Photonic quantum dual-containing LDPC encoders and decoders

Ivan B. Djordjevic

doi:10.1109/LPT.2009.2019262

Photonic quantum dual-containing LDPC encoders and decoders

Ivan B. Djordjevic

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We propose encoder and decoder architectures for quantum low-density parity-check (LDPC) codes suitable for all-optical implementation, based on controlled-not (CNOT) and Hadamard gates only. Given the fact that the CNOT gate can be implemented using directional couplers, and Hadamard gate by using π-hybrid, the proposed encoders/decoders architectures are suitable for implementation in integrated optics. In addition, we propose several quantum LDPC codes based on balanced incomplete block designs.

Original language	English (US)
Pages (from-to)	842-844
Number of pages	3
Journal	IEEE Photonics Technology Letters
Volume	21
Issue number	13
DOIs	https://doi.org/10.1109/LPT.2009.2019262
State	Published - Jul 1 2009

Keywords

Calderbank-Shor-Steane (CSS) codes
Integrated optics circuits
Low-density parity-check (LDPC) codes
Quantum error-correction

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Electrical and Electronic Engineering

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10.1109/LPT.2009.2019262

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abstract = "We propose encoder and decoder architectures for quantum low-density parity-check (LDPC) codes suitable for all-optical implementation, based on controlled-not (CNOT) and Hadamard gates only. Given the fact that the CNOT gate can be implemented using directional couplers, and Hadamard gate by using π-hybrid, the proposed encoders/decoders architectures are suitable for implementation in integrated optics. In addition, we propose several quantum LDPC codes based on balanced incomplete block designs.",

keywords = "Calderbank-Shor-Steane (CSS) codes, Integrated optics circuits, Low-density parity-check (LDPC) codes, Quantum error-correction",

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note = "Funding Information: Manuscript received January 12, 2009; revised March 08, 2009. First published April 03, 2009; current version published June 10, 2009. This letter was supported in part by the NSF under Grant IHCS-0725405. The author is with the Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ 85721 USA (e-mail: [email protected]). Color versions of one or more of the figures in this letter are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/LPT.2009.2019262",

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N2 - We propose encoder and decoder architectures for quantum low-density parity-check (LDPC) codes suitable for all-optical implementation, based on controlled-not (CNOT) and Hadamard gates only. Given the fact that the CNOT gate can be implemented using directional couplers, and Hadamard gate by using π-hybrid, the proposed encoders/decoders architectures are suitable for implementation in integrated optics. In addition, we propose several quantum LDPC codes based on balanced incomplete block designs.

AB - We propose encoder and decoder architectures for quantum low-density parity-check (LDPC) codes suitable for all-optical implementation, based on controlled-not (CNOT) and Hadamard gates only. Given the fact that the CNOT gate can be implemented using directional couplers, and Hadamard gate by using π-hybrid, the proposed encoders/decoders architectures are suitable for implementation in integrated optics. In addition, we propose several quantum LDPC codes based on balanced incomplete block designs.

KW - Calderbank-Shor-Steane (CSS) codes

KW - Integrated optics circuits

KW - Low-density parity-check (LDPC) codes

KW - Quantum error-correction

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Photonic quantum dual-containing LDPC encoders and decoders

Abstract

Keywords

ASJC Scopus subject areas

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