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A universal completion of the ZX-calculus

arXiv 1706.09877 ↗First posted 29 Jun 2017quant-ph cs.LO math.CTcited by 2

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Abstract (arXiv)

In this paper, we give a universal completion of the ZX-calculus for the whole of pure qubit quantum mechanics. This proof is based on the completeness of another graphical language: the ZW-calculus, with direct translations between these two graphical systems.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 Jun 2017.

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Citing papers per year: 2021: 1; 2022: 0; 2023: 0; 2024: 0; 2025: 1.

2 papers.

  1. 2021Kindergarden quantum mechanics graduates (...or how I learned to stop gluing LEGO together and love the ZX-calculus)cited by 4
  2. 2025Optimizing Quantum Circuits via ZX Diagrams using Reinforcement Learning and Graph Neural Networkscited by 2