Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing

Capela, Matheus; Céleri, Lucas C.; Modi, Kavan; Chaves, Rafael

doi:10.1103/PhysRevResearch.2.013350

Title: Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing

Journal Article · 20 March 2020 · Physical Review Research

DOI: https://doi.org/10.1103/PhysRevResearch.2.013350 · OSTI ID:1605636

;

Not Available

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

OSTI ID:: 1605636

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 1 Vol. 2; ISSN PPRHAI; ISSN 2643-1564

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (25)

Quantum Conditional Mutual Information and Approximate Markov Chains Fawzi, Omar; Renner, Renato Communications in Mathematical Physics, Vol. 340, Issue 2 https://doi.org/10.1007/s00220-015-2466-x	journal	September 2015
Algebraic geometry of Bayesian networks Garcia, Luis David; Stillman, Michael; Sturmfels, Bernd Journal of Symbolic Computation, Vol. 39, Issue 3-4 https://doi.org/10.1016/j.jsc.2004.11.007	journal	March 2005
Information–theoretic implications of quantum causal structures Chaves, Rafael; Majenz, Christian; Gross, David Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms6766	journal	January 2015
Quantum non-Markovianity: characterization, quantification and detection Rivas, Ángel; Huelga, Susana F.; Plenio, Martin B. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/094001	journal	August 2014
Quantum causal modelling Costa, Fabio; Shrapnel, Sally New Journal of Physics, Vol. 18, Issue 6 https://doi.org/10.1088/1367-2630/18/6/063032	journal	June 2016
Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference Janzing, Dominik; Chaves, Rafael; Schölkopf, Bernhard New Journal of Physics, Vol. 18, Issue 9 https://doi.org/10.1088/1367-2630/18/9/093052	journal	September 2016
Independence, invariance and the causal Markov condition Hausman, D. The British Journal for the Philosophy of Science, Vol. 50, Issue 4 https://doi.org/10.1093/bjps/50.4.521	journal	December 1999
Analysing causal structures with entropy Weilenmann, Mirjam; Colbeck, Roger Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 473, Issue 2207 https://doi.org/10.1098/rspa.2017.0483	journal	November 2017
Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes Buscemi, Francesco; Datta, Nilanjana Physical Review A, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevA.93.012101	journal	January 2016
Indistinguishability of causal relations from limited marginals Budroni, Costantino; Miklin, Nikolai; Chaves, Rafael Physical Review A, Vol. 94, Issue 4 https://doi.org/10.1103/PhysRevA.94.042127	journal	October 2016
Non-Markovian quantum processes: Complete framework and efficient characterization Pollock, Felix A.; Rodríguez-Rosario, César; Frauenheim, Thomas Physical Review A, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevA.97.012127	journal	January 2018
Structure of quantum stochastic processes with finite Markov order Taranto, Philip; Milz, Simon; Pollock, Felix A. Physical Review A, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevA.99.042108	journal	April 2019
Device-Independent Tests of Classical and Quantum Dimensions Gallego, Rodrigo; Brunner, Nicolas; Hadley, Christopher Physical Review Letters, Vol. 105, Issue 23 https://doi.org/10.1103/PhysRevLett.105.230501	journal	November 2010
Unifying Framework for Relaxations of the Causal Assumptions in Bell’s Theorem Chaves, R.; Kueng, R.; Brask, J. B. Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.140403	journal	April 2015
Device-Independent Tests of Entropy Chaves, Rafael; Brask, Jonatan Bohr; Brunner, Nicolas Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.110501	journal	September 2015
Polynomial Bell Inequalities Chaves, Rafael Physical Review Letters, Vol. 116, Issue 1 https://doi.org/10.1103/PhysRevLett.116.010402	journal	January 2016
Operational Markov Condition for Quantum Processes Pollock, Felix A.; Rodríguez-Rosario, César; Frauenheim, Thomas Physical Review Letters, Vol. 120, Issue 4 https://doi.org/10.1103/PhysRevLett.120.040405	journal	January 2018
Completely Positive Divisibility Does Not Mean Markovianity Milz, Simon; Kim, M. S.; Pollock, Felix A. Physical Review Letters, Vol. 123, Issue 4 https://doi.org/10.1103/PhysRevLett.123.040401	journal	July 2019
Device-Independent Security of Quantum Cryptography against Collective Attacks Acín, Antonio; Brunner, Nicolas; Gisin, Nicolas Physical Review Letters, Vol. 98, Issue 23 https://doi.org/10.1103/PhysRevLett.98.230501	journal	June 2007
Colloquium : Non-Markovian dynamics in open quantum systems Breuer, Heinz-Peter; Laine, Elsi-Mari; Piilo, Jyrki Reviews of Modern Physics, Vol. 88, Issue 2 https://doi.org/10.1103/RevModPhys.88.021002	journal	April 2016
Entropic Inequalities and Marginal Problems Fritz, Tobias; Chaves, Rafael IEEE Transactions on Information Theory, Vol. 59, Issue 2 https://doi.org/10.1109/TIT.2012.2222863	journal	February 2013
SOCIAL SCIENCE: Computational Social Science Lazer, D.; Pentland, A.; Adamic, L. Science, Vol. 323, Issue 5915 https://doi.org/10.1126/science.1167742	journal	February 2009
Markov Chain Monte Carlo in Practice Gilks, W. R.; Richardson, S.; Spiegelhalter, David Chapman and Hall/CRC https://doi.org/10.1201/b14835	book	December 1995
Quantifying causal influences Janzing, Dominik; Balduzzi, David; Grosse-Wentrup, Moritz The Annals of Statistics, Vol. 41, Issue 5 https://doi.org/10.1214/13-AOS1145	journal	October 2013
Bayesian Clustering Using Hidden Markov Random Fields in Spatial Population Genetics François, Olivier; Ancelet, Sophie; Guillot, Gilles Genetics, Vol. 174, Issue 2 https://doi.org/10.1534/genetics.106.059923	journal	August 2006

Similar Records

Data-driven non-Markovian closure models

Journal Article · 2015 · Physica. D, Nonlinear Phenomena · OSTI ID:1197779

Kondrashov, Dmitri; Chekroun, Mickaël D.; Ghil, Michael

Measure for the non-Markovianity of quantum processes

Journal Article · 2010 · Physical Review. A · OSTI ID:21413181

Laine, Elsi-Mari; Piilo, Jyrki; Breuer, Heinz-Peter

Nonclassical correlations in non-Markovian continuous-variable systems

Journal Article · 2010 · Physical Review. A · OSTI ID:21440481

Vasile, Ruggero; Maniscalco, Sabrina; Giorda, Paolo; +2 more

Title: Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing

Citation Formats

References (25)

Similar Records

Related Subjects