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Parity Quantum Computing as YZ-Plane Measurement-Based Quantum Computing

Quantum Physics 2025-02-17 v2

Abstract

We show that universal parity quantum computing employing a recently introduced constant depth decoding procedure is equivalent to measurement-based quantum computation (MBQC) on a bipartite graph using only YZ-plane measurements. We further show that any unitary MBQC using only YZ-plane measurements must occur on a bipartite graph.

Keywords

Cite

@article{arxiv.2401.10079,
  title  = {Parity Quantum Computing as YZ-Plane Measurement-Based Quantum Computing},
  author = {Isaac D. Smith and Hendrik Poulsen Nautrup and Hans J. Briegel},
  journal= {arXiv preprint arXiv:2401.10079},
  year   = {2025}
}

Comments

4+2 pages, 1 figure; v2: close to published version, published open access in PRL

R2 v1 2026-06-28T14:20:33.479Z