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迹范数和Frobenius范数下的量子态可分判据 被引量:2

Separability Criteria of Quantum States under Trace Norm and Frobenius Norm
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摘要 本文分别在迹范数和Frobenius范数下,分析了利用‖Γρ‖判据和矩阵重排判据判断一类2×2系统量子态可分性时的条件表示.并在此基础上,比较了‖Γρ‖判据和矩阵重排判据之间的强弱关系,分析了迹范数和Frobenius范数对两个可分判据的影响. Based on the trace norm and Frobeniusnorm, we analyze separable expressions of a kind of 2 × 2 quantum state under the ‖Гρ‖ weak relationship between the of Frobenius norm and the trace criterion and the matrix realignment criterion. Then we compare the strong and ‖Гρ‖ criterion and the matrix realignment criterion. We also analyze the influence norm on the two criteria.
出处 《哈尔滨理工大学学报》 CAS 2013年第3期86-90,共5页 Journal of Harbin University of Science and Technology
基金 黑龙江省教育厅科学技术研究项目(12511107)
关键词 FROBENIUS范数 ‖Гρ‖判据 矩阵重排判据 trace norm Frobeniusnorm ‖Гρ‖ criterion matrix realignment criterion
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  • 1NIESEN M. A. , CHUANG I. L. Quantum Computation and Quan- tum Information [ M ]. London: Cambridge University Press, 2000.
  • 2TAO Yuanhong, ZHENG Juhua. Probabilistic Controlled Telepor- tation of Two-particle Entangled State via the Optimal Quantum State[ J]. International Journal of Theoretical Physics, 2012,10 : 30 - 35.
  • 3WERNER R F. Quantum States Einstein-Podolsk-Rosen Correla- tions Admitting a Hidden-variable Model [ J ]. Phys. Rev. A, 1989, 40(8) : 4277 -4281.
  • 4PERES M. Separability Criterion for Density Matrices [ J ]. Phys.Rev. Lett, 1996, 77(8) : 1413.
  • 5RUDOLPH O. Some Properties of the Computable Cross-norm Cri- teflon for Separability[J]. Phys. Rev. A, 2003, 67(3) : 1 -6.
  • 6CHEN K, WU L A. A Matrix Realignment Method for Recognizing Entanglement [ J ]. Quant. Inf. Comput. 2003, 3 ( 3 ) : 193 - 202.
  • 7CHEN K, WU L A. The Generalized Partial Transposition Criteri- on for Separability of Muhipartite Quantum States[ J]. Phys. Rev. A. 2002, 306(1) : 14 -20.
  • 8CHEN K, WU L A. Detection of Entanglement and Bell' s Ine- quality Violation[ J ]. arXiv : quant-ph/2003 ,20 :60 - 62.
  • 9LI Ming, FEI Shaoming, WANG Zhixi. Separability and Entan- glement of Quantum States Based on Covariance Matrices [ J ]. J. Phys. A. : Math Theor, 2008, 41 : 358 -367.
  • 10TAO Yuanhong, DING Weiwei, LI Chang' e. Criteria for Sepa- rability of Multipartite Quantum System[J]. International Journal of Theoretical Physics, 2012.

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  • 1ADAMSON D B A, STEINBERG A M. Improving Quantum State Estimation with Mutually Unbiased Bases [ J ]. Phys. Rev. Lett, 2010, 105: 030406.
  • 2FERNANDEZ-PEREZ A, KLIMOV A B, SAAVEDRA, Quantum Process Reconstruction Based on Mutually Unbiased Basis [ J]. Phys. Rev. A, 2011, 83 : 052332.
  • 3SCHWINGER J. Unitary Operator Bases [ J ]. Proc. Nat. Acad. Sci. ,U. S. A. ,1960,46(4) :570 -579.
  • 4REHACEK J, ENGLERT B G, KASZLIKOWSKI D. Minimal Qu-bit Tomography[J]. Phys. Bey. A, 2004, 70:052321 -052333.
  • 5WOOTYERS W K, FIELDS B D. Optimal State-determination by Mutually Unbiased Measurements[ J]. Ann. Phys. (NY), 1989, 191(2) : 363 -381.
  • 6BRIEBLEY S, WEIGEBT S, BENGTSSON I. All Mutually Unbi- ased Bases in Dimension Two to Five [ J ]. Quantum InfornL Com- put, 2010, 10(10) : 803-820.
  • 7MCNULTY D, WEIGERT S. The Limited Role of Mutually Unbi- ased Product Bases in Dimension 6 [ J ]. J. Phys. A : Math. The- or, 2012, 45(10) : 102001.
  • 8WIESNIAK M, PATEREK T, ZEILINGER A. Entanglement in Mutually Unbiased Bases[J]. New J. Phys. , 2011, 13: 053047.
  • 9ISHIZAKA S, HIROSHIMA T. Quantum Teleportation Scheme by Selecting One of Multiple Output Ports [ J ]. Phys. Rev. A. , 2009, 79(4) : 042306.
  • 10BENNETP C H, WIESNER S J. Communication via One-and Two-particle Operators on Einstein-Podolsky-Rosen States [ J ] . Phys. Rev. Lett., 1992, 69(20) : 2881 -2884.

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