The Qupit Stabiliser ZX-travaganza: Simplified Axioms, Normal Forms and Graph-Theoretic Simplification

arXiv2306.05204MaRDI QIDQ6200535

Unnamed Author, Robert I. Booth, Titouan Carette, John van de Wetering, Lia Yeh

Publication date: 22 March 2024

Full work available at URL: https://arxiv.org/abs/2306.05204

Has companion code repository: https://github.com/jvdwetering/dizx

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx)

Cites Work

• Quantum cryptography: public key distribution and coin tossing
• Quantum computing and quantum communications. 1st NASA international conference, QCQC `98, Palm Springs, CA, USA, February 17--20, 1998. Proceedings
• Fault-tolerant quantum computation with higher-dimensional systems
• Constructing all qutrit controlled Clifford+\(T\) gates in Clifford+\(T\)
• Picturing Quantum Processes
• The ZX-calculus is complete for stabilizer quantum mechanics
• Interacting Quantum Observables
• Graph States and the Necessity of Euler Decomposition
• Rewriting Measurement-Based Quantum Computations with Generalised Flow
• Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Interacting quantum observables: categorical algebra and diagrammatics
• Categories for Quantum Theory
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