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Quantum Information Processing

On the duality between homological quantum codes of a hypermap and its dual hypermap

  • 01-02-2023
Published in:
Author
Zihan Lei
Published in
Quantum Information Processing | Issue 2/2023

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Abstract

The article delves into the intricate relationship between homological quantum codes derived from hypermaps and their dual hypermaps. It introduces the concept of dual hypermaps and defines a new kind of duality, the -dual, which simplifies the duality between hypermap codes. The paper also defines edge hypermap codes and demonstrates their equivalence to face hypermap codes under certain conditions. By exploring these connections, the article offers fresh insights into the geometric underpinnings of quantum error correction codes and their mathematical foundations.
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previous article Device-independent quantum key distribution using random quantum states
next article Measurement-device-independent three-party quantum secure direct communication
Title
On the duality between homological quantum codes of a hypermap and its dual hypermap
Author
Zihan Lei
Publication date
01-02-2023
Publisher
Springer US
Published in
Quantum Information Processing / Issue 2/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-022-03797-y
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Device-independent quantum key distribution using random quantum states

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Is entanglement a unique resource in quantum illumination?

Effective quantum channel for minimum error discrimination