基于光量子行走的多体量子纠缠纯态克隆方案

doi:10.3969/j.issn.1007-5461.2025.02.006

量子电子学报 ›› 2025, Vol. 42 ›› Issue (2): 206-216.doi: 10.3969/j.issn.1007-5461.2025.02.006

基于光量子行走的多体量子纠缠纯态克隆方案

王国翠 , 林志 , 李曦坤 , 杨青 , 杨名 *

安徽大学物理与光电工程学院, 安徽合肥 230601

收稿日期:2023-05-04 修回日期:2023-05-30 出版日期:2025-03-28 发布日期:2025-03-28
通讯作者: mingyang@ahu.edu.cn E-mail:mingyang@ahu.edu.cn
作者简介:王国翠 ( 1997 - ), 四川凉山人, 女, 研究生, 主要从事量子纠缠克隆方面的研究。E-mail: b20201019@stu.ahu.edu.cn
基金资助:
国家自然科学基金项目(11947102, 12004005), 安徽省自然科学基金项目(2008085MA16, 2008085QA26), 安徽省高校协同创新项目 (GXXT-2022-039), 安徽省高校杰出青年基金项目 (2022AH020008)

Cloning scheme for multipartite entangled pure states via photonic quantum walk

WANG Guocui, LIN Zhi, LI Xikun, YANG Qing, YANG Ming *

School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China

Received:2023-05-04 Revised:2023-05-30 Published:2025-03-28 Online:2025-03-28

摘要/Abstract

摘要： 量子不可克隆定理使得高保真度的近似克隆具有重要意义。已有研究主要针对单粒子态的克隆，但不适用于克隆多粒子纠缠态。已有的少许针对多粒子量子态克隆的工作，都以消耗更多的纠缠资源为代价，且克隆态的保真度相对较低。本文基于光量子行走和纠缠交换，设计了两体纠缠态和三体纠缠态的克隆方案。结果表明，在较少的量子资源消耗的前提下，可获得两个高保真度（最高可达0.75）的克隆态。由于该克隆过程简单、量子资源消耗少且克隆态保真度高，此方案在实验上是有效可行的。此外，该克隆机无需再探测牺牲额外光子，减少了量子资源的浪费。

关键词: 量子光学, 纠缠克隆, 光量子行走, 多粒子纠缠

Abstract: Due to the no-cloning theorem, the approximate cloning of quantum state with higher fidelity has attracted a lot of attention. Most of the previous studies focused on the cloning of single-particle states, which cannot clone quantum entangled states for multipartite system. Few schemes were proposed for cloning multiparticle states, which consume more entanglement resources with loss of qubits, the fidelity of the cloned state is relatively low. In this paper, we propose cloning schemes for bipartite and tripartite entangled states based on photonic quantum walk and entanglement swapping. The results show that two high-fidelity (up to 0.75) cloned states can be obtained with less quantum resource consumption. Because of the simple cloning steps, few quantum resources and high fidelity, our schemes are efficient and feasible. In addition, no quantum system will be traced out from our cloning machines, which reduces the waste of quantum resources.

Key words: quantum optics, entanglement cloning, photonic quantum walk, multipartite entanglement

中图分类号:

O431.2

王国翠 , 林志 , 李曦坤 , 杨青 , 杨名 . 基于光量子行走的多体量子纠缠纯态克隆方案[J]. 量子电子学报, 2025, 42(2): 206-216.

WANG Guocui, LIN Zhi, LI Xikun, YANG Qing, YANG Ming . Cloning scheme for multipartite entangled pure states via photonic quantum walk[J]. Chinese Journal of Quantum Electronics, 2025, 42(2): 206-216.

