Quantum error correction architecture for qudit stabilizer codes

Nadkarni, PJ and Garani, SS (2021) Quantum error correction architecture for qudit stabilizer codes. In: Physical Review A, 103 (4).

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Abstract

Quantum communication channels benefit from nonbinary entanglement-assisted stabilizer codes using preshared entangled states for achieving better error correction capability compared to those that do not use preshared entanglement, making them indispensable for realizing large-scale quantum computing and communication systems over qudits. We provide a previously unreported design architecture of the syndrome computation unit for qudit stabilizer codes based on classical additive codes using discrete Fourier transform gates, ADD gates, and multiplication gates. The proposed syndrome computation circuit architectures are necessary toward the implementable realization of such entanglement-assisted and -unassisted qudit stabilizer codes within the quantum transceiver system. We further provide an equivalent design architecture of the syndrome computation unit that decomposes into two syndrome computation units based on X errors and Z errors separately for entanglement-assisted and -unassisted qudit CSS codes. The proposed quantum error correction architectures are useful for building high-density coded quantum memories for archival quantum storage. © 2021 American Physical Society.

Item Type:	Journal Article
Publication:	Physical Review A
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to American Physical Society
Keywords:	Discrete Fourier transforms; Error correction; Large scale systems; Memory architecture; Quantum communication; Quantum computers, Circuit architectures; Classical additives; Design architecture; Error correction capability; Quantum Computing; Quantum error corrections; Stabilizer codes; Transceiver system, Quantum entanglement
Department/Centre:	Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Date Deposited:	22 Jul 2021 11:26
Last Modified:	22 Jul 2021 11:26
URI:	http://eprints.iisc.ac.in/id/eprint/68875

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