Abstract.
We propose a simple geometrical approach for finding robustness of entanglement for Bell decomposable states of two-qubit quantum systems. It is shown that for these states robustness is equal to the concurrence. We also present an analytical expression for two separable states that wipe out all entanglement of these states. Random robustness of these states is also obtained. We also obtain robustness of a class of states obtained from Bell decomposable states via some special local operations and classical communications (LOCC).
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References
A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935)
E. Schrödinger, Naturwissenschaften. 23, 807 (1935)
C.H. Bennett, S.J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992)
C.H. Bennett, G. Brassard, C. Crépeau, R. jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993)
C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, W.K. Wootters, Phys. Rev. A 54, 3824 (1996)
V. Vedral, M.B. Plenio, M.A. Rippin, P.L. Knight, Phys. Rev. Lett. 78, 2275 (1995)
V. Vedral, M.B. Plenio, Phys. Rev. A 57, 1619 (1998)
W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)
G. Vidal, R. Tarrach, Phys. Rev. A 59, 141 (1999)
J.F. Du, M.J. Shi, X.Y. Zhou, R.D. Han, Phys. Lett. A 267, 244 (2000)
R. Horodecki, M. Horodecki, Phys. Rev. A 54, 1838 (1996)
A. Peres, Phys. Rev. Lett. 77, 1413 (1996)
M. Horodecki, P. Horodecki, R. Horodecki, Phys. Lett. A 223, 1 (1996)
S.J. Akhtarshenas, M.A. Jafarizadeh, Quant. Inf. Comput. (to be published), e-print quant-ph/0211051
T. Wellens, M. Kus, Phys. Rev. A 64, 052302 (2001)
K. Zyczkowski, P. Horodecki, A. Sanpera, M. Lewenstein, Phys. Rev. A 58, 883 (1998)
S.L. Braunstein, C.M. Caves, R. Jozsa, N. Linden, S. Popescu, R. Schack, Phys. Rev. Lett. 83, 1054 (1999)
F. Verstraete, K. Audenaert, J. Dehaene, B. De Moor, J. Phys. A 34, 10327 (2001)
F. Verstraete, M.M. Wolf, Phys. Rev. Lett. 89, 170401 (2002)
N. Linden, S. Massar, S. Popescu, Phys. Rev. Lett. 81, 3279 (1998)
A. Kent, N. Linden, S. Massar, Phys. Rev. Lett. 83, 2656 (1999)
S.J. Akhtarshenas, M.A. Jafarizadeh, Eur. Phys. J. D (submitted, 2002), e-print quant-ph/0211156
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Received: 28 October 2002, Published online: 5 August 2003
PACS:
03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)
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Akhtarshenas, S.J., Jafarizadeh, M.A. Robustness of entanglement for Bell decomposable states. Eur. Phys. J. D 25, 293–298 (2003). https://doi.org/10.1140/epjd/e2003-00243-1
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DOI: https://doi.org/10.1140/epjd/e2003-00243-1