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We investigate the uncertainty principle for two successive projective measurements in terms of R\'enyi entropy based on a single quantum system. Our results cover a large family of the entropy (including the Shannon entropy) uncertainty…

Quantum Physics · Physics 2015-04-14 Jun Zhang , Yang Zhang , Chang-shui Yu

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Karyn Le Hur

We study the evolution of quantum correlations in Bell, Werner, and maximally entangled mixed states of two qubits subjected to correlated amplitude-damping channels. Our primary focus is to evaluate the robustness of entanglement as a…

Quantum Physics · Physics 2025-06-09 Venkat Abhignan , Bidyut Bikash Boruah , R. Srikanth , Ashutosh Singh

Uncertainty relations capture the essence of the inevitable randomness associated with the outcomes of two incompatible quantum measurements. Recently, Berta et al. have shown that the lower bound on the uncertainties of the measurement…

Quantum Physics · Physics 2012-10-09 Arun Kumar Pati , Mark M. Wilde , A. R. Usha Devi , A. K. Rajagopal , Sudha

Uncertainty principle is a striking and fundamental feature in quantum mechanics distinguishing from classical mechanics. It offers an important lower bound to predict outcomes of two arbitrary incompatible observables measured on a…

Quantum Physics · Physics 2020-07-08 Fei Ming , Dong Wang , Xiao-Gang Fan , Wei-Nan Shi , Liu Ye , Jing-Ling Chen

How violently do two quantum operators disagree? Different fields of physics feature different measures of incompatibility: (i) In quantum information theory, entropic uncertainty relations constrain measurement outcomes. (ii) In condensed…

Quantum Physics · Physics 2019-08-13 Nicole Yunger Halpern , Anthony Bartolotta , Jason Pollack

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…

Quantum Physics · Physics 2013-02-06 Z. -H. Ma , C. -M. Yao , Z. -H. Chen , S. Severini , A. Serafini

The quantum uncertainty principle stands as a cornerstone and a distinctive feature of quantum mechanics, setting it apart from classical mechanics. We introduce a tripartite quantum-memory-assisted entropic uncertainty relation, and extend…

Quantum Physics · Physics 2025-11-11 Cong Xu , Qing-Hua Zhang , Tao Li , Shao-Ming Fei

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…

Quantum Physics · Physics 2026-04-07 Qing-Hua Zhang , Cong Xu , Jing-Feng Wu , Shao-Ming Fei

Heisenberg's uncertainty principle provides a fundamental limitation on an observer's ability to simultaneously predict the outcome when one of two measurements is performed on a quantum system. However, if the observer has access to a…

Quantum Physics · Physics 2011-10-04 Robert Prevedel , Deny R. Hamel , Roger Colbeck , Kent Fisher , Kevin J. Resch

We study the dynamics of quantum-memory-assisted entropic uncertainty for a hybrid qutrit-qubit system interacting with fluctuating quantum scalar field in the background of expanding de Sitter space. We firstly derive the master equation…

Quantum Physics · Physics 2019-05-06 Zhiming Huang

Entropic uncertainty relations demonstrate the intrinsic uncertainty of nature from an information-theory perspective. Recently, a quantum-memory-assisted entropic uncertainty relation for multiple measurements was proposed by Wu $et\ al.$…

Quantum Physics · Physics 2023-07-26 Qing-Hua Zhang , Shao-Ming Fei

The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a…

Quantum Physics · Physics 2022-10-26 Dong Wang , Ai-Jun Huang , Ross D. Hoehn , Fei Ming , Wen-Yang Sun , Jia-Dong Shi , Liu Ye , Sabre Kais

It is well known that the interaction of quantum systems with the environment reduces the inherent quantum correlations. Under special circumstances the effect of decoherence can be reversed, for example, the interaction modeled by an…

Quantum Physics · Physics 2017-03-08 Shounak Datta , Suchetana Goswami , Tanumoy Pramanik , A. S. Majumdar

A goal of the emerging field of quantum control is to develop methods for quantum technologies to function robustly in the presence of noise. Central issues are the fundamental limitations on the available information about quantum systems…

We employ quantum relative entropy to establish the relation between the measurement uncertainty and its disturbance on a state in the presence (and absence) of quantum memory. For two incompatible observables, we present the…

Quantum Physics · Physics 2017-04-17 Jun Zhang , Yang Zhang , Chang-shui Yu

In most communication schemes information is transmitted via travelling modes of electromagnetic radiation. These modes are unavoidably subject to environmental noise along any physical transmission medium and the quality of the…

Quantum Physics · Physics 2015-05-11 Giacomo De Palma , Andrea Mari , Vittorio Giovannetti

In presence of quantum memory [M. Berta, M. Christandl, R. Colbeck, J.M. Renes, and R. Renner, Nature Phys. 6, 659 (2010)] the lower bound of entropic uncertainty relation depends on amount of entanglement between the particle (on which two…

Quantum Physics · Physics 2012-04-23 T. Pramanik , P. Chowdhury

We prove two new fundamental uncertainty relations with quantum memory for the Wehrl entropy. The first relation applies to the bipartite memory scenario. It determines the minimum conditional Wehrl entropy among all the quantum states with…

Quantum Physics · Physics 2019-09-02 Giacomo De Palma

We found that in contrast with the common premise, a measurement on the environment of an open quantum system can {\em reduce} its decoherence rate. We demonstrate it by studying an example of indirect qubit's measurement, where the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yin Ye , Yunshan Cao , Xin-Qi Li , Shmuel Gurvitz