记忆幅值阻尼噪声下带有弱测量与恢复测量的量子隐形传态

doi:10.3969/j.issn.1007-5461.2024.01.014

量子电子学报 ›› 2024, Vol. 41 ›› Issue (1): 143-150.doi: 10.3969/j.issn.1007-5461.2024.01.014

记忆幅值阻尼噪声下带有弱测量与恢复测量的量子隐形传态

向生建 1*, 陈云松 2

( 1 四川师范大学数学科学学院, 四川成都 610066; 2 四川省信创中心, 四川成都 610000 )

收稿日期:2022-06-29 修回日期:2022-07-28 出版日期:2024-01-28 发布日期:2024-01-28
通讯作者: E-mail: xsj.newmail@163.com E-mail:E-mail: xsj.newmail@163.com
作者简介:向生建 ( 1964 - ), 四川彭州人, 博士, 教授, 主要从事量子信息、信创科技方面的研究。E-mail: xsj.newmail@163.com
基金资助:
四川省重点研发计划 (2020YFG0290), 成都市量子科技计划 (2021-YF09-00116-GX)

Quantum teleportation with weak and recover measurement in memory amplitude damping noise channel

XIANG Shengjian 1*, CHEN Yunsong 2

( 1 School of Mathematical Science, Sichuan Normal University, Chengdu 610066, China; 2 Sichuan Xinchuang Center, Chengdu 610000, China )

Received:2022-06-29 Revised:2022-07-28 Published:2024-01-28 Online:2024-01-28

摘要/Abstract

摘要： 认识并降低噪声对传输粒子保真度的影响, 是量子隐形传态重要的研究方向之一。不同于以前的独立噪声和带记忆的Pauli 噪声, 研究了记忆幅值阻尼噪声对保真度的影响, 并给出了一个抵抗该噪声信道的方案。该方案通过让参与者在粒子分发前实施弱测量而粒子接收后实施恢复测量的方式提高保真度。研究结果表明, 记忆幅值阻尼信道的记忆因子强度与保真度大小呈正相关, 并且在部分记忆信道与全记忆信道下弱测量与恢复测量方法也能一定程度上提高传输粒子的保真度。

关键词: 量子光学, 保真度分析及增强, 弱测量与恢复测量, 量子隐形传态, 记忆幅值阻尼噪声

Abstract: Understanding and reducing the influence of noise on the fidelity of transmitted particles is one of the important research directions in quantum teleportation. Different from the previously reported independent noise and the memory Pauli noise, the effect of memory amplitude damping noise on fidelity is investigated, and a method to resist this influence is proposed. According to this method, the fidelity can be improved by implementing the extra weak measurement and recover measurement before and after distributing particles respectively. The results show that, the memory factor strength of the memory amplitude damped channel is positively correlated with the fidelity. Moreover, the weak measurement and recovery measurement methods can also improve the fidelity of the transmitted particles to a certain extent in partial or full memory channels.

Key words: quantum optics, analysis and improvement of fidelity, weak measurement and recover measurement, quantum teleportation, amplitude damping noise with memory

中图分类号:

TN911.1

向生建 , 陈云松 . 记忆幅值阻尼噪声下带有弱测量与恢复测量的量子隐形传态[J]. 量子电子学报, 2024, 41(1): 143-150.

XIANG Shengjian , CHEN Yunsong . Quantum teleportation with weak and recover measurement in memory amplitude damping noise channel[J]. Chinese Journal of Quantum Electronics, 2024, 41(1): 143-150.

