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We discuss the relation between entropic uncertainty relations by Buscemi et al. and by Barchielli et al.

Quantum Physics · Physics 2017-09-13 Daigo Watanabe , Osamu Narikiyo

The possibility of extracting more work from a physical system thanks to the information obtained from measurements has been a topic of fundamental interest in the context of thermodynamics since the formulation of the Maxwell's demon…

Quantum Physics · Physics 2025-03-31 Seyed Navid Elyasi , Matteo A. C. Rossi , Marco G. Genoni

A prominent formulation of the uncertainty principle identifies the fundamental quantum feature that no particle may be prepared with certain outcomes for both position and momentum measurements. Often the statistical uncertainties are…

Quantum Physics · Physics 2015-01-08 Fabian Furrer , Mario Berta , Marco Tomamichel , Volkher B. Scholz , Matthias Christandl

Anomalous thermal relaxation is ubiquitous in nonequilibrium statistical mechanics. An emblematic example of this is the Mpemba effect, where an initially ``hot'' system cools faster than an initially ``cooler'' one. This effect has…

Quantum Physics · Physics 2025-07-04 Ivan Medina , Oisín Culhane , Felix C. Binder , Gabriel T. Landi , John Goold

The entropic uncertainty relation (EUR) is of significant importance in the security proof of continuous-variable quantum key distribution under coherent attacks. The parameter estimation in the EUR method contains the estimation of the…

Quantum Physics · Physics 2019-07-05 Ziyang Chen , Yi-Chen Zhang , Xiangyu Wang , Song Yu , Hong Guo

We discuss some applications of various versions of uncertainty relations for both discrete and continuous variables in the context of quantum information theory. The Heisenberg uncertainty relation enables demonstration of the EPR paradox.…

Quantum Physics · Physics 2014-10-23 Archan S. Majumdar , Tanumoy Pramanik

Extracting work from a physical system is one of the cornerstones of quantum thermodynamics. The extractable work, as quantified by ergotropy, necessitates a complete description of the quantum system. This is significantly more challenging…

Quantum Physics · Physics 2025-10-30 Shantanav Chakraborty , Siddhartha Das , Arnab Ghorui , Soumyabrata Hazra , Uttam Singh

Uncertainty relations take a crucial and fundamental part in the frame of quantum theory, and are bringing on many marvelous applications in the emerging field of quantum information sciences. Especially, as entropy is imposed into the…

Quantum Physics · Physics 2022-11-01 Dong Wang , Fei Ming , Ming-Liang Hu , Liu Ye

The thermodynamic uncertainty relations (TURs) provide lower bounds on the entropy production (EP) of a system in terms of the statistical precision of an arbitrary current in that system. All conventional TURs derived so far have concerned…

Statistical Mechanics · Physics 2021-03-19 Gülce Kardeş , David H. Wolpert

We investigate the charging dynamics of a frequency-modulated quantum battery (QB) placed within a dissipative cavity environment. Our study focuses on the interaction of such a battery under both weak and strong coupling regimes, employing…

Entropic uncertainty relations (EURs) have been examined in various contexts, primarily in qubit systems, including their links with entanglement, as they subsume the Heisenberg uncertainty principle. With their genesis in the Shannon…

Quantum Physics · Physics 2023-06-21 Soumyabrata Paul , S. Lakshmibala , V. Balakrishnan , S. Ramanan

In realistic open-system environments, decoherence and dissipation naturally drive quantum batteries toward passive states, thereby limiting their maximum extractable work (ergotropy). While quantum catalysis has been proposed to mitigate…

Quantum Physics · Physics 2026-04-29 Shun-Cai Zhao

We review the plethora of uncertainty relations that appear in quantum mechanics and their nuances. We present both foundational applications, e.g. in understanding and defining complementarity, and practical applications, e.g. in quantum…

Quantum Physics · Physics 2026-04-13 Giovanni Chesi , Lorenzo Maccone

Quantum batteries utilize nonclassical resources to achieve charging speed and energy storage performances that surpass classical thermodynamic limits. However, the practical realization of quantum batteries is often constrained by the…

Quantum Physics · Physics 2026-05-19 Fan Yang , Hui Wang , Yusef Maleki , William J. Munro , Girish S. Agarwal , Marlan O. Scully

We investigate the performance of a quantum battery exposed to local Markovian and non-Markovian dephasing noises. The battery is initially prepared as the ground state of a one-dimensional transverse $XY$ model with open boundary condition…

Quantum Physics · Physics 2021-09-21 Srijon Ghosh , Titas Chanda , Shiladitya Mal , Aditi Sen De

Uncertainty relations express the fundamental incompatibility of certain observables in quantum mechanics. Far from just being puzzling constraints on our ability to know the state of a quantum system, uncertainty relations are at the heart…

Quantum Physics · Physics 2012-08-30 Omar Fawzi

We study the role of coherence in closed and open quantum batteries. We obtain upper bounds to the work performed or energy exchanged by both closed and open quantum batteries in terms of coherence. Specifically, we show that the energy…

Quantum Physics · Physics 2021-07-19 Francesco Caravelli , Bin Yan , Luis Pedro Garcia-Pintos , Alioscia Hamma

Uncertainty relation usually is one of the most important features in quantum mechanics, and is the backbone of quantum theory, which distinguishes from the rule in classical counterpart. Specifically, entropy-based uncertainty relations…

Quantum Physics · Physics 2020-03-05 Zhi-Yong Ding , Huan Yang , Dong Wang , Hao Yuan , Jie Yang , Liu Ye

Quantum battery has become one of the hot issues at the research frontiers of quantum physics recently. Charging power, extractable work and wireless charging over long-distance are three important aspects of interest. Non-contact…

Quantum Physics · Physics 2025-11-18 Jun Wen , Zheng Wen , Ping Peng , Guan-Qiang Li

The uncertainty principle sets limit on our ability to predict the values of two incompatible observables measured on a quantum particle simultaneously. This principle can be stated in various forms. In quantum information theory, it is…

Quantum Physics · Physics 2018-09-27 H. Dolatkhah , S. Haseli , S. Salimi , S. A. Khorashad