Determining Separability with Entanglement of Formation and Entanglement Sudden Death
CHEN Xiao-Yu**
College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018
Abstract :An algorithm is developed to calculate the entanglement of formation for bipartite quantum states to determine numerically the sufficient condition of separability. The algorithm is applied to two 3×3 positive partial transpose states mixed with white noise. For these two noisy states, our numerical sufficient conditions of separability are not far from the best necessary conditions of separability.
出版日期: 2014-12-23
:
03.67.Mn
(Entanglement measures, witnesses, and other characterizations)
03.65.Ud
(Entanglement and quantum nonlocality)
03.67.Ac
(Quantum algorithms, protocols, and simulations)
[1] Peres A 1996 Phys. Rev. Lett. 77 1413 [2] Horodecki M, Horodecki P and Horodecki R 1996 Phys. Lett. A 223 1 [3] Rodolph O 2004 Lett. Math. Phys. 70 57 [4] Chen K and Wu L A 2003 Quantum Inf. Comput. 3 193 [5] Gühne O 2004 Phys. Rev. Lett. 92 117903 [6] Li M, Wang J, Fei S M and Li-Jost X 2014 Phys. Rev. A 89 022325 [7] Bennett C H, DiVincenzo D P, Smolin J A and Wootters W K 1996 Phys. Rev. A 54 3824 [8] Vedral V, Plenio M B, Rippin M A and Knight P L 1997 Phys. Rev. Lett. 78 2275 [9] Wootters W K 1998 Phys. Rev. Lett. 80 2245 [10] Giedke G, Wolf M M, Krüger O, Werner R F and Cirac J I 2003 Phys. Rev. Lett. 91 107901 [11] Marian P and Marian T A 2008 Phys. Rev. Lett. 101 220403 [12] Yu T and Eberly J H 2009 Science 323 598 [13] Wu H Z and Yang Z B 2014 Chin. Phys. Lett. 31 024206 [14] Wu H Z and Yang Z B 2013 Chin. Phys. Lett. 30 124203 [15] Bennett C H, DiVincenzo D P, Mor T, Shor P W, Smolin J A and Terha B M 1999 Phys. Rev. Lett. 82 5385
[1]
. [J]. 中国物理快报, 2022, 39(3): 30302-030302.
[2]
. [J]. 中国物理快报, 2020, 37(9): 90302-.
[3]
. [J]. 中国物理快报, 2019, 36(10): 100301-.
[4]
. [J]. 中国物理快报, 2019, 36(9): 90301-.
[5]
. [J]. 中国物理快报, 2019, 36(8): 80304-.
[6]
. [J]. 中国物理快报, 2019, 36(6): 60301-.
[7]
. [J]. 中国物理快报, 2019, 36(5): 50303-.
[8]
. [J]. 中国物理快报, 2018, 35(10): 100301-.
[9]
. [J]. 中国物理快报, 2017, 34(4): 40302-040302.
[10]
. [J]. 中国物理快报, 2016, 33(12): 120302-120302.
[11]
. [J]. 中国物理快报, 2016, 33(09): 90303-090303.
[12]
. [J]. 中国物理快报, 2016, 33(07): 70302-070302.
[13]
. [J]. 中国物理快报, 2016, 33(07): 70303-070303.
[14]
. [J]. 中国物理快报, 2016, 33(07): 70307-070307.
[15]
. [J]. 中国物理快报, 2016, 33(05): 50301-050301.