Sequentially Encodable Codeword Stabilized Codes

Sudevan, S and Das, S and Aswanth, T and Kashyap, N (2024) Sequentially Encodable Codeword Stabilized Codes. In: 2024 IEEE International Symposium on Information Theory Workshops, ISIT-W 2024, 7 July 2024, Athens, Greece..

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Abstract

n-qubit, m-uniform states are n, 0, m + 1]] nondegenerate quantum error correcting codes (QECC). The codeword stabilized (CWS) codes use n, k, d � m + 1 classical codes and m-uniform graph states to construct n, k, m + 1]] QECCs. We provide a set of conditions on the classical codes to obtain CWS codes, which can be encoded in a proposed measurement-based approach. We arrive at an explicit construction of a CWS code when the starting m-uniform graph state is a cluster state of qubits on a one-dimensional lattice. The proposed encoding protocol admits sequential encoding of logical qubits, making it suitable for quantum memory applications. © 2024 IEEE.

Item Type:	Conference Paper
Publication:	2024 IEEE International Symposium on Information Theory Workshops, ISIT-W 2024
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to the publishers.
Keywords:	Encoding (symbols); Quantum theory; Signal encoding, Code-words; Condition; Encodings; Explicit constructions; Graph state; Measurement-based approach; N qubits; Nondegenerate; Quantum error correcting codes; Uniform graphs, Qubits
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	29 Aug 2024 06:12
Last Modified:	29 Aug 2024 06:12
URI:	http://eprints.iisc.ac.in/id/eprint/86029

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