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Mitigation of decoherence-induced quantum-bit errors and quantum-gate errors using Steane's code

Mitigation of decoherence-induced quantum-bit errors and quantum-gate errors using Steane's code
Mitigation of decoherence-induced quantum-bit errors and quantum-gate errors using Steane's code
Quantum processors require Quantum Error Correction Codes (QECC's) for improving the fidelity of quantum logic gates. Fault tolerant QECC's are capable of providing error rate improvements in quantum processors as long as the components are operating below a certain gate error probability. In this contribution, we quantify the depolarization probability bound, below which transversal QECC's would give a better error probability than an uncoded gate. Both a low-complexity repetition code and Steane's 7-bit QECC are characterized.
Fault tolerance, quantum error correction codes, quantum gates, quantum stabilizer codes
2169-3536
83693-83709
Cane, Rosie
be46330d-a587-428e-b0e6-605010c4f694
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Ng, Soon
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1
Cane, Rosie
be46330d-a587-428e-b0e6-605010c4f694
Chandra, Daryus
d629163f-25d0-42fd-a912-b35cd93e8334
Ng, Soon
e19a63b0-0f12-4591-ab5f-554820d5f78c
Hanzo, Lajos
66e7266f-3066-4fc0-8391-e000acce71a1

Cane, Rosie, Chandra, Daryus, Ng, Soon and Hanzo, Lajos (2020) Mitigation of decoherence-induced quantum-bit errors and quantum-gate errors using Steane's code. IEEE Access, 8, 83693-83709, [9083978]. (doi:10.1109/ACCESS.2020.2991802).

Record type: Article

Abstract

Quantum processors require Quantum Error Correction Codes (QECC's) for improving the fidelity of quantum logic gates. Fault tolerant QECC's are capable of providing error rate improvements in quantum processors as long as the components are operating below a certain gate error probability. In this contribution, we quantify the depolarization probability bound, below which transversal QECC's would give a better error probability than an uncoded gate. Both a low-complexity repetition code and Steane's 7-bit QECC are characterized.

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Mitigation of Decoherence Induced Quantum Bit Errors and Quantum-Gate Errors Using Steanes Code 2 - Accepted Manuscript
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Accepted/In Press date: 29 April 2020
e-pub ahead of print date: 6 May 2020
Published date: 6 May 2020
Keywords: Fault tolerance, quantum error correction codes, quantum gates, quantum stabilizer codes

Identifiers

Local EPrints ID: 440572
URI: http://eprints.soton.ac.uk/id/eprint/440572
ISSN: 2169-3536
PURE UUID: 895db7b3-5bcc-43f4-890e-db6b1a095a13
ORCID for Daryus Chandra: ORCID iD orcid.org/0000-0003-2406-7229
ORCID for Soon Ng: ORCID iD orcid.org/0000-0002-0930-7194
ORCID for Lajos Hanzo: ORCID iD orcid.org/0000-0002-2636-5214

Catalogue record

Date deposited: 07 May 2020 16:37
Last modified: 18 Mar 2024 04:01

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Contributors

Author: Rosie Cane
Author: Daryus Chandra ORCID iD
Author: Soon Ng ORCID iD
Author: Lajos Hanzo ORCID iD

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