References

  1. Miriam Backens & Aleks Kissinger (2018): ZH: A Complete Graphical Calculus for Quantum Computations Involving Classical Non-linearity. In: Proceedings of the 15th International Workshop on Quantum Physics and Logic, QPL 2018, Halifax, Canada, 3-7th June 2018., pp. 23–42, doi:10.4204/ EPTCS.287.2.
  2. Miriam Backens, Simon Perdrix & Quanlong Wang (2017): A Simplified Stabilizer ZX-calculus. EPTCS 236, pp. 1–20, doi:10.4204/EPTCS.236.1.
  3. John C. Baez, Brandon Coya & Franciscus Rebro (2018): Props in Network Theory. Theory and Applications of Categories 33(25), pp. 727 – 783. arXiv:1707.08321.
  4. Niel de Beaudrap, Xiaoning Bian & Quanlong Wang (2020): Fast and Effective Techniques for T-Count Reduction via Spider Nest Identities. In: Steven T. Flammia: 15th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2020, June 9-12, 2020, Riga, Latvia, LIPIcs 158. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, pp. 11:1–11:23, doi:10.4230/LIPIcs.TQC.2020.11.
  5. Niel de Beaudrap, Xiaoning Bian & Quanlong Wang (2020): Techniques to Reduce π/4-Parity-Phase Circuits, Motivated by the ZX Calculus. In: Bob Coecke & Matthew Leifer: Proceedings 16th International Conference on Quantum Physics and Logic, Chapman University, Orange, CA, USA., 10-14 June 2019, Electronic Proceedings in Theoretical Computer Science 318. Open Publishing Association, pp. 131–149, doi:10.4204/EPTCS.318.9.
  6. Niel de Beaudrap, Aleks Kissinger & Konstantinos Meichanetzidis (2020): Tensor Network Rewriting Strategies for Satisfiability and Counting. To appear in Proceedings 17th International Conference on Quantum Physics and Logic. arXiv:2004.06455.
  7. Bob Coecke & Ross Duncan (2011): Interacting quantum observables: categorical algebra and diagrammatics. New Journal of Physics 13(4), pp. 043016, doi:10.1088/1367-2630/13/4/043016. Available at http://stacks.iop.org/1367-2630/13/i=4/a=043016.
  8. Bob Coecke, Ross Duncan, Aleks Kissinger & Quanlong Wang (2012): Strong Complementarity and Non-locality in Categorical Quantum Mechanics. In: Proceedings of the 2012 27th Annual IEEE/ACM Symposium on Logic in Computer Science, LICS '12. IEEE Computer Society, pp. 245–254, doi:10.1109/LICS.2012.35.
  9. Bob Coecke & Aleks Kissinger (2017): Picturing quantum processes. Cambridge University Press, doi:10.1017/9781316219317.
  10. Bob Coecke & Quanlong Wang (2018): ZX-rules for 2-qubit Clifford+T Quantum Circuits. In: Proceedings of the 10th International Conference, Reversible Computation 2018, LNCS, pp. 144–161, doi:10.1007/978-3-319-99498-7_10.
  11. Ross Duncan & Simon Perdrix (2009): Graph States and the Necessity of Euler Decomposition. Mathematical Theory and Computational Practice 5635, pp. 167–177, doi:10.1007/978-3-642-03073-4_18.
  12. Amar Hadzihasanovic, Kang Feng Ng & Quanlong Wang (2018): Two Complete Axiomatisations of Pure-state Qubit Quantum Computing. In: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, LICS '18. ACM, pp. 502–511, doi:10.1145/3209108.3209128.
  13. Emmanuel Jeandel, Simon Perdrix & Renaud Vilmart (2018): A Complete Axiomatisation of the ZX-Calculus for Clifford+T Quantum Mechanics. In: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, LICS '18. ACM, New York, NY, USA, pp. 559–568, doi:10.1145/3209108.3209131.
  14. Emmanuel Jeandel, Simon Perdrix & Renaud Vilmart (2018): Diagrammatic Reasoning Beyond Clifford+T Quantum Mechanics. In: Proceedings of the 33rd Annual ACM/IEEE Symposium on Logic in Computer Science, LICS '18. ACM, New York, NY, USA, pp. 569–578, doi:10.1145/3209108.3209139.
  15. Emmanuel Jeandel, Simon Perdrix & Renaud Vilmart (2019): A Generic Normal Form for ZX-Diagrams and Application to the Rational Angle Completeness. In: 34th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2019, Vancouver, BC, Canada, June 24-27, 2019, pp. 1–10, doi:10.1109/LICS.2019.8785754.
  16. Louis Lemonnier, John van de Wetering & Aleks Kissinger (2020): Hypergraph simplification: Linking the path-sum approach to the ZH-calculus. To appear in Proceedings 17th International Conference on Quantum Physics and Logic. arXiv:2003.13564.
  17. Saunders MacLane (1965): Categorical algebra. Bulletin of the American Mathematical Society 71(1), pp. 40–106, doi:10.1090/S0002-9904-1965-11234-4. https://projecteuclid.org:443/euclid.bams/1183526392.
  18. Anthony Munson, Bob Coecke & Quanlong Wang (2020): AND-gates in ZX-calculus: spider nest identities and QBC-completeness. To appear in Proceedings 17th International Conference on Quantum Physics and Logic. arXiv:1910.06818.
  19. Kang Feng Ng & Quanlong Wang (2017): A universal completion of the ZX-calculus. arXiv:1706.09877.
  20. Kang Feng Ng & Quanlong Wang (2018): Completeness of the ZX-calculus for Pure Qubit Clifford+T Quantum Mechanics. arXiv:1801.07993.
  21. Renaud Vilmart (2019): A Near-Minimal Axiomatisation of ZX-Calculus for Pure Qubit Quantum Mechanics. In: 34th Annual ACM/IEEE Symposium on Logic in Computer Science, LICS 2019, Vancouver, BC, Canada, June 24-27, 2019, pp. 1–10, doi:10.1109/LICS.2019.8785765.
  22. John van de Wetering & Sal Wolffs (2019): Completeness of the Phase-free ZH-calculus. arXiv:1904.07545.

Comments and questions to: eptcs@eptcs.org
For website issues: webmaster@eptcs.org