Bridging the gap between general probabilistic theories and the device-independent framework for nonlocality and contextuality

作者: Giulio Chiribella , Xiao Yuan

DOI: 10.1016/J.IC.2016.02.006

关键词:

摘要: Abstract Characterizing quantum correlations in terms of information-theoretic principles is a popular chapter foundations. Traditionally, the adopted for this scope have been expressed conditional probability distributions, specifying that black box produces certain output upon receiving input. This framework known as device-independent. Another major foundations characterization theory, with its sets states and measurements, allowed dynamics. The different frameworks are under umbrella term general probabilistic theories. With only few exceptions, two programmes on characterizing theory so far proceeded separate tracks, each one developing own methods agenda. paper aims at bridging gap, by comparing illustrating how can benefit other.

参考文章(122)
S.P. Gudder, M.P. Klay, G.T. Riittimann, STATES ON HYPERGRAPHS Demonstratio Mathematica. ,vol. 19, ,(1986) , 10.1515/DEMA-1986-0223
Umesh Vazirani, Thomas Vidick, Fully device-independent quantum key distribution. Physical Review Letters. ,vol. 113, pp. 140501- ,(2014) , 10.1103/PHYSREVLETT.113.140501
LUCIEN HARDY, A formalism-local framework for general probabilistic theories, including quantum theory Mathematical Structures in Computer Science. ,vol. 23, pp. 399- 440 ,(2013) , 10.1017/S0960129512000163
Samson Abramsky, Bob Coecke, Categorical Quantum Mechanics Handbook of Quantum Logic and Quantum Structures. pp. 261- 323 ,(2009) , 10.1016/B978-0-444-52869-8.50010-4
Borivoje Dakić, Časlav Brukner, Quantum Theory and Beyond: Is Entanglement Special? Deep Beauty. ,vol. 0911, pp. 365- 392 ,(2011) , 10.1017/CBO9780511976971.011
Isaac L. Chuang, Michael A. Nielsen, Quantum Computation and Quantum Information Quantum Computation and Quantum Information. ,(2010)
Bob Coecke, Quantum Picturalism arXiv: Quantum Physics. ,(2009) , 10.1080/00107510903257624
Lluís Masanes, Markus P Müller, Markus P Müller, Markus P Müller, A derivation of quantum theory from physical requirements New Journal of Physics. ,vol. 13, pp. 063001- ,(2011) , 10.1088/1367-2630/13/6/063001
Howard Barnum, Markus P Müller, Cozmin Ududec, Higher-order interference and single-system postulates characterizing quantum theory New Journal of Physics. ,vol. 16, pp. 123029- ,(2014) , 10.1088/1367-2630/16/12/123029