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

Authors:

;

Publication Date:: 2020-03-20

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

OSTI Identifier:: 1605636

Grant/Contract Number:: ERKJ333

Resource Type:: Published Article

Journal Name:: Physical Review Research

Additional Journal Information:: Journal Name: Physical Review Research Journal Volume: 2 Journal Issue: 1; Journal ID: ISSN 2643-1564

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Capela, Matheus, Céleri, Lucas C., Modi, Kavan, and Chaves, Rafael. Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing.  United States: N. p., 2020. 
Web.  doi:10.1103/PhysRevResearch.2.013350.

Copy to clipboard


                    Capela, Matheus, Céleri, Lucas C., Modi, Kavan, & Chaves, Rafael. Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing.  United States.  https://doi.org/10.1103/PhysRevResearch.2.013350

Copy to clipboard


                    Capela, Matheus, Céleri, Lucas C., Modi, Kavan, and Chaves, Rafael. Fri .  
"Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing".  United States.  https://doi.org/10.1103/PhysRevResearch.2.013350.

Copy to clipboard


                    
@article{osti_1605636,

  title        = {Monogamy of temporal correlations: Witnessing non-Markovianity beyond data processing},

  author       = {Capela, Matheus and Céleri, Lucas C. and Modi, Kavan and Chaves, Rafael},

  abstractNote = {},

  doi          = {10.1103/PhysRevResearch.2.013350},

  journal      = {Physical Review Research},

  number       = 1,

  volume       = 2,

  place        = {United States},

  year         = {2020},

  month        = {3}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Publisher's Version of Record
https://doi.org/10.1103/PhysRevResearch.2.013350

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Independence, invariance and the causal Markov condition
journal, December 1999

Hausman, D.
The British Journal for the Philosophy of Science, Vol. 50, Issue 4
DOI: 10.1093/bjps/50.4.521

Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference
journal, September 2016

Janzing, Dominik; Chaves, Rafael; Schölkopf, Bernhard
New Journal of Physics, Vol. 18, Issue 9
DOI: 10.1088/1367-2630/18/9/093052

Analysing causal structures with entropy
journal, November 2017

Weilenmann, Mirjam; Colbeck, Roger
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 473, Issue 2207
DOI: 10.1098/rspa.2017.0483

Quantum Conditional Mutual Information and Approximate Markov Chains
journal, September 2015

Fawzi, Omar; Renner, Renato
Communications in Mathematical Physics, Vol. 340, Issue 2
DOI: 10.1007/s00220-015-2466-x

Indistinguishability of causal relations from limited marginals
journal, October 2016

Budroni, Costantino; Miklin, Nikolai; Chaves, Rafael
Physical Review A, Vol. 94, Issue 4
DOI: 10.1103/PhysRevA.94.042127

Quantifying causal influences
journal, October 2013

Janzing, Dominik; Balduzzi, David; Grosse-Wentrup, Moritz
The Annals of Statistics, Vol. 41, Issue 5
DOI: 10.1214/13-AOS1145

Unifying Framework for Relaxations of the Causal Assumptions in Bell’s Theorem
journal, April 2015

Chaves, R.; Kueng, R.; Brask, J. B.
Physical Review Letters, Vol. 114, Issue 14
DOI: 10.1103/PhysRevLett.114.140403

Operational Markov Condition for Quantum Processes
journal, January 2018

Pollock, Felix A.; Rodríguez-Rosario, César; Frauenheim, Thomas
Physical Review Letters, Vol. 120, Issue 4
DOI: 10.1103/PhysRevLett.120.040405

Information–theoretic implications of quantum causal structures
journal, January 2015

Chaves, Rafael; Majenz, Christian; Gross, David
Nature Communications, Vol. 6, Issue 1
DOI: 10.1038/ncomms6766

Colloquium : Non-Markovian dynamics in open quantum systems
journal, April 2016

Breuer, Heinz-Peter; Laine, Elsi-Mari; Piilo, Jyrki
Reviews of Modern Physics, Vol. 88, Issue 2
DOI: 10.1103/RevModPhys.88.021002

Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
journal, January 2016

Buscemi, Francesco; Datta, Nilanjana
Physical Review A, Vol. 93, Issue 1
DOI: 10.1103/PhysRevA.93.012101

Structure of quantum stochastic processes with finite Markov order
journal, April 2019

Taranto, Philip; Milz, Simon; Pollock, Felix A.
Physical Review A, Vol. 99, Issue 4
DOI: 10.1103/PhysRevA.99.042108

Polynomial Bell Inequalities
journal, January 2016

Chaves, Rafael
Physical Review Letters, Vol. 116, Issue 1
DOI: 10.1103/PhysRevLett.116.010402

Device-Independent Tests of Classical and Quantum Dimensions
journal, November 2010

Gallego, Rodrigo; Brunner, Nicolas; Hadley, Christopher
Physical Review Letters, Vol. 105, Issue 23
DOI: 10.1103/PhysRevLett.105.230501

