On Entropic Uncertainty Relations for Measurements of Energy and Its “Complement”
Sign Up to like & getrecommendations! Published in 2019 at "Annalen der Physik"
DOI: 10.1002/andp.201800466
Abstract: Heisenberg's uncertainty principle in application to energy and time is a powerful heuristics. This statement plays the important role in foundations of quantum theory and statistical physics. If some state exists for a finite interval… read more here.
Keywords: state; uncertainty relations; energy time; uncertainty ... See more keywords
Entropic uncertainty relations under localizations on discrete quantum groups
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5037820
Abstract: The uncertainty principle has been established within the framework of locally compact quantum groups in recent years. This paper demonstrates that entropic uncertainty relations can be strengthened under localizations on discrete quantum groups, which is… read more here.
Keywords: quantum; entropic uncertainty; uncertainty relations; localizations discrete ... See more keywords
Uncertainty relations in the product form
Sign Up to like & getrecommendations! Published in 2018 at "Chinese Physics B"
DOI: 10.1088/1674-1056/27/7/070302
Abstract: We study the uncertainty relation in the product form of variances and obtain some new uncertainty relations with weight, which are shown to be tighter than those derived from the Cauchy Schwarz inequality. read more here.
Keywords: relations product; product form; uncertainty relations; uncertainty ... See more keywords
Uncertainty relations for multiple operators without covariances
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac4ce8
Abstract: In this paper, we prove the sum and product uncertainty relations conjectured by V Dodonov for multiple observables. The uncertainty relations for linear combinations of position and momentum recently obtained by Kechrimparis and Weigert are… read more here.
Keywords: multiple operators; uncertainty relations; without covariances; operators without ... See more keywords
Operational foundations for complementarity and uncertainty relations
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DOI: 10.1103/physreva.101.052104
Abstract: The so-called preparation uncertainty that occurs in the quantum world can be understood well in purely operational terms, and its existence in any given theory, perhaps differently than in quantum mechanics, can be verified by… read more here.
Keywords: hand side; uncertainty relation; uncertainty; complementarity ... See more keywords
State-independent uncertainty relations
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.98.042121
Abstract: Preparation uncertainty relations establish a trade-off in the statistical spread of incompatible observables. However, the Heisenberg-Robertson (or Schroedinger's) uncertainty relations are expressed in terms of the product of variances, which is null whenever the system… read more here.
Keywords: independent uncertainty; state independent; uncertainty relations; uncertainty ... See more keywords
Uncertainty relations for time-delayed Langevin systems.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.012134
Abstract: The thermodynamic uncertainty relation, which establishes a universal trade-off between nonequilibrium current fluctuations and dissipation, has been found for various Markovian systems. However, this relation has not been revealed for non-Markovian systems; therefore, we investigate… read more here.
Keywords: time delayed; time; uncertainty; langevin systems ... See more keywords
Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.032134
Abstract: Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision of estimation to average… read more here.
Keywords: uncertainty relations; bounds fluctuations; first passage; passage times ... See more keywords
Uncertainty Relations in Implementation of Unitary Operations.
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.121.110403
Abstract: The underlying mechanism in the implementation of unitary operation on a system with an external apparatus is studied. We implement the unitary time evolution in the system as a physical phenomenon that results from the… read more here.
Keywords: uncertainty relations; system; implementation; relations implementation ... See more keywords
Unified Thermodynamic Uncertainty Relations in Linear Response.
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.121.130601
Abstract: Thermodynamic uncertainty relations (TURs) are recently established relations between the relative uncertainty of time-integrated currents and entropy production in nonequilibrium systems. For small perturbations away from equilibrium, linear response (LR) theory provides the natural framework… read more here.
Keywords: uncertainty relations; uncertainty; linear response; unified thermodynamic ... See more keywords
Thermodynamic Uncertainty Relations from Exchange Fluctuation Theorems.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review letters"
DOI: 10.1103/physrevlett.123.090604
Abstract: Thermodynamic uncertainty relations (TURs) place strict bounds on the fluctuations of thermodynamic quantities in terms of the associated entropy production. In this Letter, we identify the tightest (and saturable) matrix-valued TUR that can be derived… read more here.
Keywords: thermodynamic uncertainty; exchange fluctuation; fluctuation theorems; uncertainty relations ... See more keywords