Classical correlation and quantum discord sharing of Dirac fields in noninertial frames

The classical and quantum correlation sharing between modes of Dirac fields in the noninertial frame are investigated. It is shown that (i) the classical correlation for the Dirac fields decreases as the acceleration increases, which is different from the result in a scalar field, where the classical correlation is independent of the acceleration; (ii) there is no simple dominating relation between the quantum correlation and entanglement for the Dirac fields, which is unlike the scalar case, where the quantum correlation is always over and above the entanglement; (iii) as the acceleration increases, the correlations between modes I and II and between modes A and II increase, but the correlations between modes A and I decrease.

[1]  Animesh Datta,et al.  Quantum discord and the power of one qubit. , 2007, Physical review letters.

[2]  Robert B. Mann,et al.  Generating entangled fermions by accelerated measurements on the vacuum , 2009, 0903.0219.

[3]  C. Adami,et al.  Negative entropy and information in quantum mechanics , 1995, quant-ph/9512022.

[4]  Gerardo Adesso,et al.  Continuous-variable entanglement sharing in noninertial frames , 2007, quant-ph/0701074.

[5]  E Solano,et al.  Relativity and lorentz invariance of entanglement distillability. , 2006, Physical review letters.

[6]  R. Mann,et al.  Alice falls into a black hole: entanglement in noninertial frames. , 2004, Physical review letters.

[7]  Stephen M. Barnett,et al.  Methods in Theoretical Quantum Optics , 1997 .

[8]  S. Hawking Particle creation by black holes , 1975 .

[9]  Hiroaki Terashima Entanglement entropy of the black hole horizon , 2000 .

[10]  R. Ingarden,et al.  Information Dynamics and Open Systems: Classical and Quantum Approach , 1997 .

[11]  A. Datta,et al.  Entanglement and the power of one qubit , 2005, quant-ph/0505213.

[12]  V. Vedral,et al.  Classical, quantum and total correlations , 2001, quant-ph/0105028.

[13]  S. Hawking Breakdown of Predictability in Gravitational Collapse , 1976 .

[14]  Wojciech Hubert Zurek Quantum discord and Maxwell's demons , 2003 .

[15]  Daniel R. Terno,et al.  Quantum Information and Relativity Theory , 2002, quant-ph/0212023.

[16]  Raoul Dillenschneider,et al.  Quantum discord and quantum phase transition in spin chains , 2008, 0809.1723.

[17]  Eric Lutz,et al.  Energetics of quantum correlations , 2008, 0803.4067.

[18]  Christoph Adami,et al.  Quantum entanglement of moving bodies. , 2002, Physical review letters.

[19]  E. Martín-Martínez,et al.  Spin and occupation number entanglement of Dirac fields for noninertial observers , 2009, 0902.4456.

[20]  Asher Peres,et al.  Quantum entropy and special relativity. , 2002, Physical review letters.

[21]  E. Martín-Martínez,et al.  Fermionic entanglement that survives a black hole , 2009, 0907.1960.

[22]  E. Martín-Martínez,et al.  Quantum correlations through event horizons: Fermionic versus bosonic entanglement , 2010, 1001.4302.

[23]  R. Mann,et al.  Speeding up entanglement degradation , 2009, 0902.1580.

[24]  M. Plenio Logarithmic negativity: a full entanglement monotone that is not convex. , 2005, Physical review letters.

[25]  G. Vidal,et al.  Computable measure of entanglement , 2001, quant-ph/0102117.

[26]  W. Zurek,et al.  Quantum discord: a measure of the quantumness of correlations. , 2001, Physical review letters.

[27]  L. Hollenberg,et al.  Loss of spin entanglement for accelerated electrons in electric and magnetic fields , 2008, 0807.4356.

[28]  Jieci Wang,et al.  Entanglement of coupled massive scalar field in background of dilaton black hole , 2009, 0905.3226.

[29]  Jiliang Jing,et al.  Hawking radiation, entanglement, and teleportation in the background of an asymptotically flat static black hole , 2008, 0809.0811.

[30]  A. G. S. Landulfo,et al.  Sudden death of entanglement and teleportation fidelity loss via the Unruh effect , 2009, 0907.0485.

[31]  Gerard J. Milburn,et al.  Quantum connectivity of space-time and gravitationally induced decorrelation of entanglement , 2009 .

[32]  Shahpoor Moradi Distillability of entanglement in accelerated frames , 2009 .

[33]  W. Wootters,et al.  Distributed Entanglement , 1999, quant-ph/9907047.

[34]  P. Alsing,et al.  Entanglement of Dirac fields in noninertial frames , 2006, quant-ph/0603269.

[35]  Jiliang Jing,et al.  Degradation of nonmaximal entanglement of scalar and Dirac fields in noninertial frames , 2008, 0802.1238.

[36]  G J Milburn,et al.  Teleportation with a uniformly accelerated partner. , 2003, Physical review letters.

[37]  M. S. Sarandy Classical correlation and quantum discord in critical systems , 2009, 0905.1347.

[38]  Lee,et al.  Quantum source of entropy for black holes. , 1986, Physical review. D, Particles and fields.

[39]  D. Bouwmeester,et al.  The Physics of Quantum Information , 2000 .

[40]  B. Lanyon,et al.  Experimental quantum computing without entanglement. , 2008, Physical review letters.

[41]  Animesh Datta Quantum discord between relatively accelerated observers , 2009 .