Entanglement fidelity of channel adaptive quantum codes

doi:10.1088/1674-1056/22/1/010308

Abstract We study the performances of quantum channel adaptive [4,1] code transmitting in a joint amplitude damping and dephasing channel, the [6,2] code transmitting in an amplitude damping channel by combining the encoding, noise process, and decoding as one effective channel. We explicitly obtain the entanglement fidelities. The recovery operators of the [6,2] code are given. The performance is nearly optimal comparing with that of the optimal method of semidefinite programming.

Keywords: adaptive quantum code amplitude damping channel fidelity

Received: 16 March 2012
Revised: 22 June 2012
Accepted manuscript online:

PACS:

03.67.Pp

(Quantum error correction and other methods for protection against decoherence)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60972071), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. Y6100421 and LQ12F02012), and the Zhejiang Province Science and Technology Project, China (Grant No. 2009C31060).

Corresponding Authors: Chen Xiao-Yu
E-mail: xychen@zjgsu.edu.cn

Cite this article:

Zhan Yun (詹云), Chen Xiao-Yu (陈小余) Entanglement fidelity of channel adaptive quantum codes 2013 Chin. Phys. B 22 010308

[1]	Shor P W 1995 Phys. Rev. A 52 R2493
[2]	Steane A M 1996 Phys. Rev. Lett. 77 793
[3]	Ioffe L and Mezard M 2007 Phys. Rev. A 75 032345
[4]	Stephens A M, Evans Z W E, Devitt S J and Hollenberg L C L 2008 Phys. Rev. A 77 062335
[5]	Cafaro C and Mancini S 2010 Phys. Rev. A 82 012306
[6]	Röthlisberger B, Wootton J W, Heath R M, Pachos J K and Loss D 2012 Phys. Rev. A 85 022313
[7]	Fujii K and Tokunaga Y 2012 arXiv:1202.2743v1 [quant-ph]
[8]	Zhang Z R, Liu W T and Li C Z 2011 Chin. Phys. B 20 050309
[9]	Wang Y J, Bai B M, Li Z, Peng J Y and Xiao H L 2012 Chin. Phys. B 21 020304
[10]	Leung D W, Nielsen M A, Chuang I L and Yamamoto Y 1997 Phys. Rev. A 56 2567
[11]	Sarvepalli P K, Rotteler M and Klappenecker A 2008 Proceeding of the 2008 IEEE Intl. Symp. Inform. Theory, Torento, Canada, July 6-11, 2008 p. 5760
[12]	Sarvepalli P K, Klappenecker A and Rotteler M 2009 Proc. Roy. Soc. A 465 1645
[13]	Fletcher A S, Shor P W and Win M Z 2008 IEEE Trans. Inform. Theory 54 5705
[14]	Rahn B, Doherty A C and Mabuchi H 2002 Phys. Rev. A 66 032304
[15]	Shor P W, Smith G, Smolin J A and Zeng B 2011 IEEE Trans. Inform. Theory 57 7180
[16]	Gottesman D 1997 Stabilizer Codes and Quantum Error Correction (Ph. D. Thesis) (Pasadena: CalTech)
[17]	Nielsen M A and Chuang I L 2000 Quantun Computation and Quantum Information (Cambridge: Cambridge University Press)
[18]	Fletcher A S, Shor P W and Win M Z 2007 Phys. Rev. A 75 012338

