submissions consisted of three page descriptions of programming tools or frameworks. Authors of accepted programming tool submissions were given an opportunity to present their software during a dedicated "Software Session".

These proceedings contain 20 contributed papers that were selected for publication by the QPL 2022 Program Committee. An additional contributed paper is included, that was selected for publication by the QPL 2020 Program Committee, but not included in the QPL 2020 proceedings in error. Papers submitted to QPL undergo a review process that is managed by members of the PC. Almost all submissions received at least three reviews. The selection of accepted papers was done through the use of the EasyChair conference management system following consideration of the submitted reviews and following (where necessary) discussion among the PC. The review process was single-blind: the identity of the authors is revealed to the reviewers, but not vice-versa. PC members were allowed to invite external experts to serve as sub-reviewers and to participate in the discussion of those submissions which they were invited to review.

A record 132 submissions (excluding withdrawals and retractions) were considered for review by the PC. QPL 2023 had 49 accepted submissions in the non-proceedings track and 25 accepted submissions in the proceedings track. Most of the talks were presented during parallel sessions, but a selection of talks were presented during plenary sessions in the mornings. The program had a poster session, a session dedicated to showcasing accepted programming tool submissions, as well as an industry session, where industrial sponsors of QPL 2022 were given an opportunity to present their companies. The industry session consisted of seven talks, from four sponsors: Quantinuum, Quandela, Huawei and Hashberg.

The official website of the conference is qplconference.org and it contains a lot of relevant information about QPL 2022, as well as links to previous editions.

The Program Committee consisted of 40 members who were: Antonio Acin, Miriam Backens, Jonathan Barrett, Dan Browne, Caslav Brukner, Giulio Chiribella, Bob Coecke, Alejandro Diaz-Caro, Ross Duncan, Yuan Feng, Stefano Gogioso (co-chair), Amar Hadzihasanovic, Teiko Heinosaari, Chris Heunen, Matty Hoban (co-chair), Martti Karvonen, Kohei Kishida, Aleks Kissinger, Ravi Kunjwal, Martha Lewis, Shane Mansfield, Konstantinos Meichanetzidis, David Moore, Mio Murao, Simon Perdrix, Julien Ross, Mehrnoosh Sadrzadeh, Ana Belén Sainz, Carlo Maria Scandolo, John Selby, Rui Soares Barbosa, Pawel Sobocinski, Rob Spekkens, Isar Stubbe, Benoit Valiron, John van de Wetering, Quanlong Wang, Alexander Wilce, Vladimir Zamdzhiev, and Margherita Zorzi.

The Organising Committee consisted of 6 members who were: Bob Coecke, Aleks Kissinger, Stefano Gogioso, Konstantinos Meichanetzidis, Matty Hoban, and Destiny Chen.

The QPL Steering Committee consisted of Bob Coecke, Prakash Panangaden, and Peter Selinger.

We wish to thank all the members of the PC for their work in selecting the program of QPL 2022. We thank all external sub-reviewers for their help, and the authors for their submissions. We are grateful to the EPTCS team for their help in preparing the proceedings of the conference. We also thank the members of the Organising Committee for their help in setting up the conference, the student helpers who volunteered to assist us, as well as the staff of Wolfson College, Oxford, who helped us with the organisation of the conference. Finally, we thank the QPL steering committee for their support and we thank all people who have contributed to the success of QPL 2022.

QPL 2022 received (financial) support from Quantinuum, Quandela, the US Air Force, MindSpore (Huawei), and Hashberg.

Nov 2023, Stefano Gogioso and Matty Hoban