基于量子编码的两量子比特丢失纠错
PDF下载 (456)韩 超 1,2.基于量子编码的两量子比特丢失纠错[J].宁波大学学报(理工版),2018,31(1):59-61.DOI:
HAN Chao 1,2.Error correction of two-qubit loss based on quantum encoding[J].Journal of Ningbo University(Natural Science & Engineering Edition),2018,31(1):59-61.DOI:
| Title: | Error correction of two-qubit loss based on quantum encoding |
| 作者: | 韩 超 1, 2 |
| Author(s): | HAN Chao 1, 2 |
| 关键词: | 量子编码; 量子纠错; 比特丢失; 量子通信 |
| Keywords: | quantum encoding; quantum error correction; qubit loss; quantum communication |
| 分类号: | O413 |
| 文献标识码: | A |
| 摘要: | 提出一种利用6位物理比特编码为1位逻辑比特的量子编码与纠错方案. 当通信过程中出现2比特丢失时, 利用量子编码引入的冗余信息, 通过补充处于基态的量子比特, 并执行特定的逻辑操作和投影测量, 便可实现纠错. 结果表明, 以吸收系数为0.03dB·km-1的光纤为传输通道, 当通信距离大于61.25km时, 本方案通信效率优于以往方案. |
| Abstract: | A one-to-six qubit encoding and error correction scheme is presented. By inserting qubits in the ground states, performing specific logic operations and projection measurement, the state of system can be reconstructed due to the redundant information introduced by quantum encoding when two qubits are lost. Taking the optical fiber with absorption coefficient of 0.03dB·km-1 as the transmission channel, the results show that the communication efficiency of this scheme is higher than that of the previous schemes when the communication distance is more than 61.25km. |
| 参考文献 /References: | [1] Knill E, Laflamme R. Theory of quantum error-correcting codes[J]. Physical Review A, 1997, 55(2):900-911. [1] Gottesman D. Theory of fault-tolerant quantum computation[J]. Physical Review A, 1998, 57(1):127-137. [1] Cory D G, Price M D, Maas W, et al. Experimental quantum error correction[J]. Physical Review Letters, 1998, 81(10):2152-2155. [1] Chiaverini J, Leibfried D, Schaetz T, et al. Realization of quantum error correction[J]. Nature, 2004, 432(7017):602-605. [1] Pittman T B, Jacobs B C, Franson J D. Demonstration of quantum error correction using linear optics[EB/OL]. [2016-10-12]. https://journals.aps.org/pra/abstract/10.1103/PhysRevA.71.052332. [1] Aoki T, Takahashi G, Kajiya T, et al. Quantum error correction beyond qubits[J]. Nature Physics, 2009, 5(8):541-546. [1] Gingrich R M, Kok P, Lee H, et al. All linear optical quantum memory based on quantum error correction[J]. Physical Review Letters, 2003, 91(21):217901-217908. [1] Vala J, Whaley K B, Weiss D S. Quantum error correction of a qubit loss in an addressable atomic system[EB/OL]. [2016-10-12]. https://journals.aps.org/pra/abstract/10.1103/PhysRevA.72.052318. [1] Wasilewski W, Banaszek K. Protecting an optical qubit against photon loss[EB/OL]. [2016-10-12]. https://journals.aps.org/pra/abstract/10.1103/PhysRevA.75.042316. [1] Lassen M, Sabuncu M, Huck A, et al. Quantum optical coherence can survive photon losses using a continuous-variable quantum erasure-correcting code[J]. Nature Photonics, 2010, 4(10):700-705. [1] Han C. Quantum error correction of photon loss with quantum encoding[J]. Journal of the Korean Physical Society, 2013, 62(5):721-724. [1] 韩超. 基于二到六位比特编码的单量子比特丢失纠错[J]. 宁波大学学报(理工版), 2013, 26(1):110-112. [1] Calderbank A R, Shor P W. Good quantum error-correcting codes exist[J]. Physical Review A, 1996, 54(2):1098-1105. [1] Steane A. Multiple-particle interference and quantum error correction[J]. Proceedings of the Royal Society of London A: Mathematical and Physical Sciences, 1996, 452(1954):2551-2577. |
| 备注/Memo: | 收稿日期: 2017-05-15. 宁波大学学报(理工版)网址: http://journallg.nbu.edu.cn/基金项目: 浙江省教育厅科研项目(Y201326583); 宁波大学学科项目(XKZWL01).作者简介: 韩超(1979-), 男, 湖南南县人, 博士/讲师, 主要研究方向: 量子信息. E-mail: hanchao@nbu.edu.cn 宁波大学学报(理工版)网址:http://journallg.nbu.edu.cn/ |