[1]	Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain Xi-Xi Bao(包茜茜), Gang-Feng Guo(郭刚峰), and Lei Tan(谭磊). Chin. Phys. B, 2023, 32(2): 020301.
[2]	Universal order-parameter and quantum phase transition for two-dimensional q-state quantum Potts model Yan-Wei Dai(代艳伟), Sheng-Hao Li(李生好), and Xi-Hao Chen(陈西浩). Chin. Phys. B, 2022, 31(7): 070502.
[3]	Experimental realization of quantum controlled teleportation of arbitrary two-qubit state via a five-qubit entangled state Xiao-Fang Liu(刘晓芳), Dong-Fen Li(李冬芬), Yun-Dan Zheng(郑云丹), Xiao-Long Yang(杨小龙), Jie Zhou(周杰), Yu-Qiao Tan(谭玉乔), and Ming-Zhe Liu(刘明哲). Chin. Phys. B, 2022, 31(5): 050301.
[4]	Alternative non-Gaussianity measures for quantum states based on quantum fidelity Cheng Xiang(向成), Shan-Shan Li(李珊珊), Sha-Sha Wen(文莎莎), and Shao-Hua Xiang(向少华). Chin. Phys. B, 2022, 31(3): 030306.
[5]	Passively stabilized single-photon interferometer Hai-Long Liu(刘海龙), Min-Jie Wang(王敏杰), Jia-Xin Bao(暴佳鑫), Chao Liu(刘超), Ya Li(李雅), Shu-Jing Li(李淑静), and Hai Wang(王海). Chin. Phys. B, 2022, 31(11): 110306.
[6]	Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory Shexiang Jiang(蒋社想), Bao Zhao(赵宝), and Xingzhu Liang(梁兴柱). Chin. Phys. B, 2021, 30(6): 060303.
[7]	Realization of adiabatic and diabatic CZ gates in superconducting qubits coupled with a tunable coupler Huikai Xu(徐晖凯), Weiyang Liu(刘伟洋), Zhiyuan Li(李志远), Jiaxiu Han(韩佳秀), Jingning Zhang(张静宁), Kehuan Linghu(令狐克寰), Yongchao Li(李永超), Mo Chen(陈墨), Zhen Yang(杨真), Junhua Wang(王骏华), Teng Ma(马腾), Guangming Xue(薛光明), Yirong Jin(金贻荣), and Haifeng Yu(于海峰). Chin. Phys. B, 2021, 30(4): 044212.
[8]	Average fidelity estimation of twirled noisy quantum channel using unitary 2t-design Linxi Zhang(张林曦), Changhua Zhu(朱畅华), Changxing Pei(裴昌幸). Chin. Phys. B, 2019, 28(1): 010304.
[9]	Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel Fugang Zhang(张福刚), Yongming Li(李永明). Chin. Phys. B, 2018, 27(9): 090301.
[10]	Estimation of photon counting statistics with imperfect detectors Xiao-Chuan Han(韩晓川), Dong-Wei Zhuang(庄东炜), Yu-Xuan Li(李雨轩), Jun-Feng Song(宋俊峰), Yong-Sheng Zhang(张永生). Chin. Phys. B, 2018, 27(7): 074208.
[11]	Identifying the closeness of eigenstates in quantum many-body systems Hai-bin Li(李海彬), Yang Yang(杨扬), Pei Wang(王沛), Xiao-guang Wang(王晓光). Chin. Phys. B, 2017, 26(8): 080502.
[12]	An intermediate state of T7 RNA polymerase provides another pathway of nucleotide selection Zhan-Feng Wang(王展峰), Yu-Ru Liu(刘玉如), Peng-Ye Wang(王鹏业), Ping Xie(谢平). Chin. Phys. B, 2017, 26(10): 100203.
[13]	Fidelity between Gaussian mixed states with quantum state quadrature variances Hai-Long Zhang(张海龙), Chun Zhou(周淳), Jian-Hong Shi(史建红), Wan-Su Bao(鲍皖苏). Chin. Phys. B, 2016, 25(4): 040304.
[14]	Computational investigations on polymerase actions in gene transcription and replication: Combining physical modeling and atomistic simulations Jin Yu(喻进). Chin. Phys. B, 2016, 25(1): 018706.
[15]	Time evolution of a squeezed chaotic field in an amplitude damping channel when used as a generating field for a squeezed number state Xu Xing-Lei (徐兴磊), Li Hong-Qi (李洪奇), Fan Hong-Yi (范洪义). Chin. Phys. B, 2015, 24(7): 070306.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Entanglement fidelity of channel adaptive quantum codes

Cite this article:

Online attention