基于腔输入-输出过程的原子Bell态分析器和GHZ态分析器

J4 ›› 2014, Vol. 31 ›› Issue (1): 69-74.

基于腔输入-输出过程的原子Bell态分析器和GHZ态分析器

李艾莉,於亚飞,张智明

华南师范大学广东省微纳光子功能材料与器件重点实验室（信息光电子科技学院）, 量子信息技术广东高校重点实验室,广州 510006

收稿日期:2013-05-08 修回日期:2013-05-21 出版日期:2014-01-28 发布日期:2013-12-31
通讯作者: 张智明（1956—），男，陕西，教授，博士，主要研究方向为量子光学与量子信息。 E-mail:zmzhang@scnu.edu.cn
作者简介:李艾莉（1986—），女，陕西人，研究生，主要研究方向为量子光学与量子信息。 Email: liaili_alice@126.com
基金资助:
国家自然科学基金重大研究计划培育项目（91121023），国家自然科学基金面上项目（60978009），国家重点基础研究发展计划（2011CBA00203；2013CB921804）, 长江学者和创新团队发展计划（IRT1243）资助课题

Atomic Bell state and GHZ state analyzers based on cavity input–output processes

LI Ai-li YU Ya-fei ZHANG Zhi-ming

Laboratory of Nanophotonic Functional Materials and Devices, SIPSE & LQIT, South China Normal University, Guangzhou 510006, China

Received:2013-05-08 Revised:2013-05-21 Published:2014-01-28 Online:2013-12-31

摘要/Abstract

摘要： 如何能够在不破坏纠缠态且能将其辨认区分出来是量子信息处理过程中一个很重要的问题，方案首先利用相干光与腔-原子系统的输入-输出过程构造受控相移门,然后利用受控相移门和零差探测技术构造宇称分析器,最后利用宇称分析器和Hadamard等操作构造非破坏性的原子Bell态分析器和原子GHZ态分析器。方案的优势在于:（1）利用到相干光源和零差探测技术,比以往方案中的单光子源和单光子探测较易实现;（2）构造的原子Bell态分析器和原子GHZ态分析器是非破坏性的。方案用到的所有方法和技术在目前的实验上都是可以实现的。

关键词: 量子光学, Bell态分析器, GHZ态分析器, 腔输入-输出过程, 受控相移门

Abstract: Non-destructive identification of entanglement is very important in quantum information processing. The scheme constructed a controlled phase shifter (CPS) gate via the cavity input–output process. The CPS gate can be used to construct a parity analyzer (PA) with homodyne detection technology. Moreover, it used the PAs, combined with some other operations, to construct the non-destructive atomic Bell states and GHZ states analyzers. The scheme has two advantages:（1）It used the coherent light and homodyne detection, which are much easier to be implemented than single photon source and single photon detection. (2)The atomic Bell states and GHZ states analyzers we realized are non-destructive. All the methods and techniques used in this scheme are achievable in the present experiment.

Key words: quantum optics, Bell states analyzer, GHZ states analyzer, cavity input–output process, controlled phase shifter

中图分类号:

O431.2

李艾莉於亚飞张智明. 基于腔输入-输出过程的原子Bell态分析器和GHZ态分析器[J]. J4, 2014, 31(1): 69-74.

LI Ai-li YU Ya-fei ZHANG Zhi-ming. Atomic Bell state and GHZ state analyzers based on cavity input–output processes[J]. J4, 2014, 31(1): 69-74.

参考文献

[1] Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A, Wootters W K et al. Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels [J]. Phys. Rev. Lett., 1993, 70:1895–1899
[2] Karlsson A, Bourennane M et al.Quantum teleportation using three-particle entanglement[J]. Phys. Rev. A, 1998, 58(6):4394–4400
[3] Bennett C H, Wiesner S J et al.Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states [J]. Phys. Rev. Lett., 1992, 69:2881-2884
[4] Grover L K et al. Quantum Mechanics Helps in Searching for a Needle in a Haystack [J]. Phys．Rev．Lett., 1997, 79(2):325-328．
[5] Raussendorf R, Briegel H J et al. A One-Way Quantum Computer [J]. Phys. Rev. Lett., 2001, 86(22) :5188-5191
[6] Bennett C H, Di Vincenzo D P, Smolin J A, Wootters W K et al. Mixed-state entanglement and quantum error correction [J]. Phys. Rev. A, 1996, 54(5):3824-3851
[7] PAN Jian-wei, Zeilinger A et al. Greenberger-Horne-Zeilinger-state analyzer [J]. Phys. Rev. A, 1998, 57(3):2208-2211
[8] Barrett S D, Kok P, Nemoto K, Beausoleil R G, Munro W J, Spiller T P et al. Symmetry analyzer for nondestructive Bell-state detection using weak nonlinearities [J]. Phys. Rev. A, 2005, 71(6):060302(4)
[9] QIAN Jun, FENG Xun-li ,GONG Shang-qing et al. Universal Greenberger-Horne-Zeilinger-state analyzer based on two-photon polarization parity detection[J]. Phys. Rev. A, 2005, 72(5):052308(3)
[10] LIN Xiu-min , CHEN Zhi-hua, LIN Gong-wei, CHEN Xiao-dong, NI Bin-Bin et al Optical Bell state and Greenberger–Horne–Zeilinger-state analyzers through the cavity input–output process [J]. Opt.Commun., 2009, 282: 3371–3374
[11] MEI Feng, YU Ya-fei, FENG Xun-li, ZHANG Zhi-ming, Oh C. H et al. Quantum entanglement distribution with hybrid parity gate[J]. Phys. Rev. A, 2010, 82(5):052315(8)
[12] MEI Feng, FENG Mang, YU Ya-fei, ZHANG Zhi-ming et al. Scalable quantum information processing with atomic ensembles and flying photons[J]. Phys. Rev. A, 2009, 80(4):042319(7)
[13] Fortier K M, Kim S Y, Gibbons M J, Ahmadi P, Chapman M S et al. Deterministic Loading of Individual Atoms to a High-Finesse Optical Cavity[J]. Phys.Rev.Lett., 2007, 98(23):233601(4)
[14] Nu?mann S, Hijlkema M, Weber B, Rohde F, Rempe G, Kuhn A et al. Submicron Positioning of Single Atoms in a Microcavity[J]. Phys. Rev. Lett., 2005, 95(17):173602 (4)
[15] Englund D, Faraon A, Fushman I, Stoltz N, Petroff P, Vu?kovi? J et al.Controlling cavity reflectivity with a single quantum dot [J]. Nature (London ),2007, 450:857-861
[16] Fushman I, Englund D, Faraon A, Stoltz N, Petroff P, Vu?kovi? J et al.Controlled Phase Shifts with a Single Quantum Dot[J]. Science, 2008 320:769-772