|
|
Entanglement concentration for a non-maximally entangled four-photon cluster state |
Xiang Yan,Ya-Fei Yu,Zhi-Ming Zhang() |
Laboratory of Nanophotonic Functional Materials and Devices (SIPSE), Laboratory of Quantum Engineering and Quantum Materials, South China Normal University, Guangzhou 510006, China |
|
|
Abstract We present a scheme for locally concentrating a non-maximally entangled four-photon cluster state into a maximally-entangled four-photon cluster state. This scheme has a high success probability. The controlled-NOT (CNOT) gate is a crucial ingredient in this scheme, and we use a nearly deterministic CNOT gate, which is similar with that first introduced by Nemoto et al. (Phys. Rev. Lett., 2004, 93: 250502). This CNOT gate has a simple structure and does not need the strong nonlinearity.
|
Keywords
cluster state
entanglement concentration
controlled-NOT gate
|
Corresponding Author(s):
Zhi-Ming Zhang
|
Issue Date: 15 October 2014
|
|
1 |
H. Jeong and M. S. Kim, Efficient quantum computation using coherent states, Phys. Rev. A, 2002, 65(4): 042305
https://doi.org/10.1103/PhysRevA.65.042305
|
2 |
T. C. Ralph, A. Gilchrist, G. J. Milburn, W. Munro, and S. Glancy, Quantum computation with optical coherent states, Phys. Rev. A, 2003, 68(4): 042319
https://doi.org/10.1103/PhysRevA.68.042319
|
3 |
S. J. van Enk and O. Hirota, Entangled coherent states: Teleportation and decoherence, Phys. Rev. A, 2001, 64(2): 022313
https://doi.org/10.1103/PhysRevA.64.022313
|
4 |
H. Jeong, M. S. Kim, and J. Lee, Quantum-information processing for a coherent superposition state via a mixedentangled coherent channel, Phys. Rev. A, 2001, 64(5): 052308
https://doi.org/10.1103/PhysRevA.64.052308
|
5 |
D. Gottesman and J. Preskill, Secure quantum key distribution using squeezed states, Phys. Rev. A, 2001, 63(2): 022309
https://doi.org/10.1103/PhysRevA.63.022309
|
6 |
N. J. Cerf, M. Lévy, and G. Assche, Quantum distribution of Gaussian keys using squeezed states, Phys. Rev. A, 2001, 63(5): 052311
https://doi.org/10.1103/PhysRevA.63.052311
|
7 |
W. Dür, G. Vidal, and J. I. Cirac, Three qubits can be entangled in two inequivalent ways, Phys. Rev. A, 2000, 62(6): 062314
https://doi.org/10.1103/PhysRevA.62.062314
|
8 |
C. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. Smolin, and W. Wootters, Purification of noisy entanglement and faithful teleportation via noisy channels, Phys. Rev. Lett., 1996, 76(5): 722
https://doi.org/10.1103/PhysRevLett.76.722
|
9 |
Z. Zhao, J. W. Pan, and M. S. Zhan, Practical scheme for entanglement concentration, Phys. Rev. A, 2001, 64(1): 014301
https://doi.org/10.1103/PhysRevA.64.014301
|
10 |
L. Ye and G. C. Guo, Scheme for entanglement concentration of atomic entangled states in cavity QED, Phys. Lett. A, 2004, 327(4): 284
https://doi.org/10.1016/j.physleta.2004.05.035
|
11 |
C. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. Smolin, and W. Wootters, Purification of noisy entanglement and faithful teleportation via noisy channels, Phys. Rev. Lett., 1996, 76(5): 722
https://doi.org/10.1103/PhysRevLett.76.722
|
12 |
M. Yang and Z. L. Cao, Entanglement distillation for W class states, Physica A, 2004, 337(1-2): 141
https://doi.org/10.1016/j.physa.2004.02.016
|
13 |
M. Yang, W. Song, and Z. L. Cao, Entanglement distillation for atomic states via cavity QED, Physica A, 2004, 341: 251
https://doi.org/10.1016/j.physa.2004.04.108
|
14 |
J. W. Pan, C. Simon, C. Brukner, and A. Zeilinger, Entanglement purification for quantum communication, Nature, 2001, 410(6832): 1067
https://doi.org/10.1038/35074041
|
15 |
H. F.Wang, S. Zhang, and K. H. Yeon, Linear optical scheme for entanglement concentration of two partially entangled three-photon W states, Eur. Phys. J. D, 2010, 56(2): 271
https://doi.org/10.1140/epjd/e2009-00277-3
|
16 |
