The geometry of entanglement sudden death

In open quantum systems, entanglement can vanish faster than coherence. This phenomenon is usually called sudden death of entanglement. In this paper sudden death of entanglement is discussed from a geometrical point of view, in the context of two qubits. A classification of possible scenarios is presented, with important known examples classified. Suggestions of theoretical and experimental examples are given and large dimensional and multipartite versions of the effect are briefly discussed.

[1]  M. Horodecki,et al.  Dynamics of quantum entanglement , 2000, quant-ph/0008115.

[2]  T. Yu,et al.  Qubit disentanglement and decoherence via dephasing , 2003, quant-ph/0305078.

[3]  Pérès.  Separability Criterion for Density Matrices. , 1996, Physical review letters.

[4]  T. Yu,et al.  Finite-time disentanglement via spontaneous emission. , 2004, Physical review letters.

[5]  S. Lloyd,et al.  Quantum tensor product structures are observable induced. , 2003, Physical Review Letters.

[6]  Joe W. Harris,et al.  Algebraic Geometry: A First Course , 1995 .

[7]  Werner,et al.  Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. , 1989, Physical review. A, General physics.

[8]  M. Lewenstein,et al.  Volume of the set of separable states , 1998, quant-ph/9804024.

[9]  Progressive Decoherence and Total Environmental Disentanglement , 2003, quant-ph/0301096.

[10]  J. Eberly,et al.  Quantum open system theory: bipartite aspects. , 2006, Physical review letters.

[11]  Entanglement in thermal equilibrium states , 2005, quant-ph/0507013.

[12]  J. H. Eberly,et al.  Phonon decoherence of quantum entanglement: Robust and fragile states , 2002 .

[13]  Z. Ficek,et al.  Dark periods and revivals of entanglement in a two-qubit system , 2006 .

[14]  I. Stamatescu,et al.  Decoherence and the Appearance of a Classical World in Quantum Theory , 1996 .

[15]  Daniel A. Lidar,et al.  Decoherence-Free Subspaces for Quantum Computation , 1998, quant-ph/9807004.

[16]  Robert W. Spekkens,et al.  Dialogue Concerning Two Views on Quantum Coherence: Factist and Fictionist , 2005 .

[17]  L. Davidovich,et al.  Direct measurement of finite-time disentanglement induced by a reservoir , 2005, quant-ph/0509204.

[18]  Jonathan J. Halliwell,et al.  Disentanglement and decoherence by open system dynamics , 2004 .

[19]  M. P. Almeida,et al.  Environment-Induced Sudden Death of Entanglement , 2007, Science.

[20]  Ting Yu,et al.  Sudden death of entanglement: Classical noise effects , 2006 .