A Novel Least-Entanglement-Assisted Asymmetric Quantum Codes Based on Sliding Grill

CAO Dong; SONG Yaoliang; ZHU Cheng

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Article Navigation > Chinese Journal of Electronics > 2014 > 23(3): 569-573

CAO Dong, SONG Yaoliang, ZHU Cheng, “A Novel Least-Entanglement-Assisted Asymmetric Quantum Codes Based on Sliding Grill,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 569-573, 2014,

Citation:

CAO Dong, SONG Yaoliang, ZHU Cheng, “A Novel Least-Entanglement-Assisted Asymmetric Quantum Codes Based on Sliding Grill,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 569-573, 2014,

CAO Dong, SONG Yaoliang, ZHU Cheng, “A Novel Least-Entanglement-Assisted Asymmetric Quantum Codes Based on Sliding Grill,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 569-573, 2014,

Citation:

CAO Dong, SONG Yaoliang, ZHU Cheng, “A Novel Least-Entanglement-Assisted Asymmetric Quantum Codes Based on Sliding Grill,” Chinese Journal of Electronics, vol. 23, no. 3, pp. 569-573, 2014,

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A Novel Least-Entanglement-Assisted Asymmetric Quantum Codes Based on Sliding Grill

1.
School of Electronic Engineering and Optoelectronic Technology, Nanjing University of Science and Technology, Nanjing 210094, China;
2.
College of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Funds: This work is supported by the National Natural Science Foundation of China (No.61071145, No.61271331), the Specialized Research Fund for the Doctoral Program of Higher Education (No.200802880014) and the China Postdoctoral Science Foundation (No.2013M541671).

Received Date: 2013-02-01
Rev Recd Date: 2013-07-01
Publish Date: 2014-07-05

Abstract

Abstract

We propose new methods for constructing novel entanglement-assisted asymmetric quantum codes based on combinatorial designs and sliding grill. Based on a special case of combinatorial designs, our proposed method can construct a type of parity check matrix with greater column weight and better decoding performance. Combined with the characteristic of asymmetric quantum channel, we propose new method of sliding grill. Mother matrix and submatrix can be constructed. The null space of the parity-check matrix gives entanglement-assisted asymmetric quantum code. Tanner graph of the code has a girth of at least 6. Our proposed quantum code has higher code rate with the same error correction capability. These families of entanglement-assisted asymmetric quantum codes consume only one copy of maximally entangled state (ebit), and outperformother quantumcodes based on similar construction method according to our numerical computation.
- Quantum error-correcting codes,
- Entanglement-assisted quantum codes,
- Combinatorial designs

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References(22)

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