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We present the entropic uncertainty relations for multiple measurement settings in quantum mechanics. Those uncertainty relations are obtained for both cases with and without the presence of quantum memory. They take concise forms which can…

量子物理 · 物理学 2015-05-06 Shang Liu , Liang-Zhu Mu , Heng Fan

The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments are studied by the time-convolutionless master-equation approach. The influence of non-Markovian effect…

量子物理 · 物理学 2018-11-06 Hong-Mei Zou , Mao-Fa Fang , Bai-Yuan Yang , You-Neng Guo , Wei He , Shi-Yang Zhang

The uncertainty principle is an important principle in quantum theory. Based on this principle, it is impossible to predict the measurement outcomes of two incompatible observables, simultaneously. Uncertainty principle basically is…

量子物理 · 物理学 2019-11-11 S. Haseli , F. Ahmadi

Our knowledge of quantum mechanics can satisfactorily describe simple, microscopic systems, but is yet to explain the macroscopic everyday phenomena we observe. Here we aim to shed some light on the quantum-to-classical transition as seen…

量子物理 · 物理学 2020-08-14 Isadora Veeren , Fernando de Melo

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…

量子物理 · 物理学 2015-01-08 Fabian Furrer , Mario Berta , Marco Tomamichel , Volkher B. Scholz , Matthias Christandl

Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty relations in particular have gained significant importance within quantum information, providing the foundation for the security of many quantum…

量子物理 · 物理学 2011-05-02 Stephanie Wehner , Andreas Winter

The uncertainty principle is one of the comprehensive and fundamental concept in quantum theory. This principle states that it is not possible to simultaneously measure two incompatible observatories with high accuracy. Uncertainty…

量子物理 · 物理学 2020-06-09 Soroush Haseli

The uncertainty principle brings out intrinsic quantum bounds on the precision of measuring non-commuting observables. Statistical outcomes in the measurement of incompatible observables reveal a trade-off on the sum of corresponding…

量子物理 · 物理学 2013-11-11 H. S. Karthik , A. R. Usha Devi , J. Prabhu Tej , A. K. Rajagopal

We derive a new memory-assisted entropic uncertainty relation for non-degenerate Hermitian observables where both quantum correlations, in the form of conditional von Neumann entropy, and quantum discord between system and memory play an…

量子物理 · 物理学 2013-02-06 Z. -H. Ma , C. -M. Yao , Z. -H. Chen , S. Severini , A. Serafini

Uncertainty relations and quantum entanglement are pivotal concepts in quantum theory. Beyond their fundamental significance in shaping our understanding of the quantum world, they also underpin crucial applications in quantum information…

量子物理 · 物理学 2023-12-18 Yundu Zhao , Shan Huang , Shengjun Wu

We derive a thermodynamic uncertainty relation for general open quantum dynamics, described by a joint unitary evolution on a composite system comprising a system and an environment. By measuring the environmental state after the…

统计力学 · 物理学 2021-01-06 Yoshihiko Hasegawa

The precision and response of trajectory observables offer valuable insights into the behavior of nonequilibrium systems. For classical systems, trade-offs between these characteristics and thermodynamic costs, such as entropy production…

量子物理 · 物理学 2025-03-10 Tan Van Vu

The thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative fluctuation of observables and thermodynamic quantities such as dissipation and dynamical activity. Although these relations have been well studied…

统计力学 · 物理学 2022-04-12 Tan Van Vu , Keiji Saito

We derive the uncertainty relation for a quantum open system comprised of a Brownian particle interacting with a bath of quantum oscillators at finite temperature. We examine how the quantum and thermal fluctuations of the environment…

广义相对论与量子宇宙学 · 物理学 2015-06-25 B. L. Hu , Yuhong Zhang

Entropic uncertainty relations provide an information-theoretic framework for quantifying the fundamental indeterminacy inherent in quantum mechanics. We propose more stringent quantum-memory-assisted entropic uncertainty relations for…

量子物理 · 物理学 2026-04-07 Qing-Hua Zhang , Cong Xu , Jing-Feng Wu , Shao-Ming Fei

We study the non-Markovian dynamics of a two-mode bosonic system interacting with two uncorrelated thermal bosonic reservoirs. We present the solution to the exact microscopic Master equation in terms of the quantum characteristic function…

量子物理 · 物理学 2007-07-04 Sabrina Maniscalco , Stefano Olivares , Matteo G. A. Paris

The non-Markovianity is a recently proposed characterization of the non-Markovian behavior in an open quantum system, based on which we first present a practical idea for directly measuring the non-Markovian character of a single qubit…

量子物理 · 物理学 2010-04-27 Z. Y. Xu , W. L. Yang , M. Feng

Uncertainty principle plays a crucial role in quantum mechanics, because it captures the essence of the inevitable randomness associated with the outcomes of two incompatible quantum measurements. Information entropy can perfectly describe…

量子物理 · 物理学 2021-10-25 Xi-Hao Fang , Fei Ming , Dong Wang

In the course of the last decades entropic uncertainty relations have attracted much attention not only due to their fundamental role as manifestation of non-classicality of quantum mechanics, but also as major tools for applications of…

量子物理 · 物理学 2020-05-13 Andreas Ketterer , Otfried Gühne

The uncertainty principle is one of the key concepts in quantum theory. This principle states that it is not possible to measure two incompatible observables simultaneously and accurately. In quantum information theory, the uncertainty…

量子物理 · 物理学 2020-06-25 Soroush Haseli , Saeed Haddadi , Mohammad Reza Pourkarimi
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