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Title: Detecting nondecomposability of time evolution via extreme gain of correlations
Authors: Krisnanda, Tanjung
Ganardi, Ray
Lee, Su-Yong
Kim, Jaewan
Paterek, Tomasz
Keywords: DRNTU::Science::Physics
Issue Date: 2018
Source: Krisnanda, T., Ganardi, R., Lee, S.-Y., Kim, J., & Paterek, T. (2018). Detecting nondecomposability of time evolution via extreme gain of correlations. Physical Review A, 98(5), 052321-. doi: 10.1103/PhysRevA.98.052321
Series/Report no.: Physical Review A
Abstract: Noncommutativity is one of the most elementary nonclassical features of quantum observables. Here we propose a method to detect noncommutativity of interaction Hamiltonians of two probe objects coupled via a mediator. If these objects are open to their local environments, our method reveals nondecomposability of temporal evolution into a sequence of interactions between each probe and the mediator. The Hamiltonians or Lindblad operators can remain unknown throughout the assessment, we only require knowledge of the dimension of the mediator. Furthermore, no operations on the mediator are necessary. Technically, under the assumption of decomposable evolution, we derive upper bounds on correlations between the probes and then demonstrate that these bounds can be violated with correlation dynamics generated by non-commuting Hamiltonians, e.g., Jaynes-Cummings coupling. An intuitive explanation is provided in terms of multiple exchanges of a virtual particle which lead to the excessive accumulation of correlations. A plethora of correlation quantifiers are helpful in our method, e.g., quantum entanglement, discord, mutual information, and even classical correlation. Finally, we discuss exemplary applications of the method in quantum information: the distribution of correlations and witnessing dimension of an object.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.98.052321
Rights: © 2018 American Physical Society. This paper was published in Physical Review A and is made available as an electronic reprint (preprint) with permission of American Physical Society. The published version is available at: []. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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