参考文献

[1] Landauer R. Information is a physical entity[J]. Physica A: Statistical Mechanics and its Applications, 1999, 263(1): 63-67.
[2] Wootters W K, Zurek W H. A single quantum cannot be cloned[J]. Nature (London), 1982, 299(5886): 802-803.
[3] Barnum H, Caves C M, Fuchs C A, et al. Noncommuting mixed states cannot be broadcast[J]. Physical Review Letters, 1996, 76(15): 2818-2821.
[4] Fan H, Wang Y, Jing L, et al. Quantum cloning machines and the applications[J]. Physics Reports, 2014, 544(3): 241-322.
[5] Cummins H K, Jones C, Furze A, et al. Approximate quantum cloning with nuclear magnetic resonance[J]. Physical Review Letters, 2002, 88(18): 187901.
[6] Lamas-Linares A, Simon C, Howell J C, et al. Experimental Quantum Cloning of Single Photons[J]. Science (American Association for the Advancement of Science), 2002, 296(5568): 712-714.
[7] Iblisdir S, Acín A, Cerf N J, et al. Multipartite asymmetric quantum cloning[J]. Physical Review A, 2005, 72(4): 042328.
[8] Cerf N J. Pauli cloning of a quantum Bit[J]. Physical Review Letters, 2000, 84(19): 4497-4500.
[9] Gisin N, Massar S. Optimal Quantum Cloning Machines[J]. Physical Review Letters, 1997, 79(11): 2153-2156.
[10] Müller C R, Wittmann C, Marek P, et al. Probabilistic cloning of coherent states without a phase reference[J]. Physical Review A, 2012, 86(1): 18515-18524.
[11] Duan L M, Guo G C. Probabilistic Cloning and Identification of Linearly Independent Quantum States[J]. Physical Review Letters, 1998, 80(22): 4999-5002.
[12] Nielsen M A, Chuang I. Quantum Computation and Information[J]. American Journal of Physics, 2002, 305(4): 306-311.
[13] De Martini F, Sciarrino F, Vitelli C. Entanglement test on a microscopic-macroscopic system[J]. Physical Review Letters, 2008, 100(25): 253601.
[14] Bartkiewicz K, Lemr K, Cernoch A, et al. Experimental eavesdropping based on optimal quantum cloning[J]. Physical Review Letters, 2013, 110(17): 173601.
[15] Horodecki R, Horodecki P, Horodecki M, et al. Quantum entanglement[J]. Reviews of Modern Physics, 2009, 81(2): 865-942.
[16] Buzek V, Hillery M. Universal Optimal Cloning of Arbitrary Quantum States：From Qubits to Quantum Registers[J]. Physical Review Letters, 1998, 81(22): 5003-5006.
[17] Lamoureux L, Navez P, Fiurá?ek J, et al. Cloning the entanglement of a pair of quantum bits[J]. Physical Review A, 2004, 69(4): 823-829.
[18] Karpov E, Navez P, Cerf N J. Cloning quantum entanglement in arbitrary dimensions[J]. Physical Review A, 2005, 72(4): 042314.
[19] Gheorghiu V, Yu L, Cohen S M. Local cloning of entangled states[J]. Physical Review A, 2010, 82(2): 022313.
[20] Kar G, Rahaman R. Local cloning of multipartite entangled states[J]. Quantum Inf Process, 2012, 11(3): 711-727.
[21] Peng L C, Wu D, Zhong H S, et al. Cloning of Quantum Entanglement[J]. Physical Review Letters, 2020, 125(21): 210502.
[22] Aharonov Y, Davidovich L, Zagury N. Quantum random walks[J]. Physical Review A, 1993, 48(2): 1687-1690.
[23] Qu D, Marsh S, Wang K K, et al. Deterministic Search on Star Graphs via Quantum Walks[J]. Physical Review Letters, 2022, 128(5): 050501.
[24] Wang K K, Qiu X Z, Xiao L, et al. Simulating Dynamic Quantum Phase Transitions in Photonic Quantum Walks[J]. Physical Review Letters, 2019, 122(2): 020501.
[25] Li X M, Yang M, Paunkovi? N, et al. Entanglement swapping via three-step quantum walk-like protocol[J]. Physics Letters A, 2017, 381(46): 3875-3879.
[26] Ju L, Yang M, Xue P. A proposal for preparation of cluster states with linear optics[J]. Chinese Physics B, 2021, 30(3): 30306-30367.
[27] Matjeschk R, Schneider C, Enderlein M, et al. Experimental simulation and limitations of quantum walks with trapped ions[J]. New Journal of Physics, 2012, 14(3): 035012.
[28] Preiss P M, Ma R, Tai M E, et al. Strongly correlated quantum walks in optical lattices[J]. Science, 2015, 347(6227): 1229-1233.
[29] Broome M A, Fedrizzi A, Lanyon B P, et al. Discrete single-photon quantum walks with tunable decoherence[J]. Physical Review Letters, 2010, 104(15): 153602.
[30] Zhang L H, Yang Q, Yang M, et al. Direct measurement of the concurrence of two-photon polarization-entangled states[J]. Physical Review A, 2013, 88(6): 062342.
[31] Gühne O, Tóth G. Entanglement detection[J]. Physics Reports, 2009, 474(1): 1-75.
[32] Kim Y S, Pramanik T, Cho Y W, et al. Informationally symmetrical Bell state preparation and measurement[J]. Optics Express, 2018, 26(22): 029539.

