Please use this identifier to cite or link to this item:
http://localhost/handle/Hannan/629418
Title: | Construction of Quantum LDPC Codes From Classical Row-Circulant QC-LDPCs |
Authors: | Zunaira Babar;Panagiotis Botsinis;Dimitrios Alanis;Soon Xin Ng;Lajos Hanzo |
subject: | Quantum Error Correction|Low Density Parity Check Codes|Iterative Decoding |
Year: | 2016 |
Publisher: | IEEE |
Abstract: | Classical row-circulant quasi-cyclic (QC) low-density parity check (LDPC) matrices are known to generate efficient high-rate short and moderate-length QC-LDPC codes, while the comparable random structures exhibit numerous short cycles of length-4. Therefore, we conceive a general formalism for constructing nondual-containing Calderbank-Shor-Steane (CSS)-type quantum low-density parity check (QLDPC) codes from arbitrary classical row-circulant QC-LDPC matrices. We apply our proposed formalism to the classical balanced incomplete block design (BIBD)-based row-circulant QC-LDPC codes for demonstrating that our designed codes outperform their dual-containing CSS-type counterparts as well as the entanglement-assisted (EA)-QLDPC codes. |
Description: | |
URI: | http://localhost/handle/Hannan/164033 http://localhost/handle/Hannan/629418 |
ISSN: | 1089-7798 |
volume: | 20 |
issue: | 1 |
Appears in Collections: | 2016 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
7350103.pdf | 281.31 kB | Adobe PDF | ![]() Preview File |
Title: | Construction of Quantum LDPC Codes From Classical Row-Circulant QC-LDPCs |
Authors: | Zunaira Babar;Panagiotis Botsinis;Dimitrios Alanis;Soon Xin Ng;Lajos Hanzo |
subject: | Quantum Error Correction|Low Density Parity Check Codes|Iterative Decoding |
Year: | 2016 |
Publisher: | IEEE |
Abstract: | Classical row-circulant quasi-cyclic (QC) low-density parity check (LDPC) matrices are known to generate efficient high-rate short and moderate-length QC-LDPC codes, while the comparable random structures exhibit numerous short cycles of length-4. Therefore, we conceive a general formalism for constructing nondual-containing Calderbank-Shor-Steane (CSS)-type quantum low-density parity check (QLDPC) codes from arbitrary classical row-circulant QC-LDPC matrices. We apply our proposed formalism to the classical balanced incomplete block design (BIBD)-based row-circulant QC-LDPC codes for demonstrating that our designed codes outperform their dual-containing CSS-type counterparts as well as the entanglement-assisted (EA)-QLDPC codes. |
Description: | |
URI: | http://localhost/handle/Hannan/164033 http://localhost/handle/Hannan/629418 |
ISSN: | 1089-7798 |
volume: | 20 |
issue: | 1 |
Appears in Collections: | 2016 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
7350103.pdf | 281.31 kB | Adobe PDF | ![]() Preview File |
Title: | Construction of Quantum LDPC Codes From Classical Row-Circulant QC-LDPCs |
Authors: | Zunaira Babar;Panagiotis Botsinis;Dimitrios Alanis;Soon Xin Ng;Lajos Hanzo |
subject: | Quantum Error Correction|Low Density Parity Check Codes|Iterative Decoding |
Year: | 2016 |
Publisher: | IEEE |
Abstract: | Classical row-circulant quasi-cyclic (QC) low-density parity check (LDPC) matrices are known to generate efficient high-rate short and moderate-length QC-LDPC codes, while the comparable random structures exhibit numerous short cycles of length-4. Therefore, we conceive a general formalism for constructing nondual-containing Calderbank-Shor-Steane (CSS)-type quantum low-density parity check (QLDPC) codes from arbitrary classical row-circulant QC-LDPC matrices. We apply our proposed formalism to the classical balanced incomplete block design (BIBD)-based row-circulant QC-LDPC codes for demonstrating that our designed codes outperform their dual-containing CSS-type counterparts as well as the entanglement-assisted (EA)-QLDPC codes. |
Description: | |
URI: | http://localhost/handle/Hannan/164033 http://localhost/handle/Hannan/629418 |
ISSN: | 1089-7798 |
volume: | 20 |
issue: | 1 |
Appears in Collections: | 2016 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
7350103.pdf | 281.31 kB | Adobe PDF | ![]() Preview File |