L. L. Sun, H. F. Wang, S. Zhang, and K. H. Yeon, Entanglement concentration of partially entangled three-photon W states with weak cross-Kerr nonlinearity, J. Opt. Soc. Am. B, 2012, 29(4): 630
https://doi.org/10.1364/JOSAB.29.000630
|
17 |
Y. B. Sheng, L. Zhou, and S. M. Zhao, Efficient two-step entanglement concentration for arbitrary W states, Phys. Rev. A, 2012, 85(4): 042302
https://doi.org/10.1103/PhysRevA.85.042302
|
18 |
C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Concentrating partial entanglement by local operations, Phys. Rev. A, 1996, 53(4): 2046
https://doi.org/10.1103/PhysRevA.53.2046
|
19 |
Z. Zhao, J. W. Pan, and M. S. Zhan, Practical scheme for entanglement concentration, Phys. Rev. A, 2001, 64(1): 014301
https://doi.org/10.1103/PhysRevA.64.014301
|
20 |
Y. B. Sheng, F. G. Deng, and H. Y. Zhou, Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics, Phys. Rev. A, 2008, 77(6): 062325
https://doi.org/10.1103/PhysRevA.77.062325
|
21 |
Z. L. Cao and M. Yang, Entanglement distillation for threeparticle W class states, J. Phys. B, 2003, 36(21): 4245
https://doi.org/10.1088/0953-4075/36/21/005
|
22 |
L. H. Zhang, M. Yang, and Z. L. Cao, Entanglement concentration for unknown Wclass states, Physica A, 2007, 374(2): 611
https://doi.org/10.1016/j.physa.2006.08.018
|
23 |
H. F. Wang, S. Zhang, and K. H. Yeon, Linear optical scheme for entanglement concentration of two partially entangled three-photon W states, Eur. Phys. J. D, 2010, 56(2): 271
https://doi.org/10.1140/epjd/e2009-00277-3
|
24 |
Y. B. Sheng, L. Zhou, and S. M. Zhao, Efficient two-step entanglement concentration for arbitrary W states, Phys. Rev. A, 2012, 85(4): 042302
https://doi.org/10.1103/PhysRevA.85.042302
|
25 |
W. Dür and H. J. Briegel, Stability of macroscopic entanglement under decoherence, Phys. Rev. Lett., 2004, 92(18): 180403
https://doi.org/10.1103/PhysRevLett.92.180403
|
26 |
B. Si, S. L. Su, L. L. Sun, L. Y. Cheng, H. F. Wang, and S. Zhang, Efficient three-step entanglement concentration for an arbitrary four-photon cluster state, Chin. Phys. B, 2013, 22(3): 030305
https://doi.org/10.1088/1674-1056/22/3/030305
|
27 |
S. Y. Zhao, J. Liu, L. Zhou, and Y. B. Sheng, Two-step entanglement concentration for arbitrary electronic cluster state, Quantum Inf. Process., 2013, 12(12): 3633
https://doi.org/10.1007/s11128-013-0623-8
|
28 |
B. S. Choudhury and A. Dhara, An entanglement concentration protocol for cluster states, Quantum Inf. Process., 2013, 12(7): 2577
https://doi.org/10.1007/s11128-013-0549-1
|
29 |
Q. Lin and J. Li, Quantum control gates with weak cross-Kerr nonlinearity, Phys. Rev. A, 2009, 79(2): 022301
https://doi.org/10.1103/PhysRevA.79.022301
|
30 |
K. Nemoto and W. J. Munro, Nearly deterministic linear optical controlled-NOT<?Pub Caret?> gate, Phys. Rev. Lett., 2004, 93(25): 250502
https://doi.org/10.1103/PhysRevLett.93.250502
|
31 |
P. Kok, W. J. Munro, K. Nemoto, T. C. Ralph, J. P. Dowling, and G. J. Milburn, Linear optical quantum computing with photonic qubits, Rev. Mod. Phys., 2007, 79(1): 135
https://doi.org/10.1103/RevModPhys.79.135
|
32 |
B. Yurke, Wideband photon counting and homodyne detection, Phys. Rev. A, 1985, 32(1): 311
https://doi.org/10.1103/PhysRevA.32.311
|
33 |
J. H. Shapiro, Single-photon Kerr nonlinearities do not help quantum computation, Phys. Rev. A, 2006, 73: 062305
https://doi.org/10.1103/PhysRevA.73.062305
|
34 |
J. H. Shapiro and M. Razavi, Continuous-time cross-phase modulation and quantum computation, New. J. Phys., 2007, 9: 16
https://doi.org/10.1088/1367-2630/9/1/016
|
35 |
W. J. Munro, Kae Nemoto, T. P. Spiller, S. D. Barrett, Pieter Kok, and R. G. Beausoleil, Efficient optical quantum information processing, J. Opt. B, 2005, 7(7): S135
https://doi.org/10.1088/1464-4266/7/7/002
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|