Boundaries for the Honeycomb Code-Reference-Cited by-同舟云学术

Boundaries for the Honeycomb Code

Published:2022-04-21 Issue: Volume:6 Page:693
ISSN:2521-327X
Container-title:Quantum
language:en
Short-container-title:Quantum

Author:

Haah Jeongwan¹,Hastings Matthew B.¹²

Affiliation:

1. Microsoft Quantum and Microsoft Research, Redmond, WA 98052, USA

2. Station Q, Microsoft Quantum, Santa Barbara, CA 93106-6105, USA

Abstract

We introduce a simple construction of boundary conditions for the honeycomb code \cite{honeycomb} that uses only pairwise checks and allows parallelogram geometries at the cost of modifying the bulk measurement sequence. We discuss small instances of the code.

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics

Link

https://quantum-journal.org/papers/q-2022-04-21-693/pdf/

Reference14 articles.

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2. A. Kitaev, ``Anyons in an exactly solved model and beyond,'' Annals of Physics 321, 2–111 (2006), cond-mat/0506438.

3. J. R. Wootton, ``A family of stabilizer codes for $D({\mathbb Z}_2)$ anyons and Majorana modes,'' J. Phys. A: Math. Theor. 48, 215302 (2015), arXiv:1501.07779.

4. R. Chao, M. E. Beverland, N. Delfosse, and J. Haah, ``Optimization of the surface code design for majorana-based qubits,'' Quantum 4, 352 (2020), 2007.00307.

5. C. Gidney, M. Newman, A. Fowler, and M. Broughton, ``A fault-tolerant honeycomb memory,'' arXiv:2108.10457.

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