Sidana, T and Kashyap, N (2022) Entanglement-Assisted Quantum Error-Correcting Codes over Local Frobenius Rings. In: 2022 IEEE International Symposium on Information Theory, ISIT 2022, 26 June 2022 through 1 July 2022, Espoo, pp. 1064-1069.
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Official URL: https://doi.org/10.1109/ISIT50566.2022.9834381
Abstract
In this paper, we provide a framework for constructing entanglement-assisted quantum error-correcting codes (EAQECCs) from classical additive codes over a finite commutative local Frobenius ring. We give a formula for the minimum number of entanglement qudits required to construct an EAQECC from an additive code over a finite Galois ring. This significantly extends known results for EAQECCs over finite fields.
| Item Type: | Conference Paper |
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| Publication: | IEEE International Symposium on Information Theory - Proceedings |
| Publisher: | Institute of Electrical and Electronics Engineers Inc. |
| Additional Information: | The copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc. |
| Keywords: | Quantum entanglement; Quantum noise, Classical additives; Finite fields; Galois ring; Quantum error correcting codes, Additives |
| Department/Centre: | Division of Electrical Sciences > Electrical Communication Engineering |
| Date Deposited: | 15 Sep 2022 06:19 |
| Last Modified: | 15 Sep 2022 06:19 |
| URI: | https://eprints.iisc.ac.in/id/eprint/76473 |
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