参考文献

[1]ZHANG Z-J.Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message[J].Physics Letters A, 2006, 352(1):55-8 [2]LIU J-C, LI Y-H, NIE Y-Y.Controlled Teleportation of an Arbitrary Two-Particle Pure or Mixed State by Using a Five-Qubit Cluster State[J].International Journal of Theoretical Physics, 2010, 49(8):1976-84 [3]MAN Z-X, XIA Y-J, AN N B.Genuine multiqubit entanglement and controlled teleportation[J].Physical Review A, 2007, 75(5):052306-052312 [4]ZHU FU-CHEN D J-Z, CHEN XIU-BO, WEN QIAO-YAN.Probabilistic teleportation of multi-particle partially entangled state[J].Chin Phys B, 2008, 17(3):771-7 [5]YAN F, YAN T.Probabilistic teleportation via a non-maximally entangled GHZ state[J].Chinese Science Bulletin, 2010, 55(10):902-6 [6]ZHA X-W, ZOU Z-C, QI J-X, et al.Bidirectional Quantum Controlled Teleportation via Five-Qubit Cluster State[J].International Journal of Theoretical Physics, 2013, 52(6):1740-4 [7]PENG J-Y, BAI M-Q, MO Z-W.Bidirectional Quantum States Sharing[J].International Journal of Theoretical Physics, 2016, 55(5):2481-9 [8]HASSANPOUR S, HOUSHMAND M.Bidirectional teleportation of a pure EPR state by using GHZ states[J].Quantum Information Processing, 2016, 15(2):905-12 [9]GUANG YANG B-W L, MIN NIE, JIAO JIN.Bidirectional multi-qubit quantum teleportation in noisy channel aided with weak measurement[J].Chin Phys B, 2017, 26(4):40305-040305 [10]CHEN Y-X, DU J, LIU S-Y, et al.Cyclic quantum teleportation[J].Quantum Information Processing, 2017, 16(8):201-209 [11]PENG J-Y, BAI M-Q, MO Z-W.Deterministic Multi-hop Controlled Teleportation of Arbitrary Single-Qubit State[J].International Journal of Theoretical Physics, 2017, 56(10):3348-58 [12]HAI-TAO ZHAN X-T Y, PEI-YING XIONG, ZAI-CHEN ZHANG.Multi-hop teleportation based on W state and EPR pairs[J].Chin Phys B, 2016, 25(5):50305-050305 [13]OH S, LEE S, LEE H-W.Fidelity of quantum teleportation through noisy channels[J].Physical Review A, 2002, 66(2):022316-022322 [14]DONG L, WANG J-X, SHEN H-Z, et al.Deterministic transmission of an arbitrary single-photon polarization state through bit-flip error channel[J].Quantum Information Processing, 2014, 13(6):1413-24 [15]TERHAL B M.Quantum error correction for quantum memories[J].Reviews of Modern Physics, 2015, 87(2):307-46 [16]SHOR P W.Scheme for reducing decoherence in quantum computer memory[J].Physical Review A, 1995, 52(4):R2493-R6 [17]DONG L, WANG J-X, LI Q-Y, et al.Single logical qubit information encoding scheme with the minimal optical decoherence-free subsystem[J].Optics Letters, 2016, 41(5):1030-3 [18]XU G F, ZHANG J, TONG D M, et al.Nonadiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces[J].Physical Review Letters, 2012, 109(17):170501-170506 [19]LI C-K, NAKAHARA M, POON Y-T, et al.Recursive encoding and decoding of the noiseless subsystem and decoherence-free subspace[J].Physical Review A, 2011, 84(4):044301-044306 [20]XIU X-M, LI Q-Y, LIN Y-F, et al.Preparation of four-photon polarization-entangled decoherence-free states employing weak cross-Kerr nonlinearities[J].Physical Review A, 2016, 94(4):042321-042328 [21]PAN J-W, SIMON C, BRUKNER ?, et al.Entanglement purification for quantum communication[J].Nature, 2001, 410(6832):1067-70 [22]REN B-C, DU F-F, DENG F-G.Two-step hyperentanglement purification with the quantum-state-joining method[J].Physical Review A, 2014, 90(5):052309-052315 [23]LEE J-C, JEONG Y-C, KIM Y-S, et al.Experimental demonstration of decoherence suppression via quantum measurement reversal[J].Optics Express, 2011, 19(17):16309-16 [24]KIM Y-S, LEE J-C, KWON O, et al.Protecting entanglement from decoherence using weak measurement and quantum measurement reversal[J].Nature Physics, 2012, 8(2):117-20 [25]KIM Y-S, CHO Y-W, RA Y-S, et al.Reversing the weak quantum measurement for a photonic qubit[J].Optics Express, 2009, 17(14):11978-85 [26]KOROTKOV A N, JORDAN A N.Undoing a Weak Quantum Measurement of a Solid-State Qubit[J].Physical Review Letters, 2006, 97(16):166805-166811 [27]KATZ N, NEELEY M, ANSMANN M, et al.Reversal of the Weak Measurement of a Quantum State in a Superconducting Phase Qubit[J].Physical Review Letters, 2008, 101(20):200401-200406 [28]QIU L, TANG G, YANG X, et al.Enhancing teleportation fidelity by means of weak measurements or reversal [J]. Annals of Physics, 2014, 350: 137-45.[J].Annals of Physics, 2014, 350(5):137-145 [29]PENG J-Y, TANG L, YANG Z, et al.Cyclic teleportation in noisy channel with nondemolition parity analysis and weak measurement[J].Quantum Information Processing, 2022, 21(3):114-118 [30]MACCHIAVELLO C, PALMA G M.Entanglement-enhanced information transmission over a quantum channel with correlated noise[J].Physical Review A, 2002, 65(5):050301-050308 [31]KARPOV E, DAEMS D, CERF N J.Entanglement-enhanced classical capacity of quantum communication channels with memory in arbitrary dimensions[J].Physical Review A, 2006, 74(3):032320-032326 [32]武天雄, 李云霞, 蒙文.基于部分记忆信道的量子隐形传态保真度增强方法研究[J].激光与光电子学进展, 2021, 58(5):0527001-0527006 [33]JIANG S, ZHAO B, LIANG X.Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory[J].Chinese Physics B, 2021, 30(6):060303-060308 [34]ZHANG Z, SUN M.Enhanced deterministic joint remote state preparation under Pauli channels with memory[J].Physica Scripta, 2020, 95(5):055107-055116 [35]WANG M-J, XIA Y-J, YANG Y, et al.Protecting the entanglement of two-qubit over quantum channels with memory via weak measurement and quantum measurement reversal[J].Chinese Physics B, 2020, 29(11):110307-110315 [36]PRESKILL J.California Institute of Technology [J]. Pasadena, CA, 1998, 91125.[J].California Institute of Technology [J], 1998, 125.(5):28-36 [37]JOZSA R.Fidelity for Mixed Quantum States[J].Journal of Modern Optics, 1994, 41(12):2315-23 [38]UHLMANN A.The “transition probability” in the state space of a ?-algebra[J].Reports on Mathematical Physics, 1976, 9(2):273-9

