Asymmetric quantum Griesmer codes detecting a single bit-flip error

• Main Authors: Luo, Gaojun, Ezerman, Martianus Frederic, Ling, San
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Asymmetric Quantum Code; Griesmer Bound; Griesmer Code; Punctured Code; Simplex Code
• Online Access: https://hdl.handle.net/10356/160570
• Institution: Nanyang Technological University

The quest to build large-scale quantum computing devices depends on keeping the noise level below a fault-tolerance threshold. In this paper we derive the asymmetric quantum analogue of the Griesmer bound. To benefit from the noise asymmetry in many physical systems, one can decide to only detect a...