编辑推荐 0

Metrics

阅读次数

全文

HTML			PDF

最新录用	在线预览	正式出版	最新录用	在线预览	正式出版
0	0	0	0	0	3

	来源	本网站

	次数	3
	比例	100%

摘要

最新录用	在线预览	正式出版

0	0	24

	来源	本网站

	次数	24
	比例	100%

基于光量子行走的多体量子纠缠纯态克隆方案

Cloning scheme for multipartite entangled pure states via photonic quantum walk

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 0

Metrics

本文评价

[1]	蒙雅. 光波导中的一维拓扑无硬币态量子行走[J]. 量子电子学报, 2025, 42(2): 217-228.
[2]	郑亮 , 刘超 , 周宗权 , 李传锋 , . 基于晶体光波导的长寿命光存储[J]. 量子电子学报, 2025, 42(2): 246-259.
[3]	谭心 , 贺占清 , 杨桥 , 王健 , 苍磊 , 杜岩龙 , 祁晖 , . 金刚石纳米柱增强色心荧光收集效率研究[J]. 量子电子学报, 2025, 42(2): 255-264.
[4]	王婷 , 穆青霞 . 高保真度声子-光子量子隐形传态[J]. 量子电子学报, 2025, 42(1): 100-0.
[5]	陆叶锴 , 白恩健 , 蒋学芹 , 吴贇 , 陈根龙 . 基于元胞自动机的高速保密增强算法FPGA 实现[J]. 量子电子学报, 2025, 42(1): 111-0.
[6]	郭海琳, 孙东云, 刘昊鑫, 张翠玲, 杨哲, 张存林, . 太赫兹量子通信 (特邀, 封面文章）[J]. 量子电子学报, 2025, 42(1): 1-0.
[7]	张嘉雯, 蔡彬彬, 林崧 . 基于粒子群优化算法的量子卷积神经网络[J]. 量子电子学报, 2025, 42(1): 123-0.
[8]	陆文皓 #, 吴梓涵 #, 马均瑶 , 余杨 , 赵生妹 . 免相位后选择双场量子密钥分发协议光源错误分析[J]. 量子电子学报, 2024, 41(6): 891-900.
[9]	徐小桐 , 石润华 , 柯唯阳 , 于辉. 无中心的量子匿名一票否决方案[J]. 量子电子学报, 2024, 41(6): 901-913.
[10]	夏长超 , 宋利伟 . 玻色-爱因斯坦凝聚体腔中完美光力诱导透明[J]. 量子电子学报, 2024, 41(6): 914-923.
[11]	王其兵 , 王林松 , 王雅琦 , 李力 , 许华醒 , 王少华 , . 一种基于 CMOS 的小型化量子随机数产生装置[J]. 量子电子学报, 2024, 41(6): 924-932.
[12]	沈威 , 刘尉悦. 时频域结合的量子通信时间同步方法[J]. 量子电子学报, 2024, 41(6): 933-941.
[13]	娄小平 , 范洲 , 戈启越 . 基于量子行走的量子指定验证者签名方案[J]. 量子电子学报, 2024, 41(6): 942-955.
[14]	刘文经 , 刘骏 , 曹原 , 王棚栎 , 张融 . 基于一维圆上量子行走的图片加密[J]. 量子电子学报, 2024, 41(6): 956-969.
[15]	张丹彤薛冬峰. 晶格工程电子态调控研究 (封面文章）[J]. 量子电子学报, 2024, 41(6): 839-851.