Multipartite fully nonlocal quantum states

We present a general method for characterizing the quantum correlations obtained after local measurements on multipartite systems. Sufficient conditions for a quantum system to be fully nonlocal according to a given partition, as well as being (genuinely) multipartite fully nonlocal, are derived. These conditions allow us to identify all completely connected graph states as multipartite fully nonlocal quantum states. Moreover, we show that this feature can also be observed in mixed states: the tensor product of five copies of the Smolin state, a biseparable and bound entangled state, is multipartite fully nonlocal.

[1]  S. Popescu,et al.  Generic quantum nonlocality , 1992 .

[2]  Nicolas Gisin,et al.  Local content of bipartite qubit correlations , 2009, 0909.3839.

[3]  Valerio Scarani,et al.  An anomaly of non-locality , 2006, Quantum Inf. Comput..

[4]  Antonio Acin,et al.  Genuine tripartite entangled states with a local hidden-variable model , 2006 .

[5]  Stefano Pironio,et al.  Maximally Non-Local and Monogamous Quantum Correlations , 2006, Physical review letters.

[6]  M. Seevinck,et al.  Bell-type inequalities for partial separability in N-particle systems and quantum mechanical violations. , 2002, Physical review letters.

[7]  N. Gisin,et al.  Maximal violation of Bell's inequality for arbitrarily large spin , 1992 .

[8]  J. Barrett Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality , 2001, quant-ph/0107045.

[9]  Ashish V. Thapliyal,et al.  Superactivation of bound entanglement. , 2000, Physical review letters.

[10]  V. Scarani,et al.  Device-independent security of quantum cryptography against collective attacks. , 2007, Physical review letters.

[11]  G. Tóth,et al.  Noise robustness of the nonlocality of entangled quantum states. , 2007, Physical review letters.

[12]  S. Massar,et al.  Device-independent state estimation based on Bell’s inequalities , 2009, 0907.2170.

[13]  Valerio Scarani,et al.  Local and nonlocal content of bipartite qubit and qutrit correlations , 2007, 0712.2307.

[14]  Svetlichny,et al.  Distinguishing three-body from two-body nonseparability by a Bell-type inequality. , 1987, Physical review. D, Particles and fields.

[15]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[16]  V. Scarani,et al.  Bell-type inequalities to detect true n-body nonseparability. , 2002, Physical review letters.

[17]  Avshalom C. Elitzur,et al.  Quantum nonlocality for each pair in an ensemble , 1992 .

[18]  J. Smolin Four-party unlockable bound entangled state , 2000, quant-ph/0001001.

[19]  N. Gisin Bell's inequality holds for all non-product states , 1991 .

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

[21]  J. Eisert,et al.  Multiparty entanglement in graph states , 2003, quant-ph/0307130.

[22]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[23]  N. Gisin,et al.  Quantifying multipartite nonlocality. , 2009, Physical review letters.

[24]  J. Bell On the Einstein-Podolsky-Rosen paradox , 1964 .