Encoding classical information in gauge subsystems of quantum codes

DOI10.1142/S0219749921500416zbMath1495.81030arXiv2012.05896MaRDI QIDQ5074437

Andrew Nemec, Andreas Klappenecker

Publication date: 9 May 2022

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.05896

zbMATH Keywords

quantum codeshybrid codessubsystem codes

Mathematics Subject Classification ID

Quantum computation (81P68) Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) (68P30) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Other nonclassical models of computation (68Q09)

Uses Software

• Code Tables

Cites Work

• The capacity of a quantum channel for simultaneous transmission of classical and quantum information
• CONSTRUCTIONS OF SUBSYSTEM CODES OVER FINITE FIELDS
• Nonbinary Stabilizer Codes Over Finite Fields
• Unitary Error Bases: Constructions, Equivalence, and Applications
• Beyond stabilizer codes .I. Nice error bases
• The capacity of hybrid quantum memory
• Quantum error correction via codes over GF(4)
• Infinite Families of Quantum-Classical Hybrid Codes
• Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes
• Entanglement-Assisted Communication of Classical and Quantum Information
• Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
• On subsystem codes beating the quantum Hamming or Singleton bound

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