Completely Positive Divisibility Does Not Mean Markovianity
journal, July 2019

Milz, Simon; Kim, M. S.; Pollock, Felix A.
Physical Review Letters, Vol. 123, Issue 4
DOI: 10.1103/PhysRevLett.123.040401

Non-Markovian quantum processes: Complete framework and efficient characterization
journal, January 2018

Pollock, Felix A.; Rodríguez-Rosario, César; Frauenheim, Thomas
Physical Review A, Vol. 97, Issue 1
DOI: 10.1103/PhysRevA.97.012127

SOCIAL SCIENCE: Computational Social Science
journal, February 2009

Lazer, D.; Pentland, A.; Adamic, L.
Science, Vol. 323, Issue 5915
DOI: 10.1126/science.1167742

Device-Independent Security of Quantum Cryptography against Collective Attacks
journal, June 2007

Acín, Antonio; Brunner, Nicolas; Gisin, Nicolas
Physical Review Letters, Vol. 98, Issue 23
DOI: 10.1103/PhysRevLett.98.230501

Entropic Inequalities and Marginal Problems
journal, February 2013

Fritz, Tobias; Chaves, Rafael
IEEE Transactions on Information Theory, Vol. 59, Issue 2
DOI: 10.1109/TIT.2012.2222863

Quantum causal modelling
journal, June 2016

Costa, Fabio; Shrapnel, Sally
New Journal of Physics, Vol. 18, Issue 6
DOI: 10.1088/1367-2630/18/6/063032

Device-Independent Tests of Entropy
journal, September 2015

Chaves, Rafael; Brask, Jonatan Bohr; Brunner, Nicolas
Physical Review Letters, Vol. 115, Issue 11
DOI: 10.1103/PhysRevLett.115.110501

Quantum non-Markovianity: characterization, quantification and detection
journal, August 2014

Rivas, Ángel; Huelga, Susana F.; Plenio, Martin B.
Reports on Progress in Physics, Vol. 77, Issue 9
DOI: 10.1088/0034-4885/77/9/094001

Algebraic geometry of Bayesian networks
journal, March 2005

Garcia, Luis David; Stillman, Michael; Sturmfels, Bernd
Journal of Symbolic Computation, Vol. 39, Issue 3-4
DOI: 10.1016/j.jsc.2004.11.007

Bayesian Clustering Using Hidden Markov Random Fields in Spatial Population Genetics
journal, August 2006

François, Olivier; Ancelet, Sophie; Guillot, Gilles
Genetics, Vol. 174, Issue 2
DOI: 10.1534/genetics.106.059923

Similar Records in DOE PAGES and OSTI.GOV collections:

Dynamics of time correlation functions and stochastic quantum trajectories methods in Non-Markovian systems

Journal Article Alonso, Daniel ; Vega, Ines de - AIP Conference Proceedings

Open quantum systems are often encountered in many different physical situations. From quantum optics to statistical mechanics, they are fundamental in the understanding of a great variety of different phenomena. Some of the most common examples are the relaxation to equilibrium, the existence of nonequilibrium stationary states, and the dynamics of atoms in interaction with electromagnetic fields. A crucial step in the analysis is to consider the quantum open system and its environment as the two mutually interacting components of a larger isolated system. Thereafter, the so-called Markov approximation is often considered, which consists on assuming that the time scalesmore »« less
https://doi.org/10.1063/1.3460217
Non-Markovian reduced propagator, multiple-time correlation functions, and master equations with general initial conditions in the weak-coupling limit

Journal Article Vega, Ines de ; Alonso, Daniel - Physical Review. A

In this paper we derive the evolution equation for the reduced propagator, an object that evolves vectors of the Hilbert space of a system S interacting with an environment B in a non-Markovian way. This evolution is conditioned to certain initial and final states of the environment. Once an average over these environmental states is made, reduced propagators permit the evaluation of multiple-time correlation functions of system observables. When this average is done stochastically the reduced propagator evolves according to a stochastic Schroedinger equation. In addition, it is possible to obtain the evolution equations of the multiple-time correlation functions whichmore »« less
https://doi.org/10.1103/PHYSREVA.73.022102
Non-Markovian finite-temperature two-time correlation functions of system operators of a pure-dephasing model

Journal Article Goan, Hsi-Sheng ; Jian, Chung-Chin ; Chen, Po-Wen - Physical Review. A

We evaluate the non-Markovian finite-temperature two-time correlation functions (CF's) of system operators of a pure-dephasing spin-boson model in two different ways, one by the direct exact operator technique and the other by the recently derived evolution equations, valid to second order in the system-environment interaction Hamiltonian. This pure-dephasing spin-boson model that is exactly solvable has been extensively studied as a simple decoherence model. However, its exact non-Markovian finite-temperature two-time system operator CF's, to our knowledge, have not been presented in the literature. This may be mainly due to the fact, illustrated in this article, that in contrast to the Markovianmore »« less
https://doi.org/10.1103/PHYSREVA.82.012111
Nonclassical correlations in non-Markovian continuous-variable systems

