Encoding of quantum stabilizer codes over qudits with d = p(k)

Nadkarni, Priya J and Garani, Shayan Srinivasa (2018) Encoding of quantum stabilizer codes over qudits with d = p(k). In: 2018 IEEE Globecom Workshops (GC Wkshps), 9-13 Dec. 2018, Abu Dhabi, United Arab Emirates.

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Abstract

Stabilizer codes over qudits have been widely studied but their encoding procedures have not been investigated in detail by many. The encoding procedure proposed previously by Grassi et al. generates the stabilizer codes over qudits for prime d, while it may only generate a subspace of the codespace over qudits where d is a power of a prime. In this paper, we propose an encoding procedure to generate the stabilizer codes over qudits for d being a power of a prime. The procedure involves reducing the problem of encoding over qudits with d = p(k) to a problem similar to encoding over qudits with d = p.

Item Type:	Conference Proceedings
Publisher:	IEEE
Additional Information:	Copyright for this article belongs to IEEE
Keywords:	Non-binary quantum stabilizer codes; encoding circuit; non-binary operators; quantum error correction; Clifford operations
Department/Centre:	Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited:	29 May 2019 09:42
Last Modified:	30 May 2019 08:40
URI:	http://eprints.iisc.ac.in/id/eprint/62354

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