Simple schemes for preparation of multipartite entangled states of trapped ions

Abstract

Abstract:

Three experimentally feasible schemes are proposed for generating multipartite entangled states of cold trapped ions. In the first scheme, a GHZ state can be simply synthesized in a single step. The second scheme is to prepare fully symmetric W states with two steps . The third scheme describes the sequential generation of linear cluster states. in addition, a method to create a larger cluster state was also presented by fuzing the end qubits of two smaller cluster states, which can speed up the generation of large cluster states. The above schemes involve the collective interaction between multiple ions with the vibrational ground state and a large detuned laser. Compared with previous schemes, the above schemes have four advantages. Firstly, they do not require the vibrational mode of the ions as memory. Secondly, they do not need to address the ions individually. Thirdly, they are are free from the effects of phase fluctuation of laser field. Finally, they need less operations.

Key words: quantum optics, ion-trap, GHZ state, W state, cluster state

CLC Number:

O431.2

ZHONG Feng, YU Lizhi,XIONG Wenyuan. Simple schemes for preparation of multipartite entangled states of trapped ions[J]. J4, 2011, 28(4): 420-428.

References

[1] Zhang Y D. Principle of Quantum Information Physics [M]. Science Press. 2006. (in Chinese)
[2]Greenberger D M. et al. Bell's Theorem without inequalities [J].Am. J. Phys. 1990, 58:1131-1143.
[3] Dur W, Vidal G., Cirac J I. Three qubits can be entangled in two in-equivalent ways [J], Phys. Rev. A, 2000, 62: 062314.
[4]Zhao Z, Chen Y A, Zhang A N. Experimental Demonstration of Five-Photon Entanglement and Open-Destination Teleportation [J].Nature. 2004, 430:54-57.
[5] Chen Y A, Zhang A N, et al., .Experimental Quantum Secret Sharing and Third-Man Quantum Cryptography[J]. Phys. Rev. Lett., 2005, 95: 200502.
[6] Hao J C, Li C F and Guo G C. Controlled dense coding using the Greenberger-Horne-Zeilinger state [J]. Phys. Rev. A , 2001, 63: 054301.
[7] Jiang W X, Fang J X, et al. Controlled Teleportation of an Unknown N-qubit Entangled GHZ State [J].Commun. Theor. Phys., 2007, 47: 1045-1048.
[8] Agrawal P and Pati A. Perfect teleportation and super dense coding with W states [J]. Phys. Rev. A, 2006, 74: 062320.
[9] Zheng S B. Splitting quantum information via W states [J]. Phys. Rev. A, 2006, 74: 054303.
[10] Manfred Eibl, Nikolai Kiesel, et al, Experimental Realization of a Three-Qubit Entangled W State[J]. Phys. Rev. Lett., 2004, 92:077901.
[11]Rauschenbeutel A, Nogues G, et al. Step-by-Step Engineered Multiparticle Entanglement [J]. Science, 2000, 288:2024-2028.
[12]Leibfried D, Knill E, et al. Creation of a six-atom 'Schr?dinger cat' state [J]. Nature, 2005, 438:639 -642.
[13] Klaus M , Anders S. Multi-particle Entanglement of Hot Trapped Ions [J]. Phys. Rev. Lett., 1999, 82:1835-1838.
[14] H?aner H, H, ?ansel W, et al. Scalable multi-particle entanglement of trapped ions [J]. Nature, 2005, 438:643-646.
[15] Zheng S B. Fast scheme for the generation of entangled states of multiple hot trapped ions [J].Phys. Rev. A, 2002, 65:051804.
[16] Zheng S B. Generation of entangled states of multiple trapped ions in thermal motion [J].Phys. Rev. A., 2004, 70:045804; Zheng S B. Fast Preparation of W States for Hot Trapped Ions [J].Commun. Theor. Phys. 2005, 44: 143-145.
[17] Dicke R H. Coherence in Spontaneous Radiation Processes [J]. Phys. Rev., 1954, 93:99-110.
[18] Delgado A., Klimov A. Band Retamal J. C. et al. Macroscopic field superposition’s from collective interactions [J]. Phys. Rev. A, 1998, 58: 655-662.
[19] Meekhof D M, Monroe C, King B E, et al. Generation of Non-classical Motional States of a Trapped Atom[J] .Phys. Rev. Lett., 1996,76: 1796-1799.
[20] Benhelm J, Gerhard K, et al. Towards fault-tolerant quantum computing with trapped ions [J]. Nat. Phys., 2008, 4:463-466.

Simple schemes for preparation of multipartite entangled states of trapped ions

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	CHEN Liying , HUANG Kun , WANG Qi , YAN Shinong . Design of an integrated vibration detection module based on diamond NV color centers [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 500-509.
[2]	BAI Hailong , BAI Jinhai , HU Dong , WANG Yu . Design and implementation of a compact microwave synthesizer for atomic interference gravimeter [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 510-518.
[3]	LI Songsong. Effects of three-body and four-body interactions on spin squeezing and quantum entanglement in Bose-Einstein condensates [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 519-527.
[4]	LI Yan , . Correlation properties of Bose⁃Fermi mixture with one⁃dimensional strong interaction [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 528-540.
[5]	WANG Sheng , FANG Xiaoming , LIN Yu , ZHANG Tianbing , FENG Bao , YU Yang , WANG Le . Four-intensity decoy-state phase-matching quantum key distribution [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 541-545.
[6]	SUN Yishi , SUN Yi . Parameter prediction of classical-quantum signals co-fiber transmission system based on BP neural network [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 546-559.
[7]	QI Zhiming , LIANG Wenyao . Influence of beam polarizations on holographic fabrication of compound photonic crystals [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 447-457.
[8]	HE Yefeng , , LI Lina ∗ , BAI Qian , CHEN Sihao , QIANG Yuwei . Quantum key distribution of detector’s dead time in heralded single photon source [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 112-119.
[9]	TAN Zhijie , YANG Hairui , , YU Hong , , HAN Shensheng , ∗. Progress on X-ray diffraction imaging via intensity correlation [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 851-862.
[10]	LIN Huizu , ∗ , LIU Weitao , ∗ , SUN Shuai , , DU Longkun , , CHANG Chen , , LI Yuegang , . Progress of algorithms used in ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 863-879.
[11]	WANG Xiaoyan, WANG Zhiyuan, CHEN Ziyang, PU Jixioing ∗. Detection of orbital angular momentum of multiple vortices from speckle via deep learning [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 955-961.
[12]	LI Nengfei , SUN Yusong , , HUANG Jian , ∗. Research on cosine encoded multiplexing high spatial resolution ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 973-982.
[13]	DAI Pan, PANG Zhiguang, LI Jian, WANG Qin ∗. Nonlinear Bell inequality based on entanglement sources [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 761-767.
[14]	ZHOU Xiantao, JIANG Yinghua ∗ , GUO Chenfei, ZHAO Ning, LIU Biao. Quantum secure direct communication protocol based on mixture of GHZ particles and single photon [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 768-775.
[15]	LI Tianxiu, SHI Lei ∗ , WANG Junhui, LI Jiahao. Prediction of atmospheric attenuation coeﬃcient of quantum signal based on deep learning [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 786-794.