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The road from classical to quantum codes: a hashing bound approaching design procedure

The road from classical to quantum codes: a hashing bound approaching design procedure
The road from classical to quantum codes: a hashing bound approaching design procedure
Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a concatenated code structure, which invokes iterative decoding. Therefore, in this paper, we provide an extensive step-by-step tutorial for designing extrinsic information transfer (EXIT) chart-aided concatenated quantum codes based on the underlying quantum-to-classical isomorphism. These design lessons are then exemplified in the context of our proposed quantum irregular convolutional code (QIRCC), which constitutes the outer component of a concatenated quantum code. The proposed QIRCC can be dynamically adapted to match any given inner code using EXIT charts, hence achieving a performance close to the hashing bound. It is demonstrated that our QIRCC-based optimized design is capable of operating within 0.4 dB of the noise limit.
1-31
Babar, Zunaira
23ede793-1796-449d-b5aa-93a297e5677a
Botsinis, Panagiotis
d7927fb0-95ca-4969-9f8c-1c0455524a1f
Alanis, Dimitrios
39e04fad-7530-44f2-b7d3-1b20722a0bd2
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1
Babar, Zunaira
23ede793-1796-449d-b5aa-93a297e5677a
Botsinis, Panagiotis
d7927fb0-95ca-4969-9f8c-1c0455524a1f
Alanis, Dimitrios
39e04fad-7530-44f2-b7d3-1b20722a0bd2
Ng, Soon Xin
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, L.
66e7266f-3066-4fc0-8391-e000acce71a1

Babar, Zunaira, Botsinis, Panagiotis, Alanis, Dimitrios, Ng, Soon Xin and Hanzo, L. (2015) The road from classical to quantum codes: a hashing bound approaching design procedure. IEEE Access, 3, 1-31. (doi:10.1109/ACCESS.2015.2405533).

Record type: Article

Abstract

Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a concatenated code structure, which invokes iterative decoding. Therefore, in this paper, we provide an extensive step-by-step tutorial for designing extrinsic information transfer (EXIT) chart-aided concatenated quantum codes based on the underlying quantum-to-classical isomorphism. These design lessons are then exemplified in the context of our proposed quantum irregular convolutional code (QIRCC), which constitutes the outer component of a concatenated quantum code. The proposed QIRCC can be dynamically adapted to match any given inner code using EXIT charts, hence achieving a performance close to the hashing bound. It is demonstrated that our QIRCC-based optimized design is capable of operating within 0.4 dB of the noise limit.

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More information

Published date: March 2015
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 375002
URI: https://eprints.soton.ac.uk/id/eprint/375002
PURE UUID: c84cb536-74f3-423a-a9c0-199837d4f09d
ORCID for Zunaira Babar: ORCID iD orcid.org/0000-0002-7498-4474
ORCID for Soon Xin Ng: ORCID iD orcid.org/0000-0002-0930-7194
ORCID for L. Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 09 Mar 2015 11:24
Last modified: 06 Jun 2018 13:15

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