Journal Article Vasile, Ruggero ; Maniscalco, Sabrina ; Giorda, Paolo ; ... - Physical Review. A

We consider two identical and noninteracting harmonic oscillators coupled to either two independent bosonic baths or to a common bosonic bath. Under the only assumption, weak coupling, we analyze in detail the non-Markovian short-time-scale evolution of intensity correlations, entanglement, and quantum discord for initial two-mode squeezed-thermal vacuum states. In the independent reservoirs case, we observe the detrimental effect of the environment for all these quantities and we establish a hierarchy for their robustness against the environmental noise. In the common reservoir case, for initial uncorrelated states, we find that only quantum discord can be created via interaction with the bath,more »« less
https://doi.org/10.1103/PHYSREVA.82.012313
Role of environmental correlations in the non-Markovian dynamics of a spin system

Journal Article Lorenzo, Salvatore ; INFN - Gruppo collegato di Cosenza, I-87036 Arcavacata di Rende, Cosenza ; Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN ; ... - Physical Review. A

We study the dynamics of a chain of interacting quantum particles affected by an individual or collective environment(s), focusing on the role played by the environmental quantum correlations over the evolution of the chain. The presence of entanglement in the state of the environment magnifies the non-Markovian nature of the chain's dynamics, giving rise to structures in figures of merit such as spin entanglement and purity that are not observed under a separable environmental state. Our analysis can be relevant to problems tackling the open-system dynamics of biological complexes of strong current interest.
https://doi.org/10.1103/PHYSREVA.84.032124

Similar Records

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

Citation Formats

Independence, invariance and the causal Markov condition journal, December 1999

Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference journal, September 2016

Analysing causal structures with entropy journal, November 2017

Quantum Conditional Mutual Information and Approximate Markov Chains journal, September 2015

Indistinguishability of causal relations from limited marginals journal, October 2016

Quantifying causal influences journal, October 2013

Unifying Framework for Relaxations of the Causal Assumptions in Bell’s Theorem journal, April 2015

Operational Markov Condition for Quantum Processes journal, January 2018

Information–theoretic implications of quantum causal structures journal, January 2015

Colloquium : Non-Markovian dynamics in open quantum systems journal, April 2016

Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes journal, January 2016

Structure of quantum stochastic processes with finite Markov order journal, April 2019

Polynomial Bell Inequalities journal, January 2016

Device-Independent Tests of Classical and Quantum Dimensions journal, November 2010

Completely Positive Divisibility Does Not Mean Markovianity journal, July 2019

Non-Markovian quantum processes: Complete framework and efficient characterization journal, January 2018

SOCIAL SCIENCE: Computational Social Science journal, February 2009

Device-Independent Security of Quantum Cryptography against Collective Attacks journal, June 2007

Entropic Inequalities and Marginal Problems journal, February 2013

Quantum causal modelling journal, June 2016

Device-Independent Tests of Entropy journal, September 2015

Quantum non-Markovianity: characterization, quantification and detection journal, August 2014

Algebraic geometry of Bayesian networks journal, March 2005

Bayesian Clustering Using Hidden Markov Random Fields in Spatial Population Genetics journal, August 2006

Independence, invariance and the causal Markov condition
journal, December 1999

Algorithmic independence of initial condition and dynamical law in thermodynamics and causal inference
journal, September 2016

Analysing causal structures with entropy
journal, November 2017

Quantum Conditional Mutual Information and Approximate Markov Chains
journal, September 2015

Indistinguishability of causal relations from limited marginals
journal, October 2016

Quantifying causal influences
journal, October 2013

Unifying Framework for Relaxations of the Causal Assumptions in Bell’s Theorem
journal, April 2015

Operational Markov Condition for Quantum Processes
journal, January 2018

Information–theoretic implications of quantum causal structures
journal, January 2015

Colloquium : Non-Markovian dynamics in open quantum systems
journal, April 2016

Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
journal, January 2016

Structure of quantum stochastic processes with finite Markov order
journal, April 2019

Polynomial Bell Inequalities
journal, January 2016

Device-Independent Tests of Classical and Quantum Dimensions
journal, November 2010

Completely Positive Divisibility Does Not Mean Markovianity
journal, July 2019

Non-Markovian quantum processes: Complete framework and efficient characterization
journal, January 2018

SOCIAL SCIENCE: Computational Social Science
journal, February 2009

Device-Independent Security of Quantum Cryptography against Collective Attacks
journal, June 2007

Entropic Inequalities and Marginal Problems
journal, February 2013

Quantum causal modelling
journal, June 2016

Device-Independent Tests of Entropy
journal, September 2015

Quantum non-Markovianity: characterization, quantification and detection
journal, August 2014

Algebraic geometry of Bayesian networks
journal, March 2005

Bayesian Clustering Using Hidden Markov Random Fields in Spatial Population Genetics
journal, August 2006