记忆幅值阻尼噪声下带有弱测量与恢复测量的量子隐形传态

Quantum teleportation with weak and recover measurement in memory amplitude damping noise channel

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	格日乐 , 萨楚尔夫 , 格根图雅 , 宫艳丽 . 玻色-爱因斯坦凝聚与光场作用的保真度[J]. 量子电子学报, 2024, 41(1): 95-102.
[2]	冯微军 , 郭躬德 , 林崧 . 基于参数化角编码的量子K-means算法[J]. 量子电子学报, 2024, 41(1): 113-124.
[3]	王升斌, 窦猛汉, 吴玉椿, 郭国平, 郭光灿 . 分布式量子计算研究进展[J]. 量子电子学报, 2024, 41(1): 1-25.
[4]	陈斌 #, 陈天豪 #, 张融 . 量子行走到经典行走的连续调控[J]. 量子电子学报, 2023, 40(6): 917-923.
[5]	曾妙娜, 杨名, . 基于量子行走的确定性远程光子态交换[J]. 量子电子学报, 2023, 40(6): 924-932.
[6]	朱孟正 , 苏梦远 , 公丕锋 , 张金锋 . 空间纠缠协助下对低纠缠 GHZ 态的确定性纠缠纯化[J]. 量子电子学报, 2023, 40(6): 943-951.
[7]	张宝林, 马子晓, 黄垚, 管桦, 高克林 . 锁定参数与光钟稳定度关系的研究[J]. 量子电子学报, 2023, 40(5): 694-699.
[8]	车浩, 李安, 覃方君, 黄春福. 冷原子干涉动态重力测量中的噪声与系统效应分析[J]. 量子电子学报, 2023, 40(5): 700-711.
[9]	陈骊颖, 黄堃, 王琪, 闫仕农 . 基于金刚石NV色心集成振动检测模块的设计[J]. 量子电子学报, 2023, 40(4): 500-509.
[10]	摆海龙, 白金海, 胡栋, 王宇. 用于原子干涉重力仪的小型频率合成器设计与实现[J]. 量子电子学报, 2023, 40(4): 510-518.
[11]	李嵩松. 玻色-爱因斯坦凝聚体中三体和四体相互作用对自旋压缩和量子纠缠的影响研究[J]. 量子电子学报, 2023, 40(4): 519-527.
[12]	李艳, . 一维强相互作用的玻色-费米混合气体关联特性研究[J]. 量子电子学报, 2023, 40(4): 528-540.
[13]	王晟, 方晓明, 林昱, 张天兵, 冯宝, 余杨, 王乐 . 四强度诱骗态相位匹配量子密钥分发协议[J]. 量子电子学报, 2023, 40(4): 541-545.
[14]	孙一石, 孙弋 . 基于BP 神经网络的经典-量子信号共纤同传系统参数预测[J]. 量子电子学报, 2023, 40(4): 546-559.
[15]	戚志明, 梁文耀 . 光束偏振对全息干涉制作复式光子晶体的影响研究[J]. 量子电子学报, 2023, 40(4): 447-457.