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Mistrustful quantum cryptographic protocols encode information in incompatible observables, so that any attempt by a dishonest party to access multiple pieces of information necessarily involves a tradeoff. A natural class of such…

量子物理 · 物理学 2026-03-31 Chen-Xun Weng , Minglong Qin , Yanglin Hu , Marco Tomamichel

When an observer wants to identify a quantum state, which is known to be one of a given set of non-orthogonal states, the act of observation causes a disturbance to that state. We investigate the tradeoff between the information gain and…

量子物理 · 物理学 2009-10-28 Christopher A. Fuchs , Asher Peres

It is shown that if the wave function of a quantum system undergoes an arbitrary random transformation such that the diagonal elements of the density matrix in the decoherence basis associated with a preferred observable remain constant,…

量子物理 · 物理学 2025-04-24 Dorje C. Brody , Lane P. Hughston

For sending unknown direction information, antiparallel spins contains more direction information than parallel spins(Gisin and Popescu, 1999, \textit{Phys. Rev. Lett.} 83, 432).In this paper, the optimal information-disturbance tradeoff…

量子物理 · 物理学 2011-07-01 ShengLi Zhang , XuBo Zou , ChuanFeng Li , ChenHui Jin , GuangCan Guo

The accessible information and the informational power quantify the maximum amount of information that can be extracted from a quantum ensemble and by a quantum measurement, respectively. Here, we investigate the tradeoff between the…

量子物理 · 物理学 2019-06-05 Michele Dall'Arno , Francesco Buscemi

The purpose of this paper is to formalize the concept that best synthesizes our intuitive understanding of quantum mechanics -- that the information carried by a system is limited -- and, from this principle, to construct the foundations of…

量子物理 · 物理学 2025-07-04 Paolo Ferro

The extraction of information from a quantum system unavoidably implies a modification of the measured system itself. It has been demonstrated recently that partial measurements can be carried out in order to extract only a portion of the…

Any measurement is intended to provide information on a system, namely knowledge about its state. However, we learn from quantum theory that it is generally impossible to extract information without disturbing the state of the system or its…

量子物理 · 物理学 2020-11-18 Giacomo Mauro D'Ariano , Paolo Perinotti , Alessandro Tosini

Information-theoretic uncertainty relations formulate the joint immeasurability of two non-commuting observables in terms of information entropies. The trade-off of the accuracy in the outcome of two successive measurements manifests in…

量子物理 · 物理学 2021-06-08 Stephan Sponar , Armin Danner , Vito Pecile , Nico Einsidler , Buelent Demirel , Yuji Hasegawa

In quantum physics, measurement error and disturbance were first naively thought to be simply constrained by the Heisenberg uncertainty relation. Later, more rigorous analysis showed that the error and disturbance satisfy more subtle…

量子物理 · 物理学 2015-06-02 Atsushi Nishizawa , Yanbei Chen

This document focuses on translating various information-theoretic measures of distinguishability for probability distributions into measures of distin- guishability for quantum states. These measures should have important appli- cations in…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

A measurement is deemed successful, if one can maximize the information gain by the measurement apparatus. Here, we ask if quantum coherence of the system imposes a limitation on the information gain during quantum measurement. First, we…

量子物理 · 物理学 2020-04-02 Gautam Sharma , Sk Sazim , Arun Kumar Pati

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…

量子物理 · 物理学 2017-04-17 Jun Zhang , Yang Zhang , Chang-shui Yu

Quantum measurement is a basic tool to manifest intrinsic quantum effects from fundamental tests to quantum information applications. While a measurement is typically performed to gain information on a quantum state, its role in quantum…

量子物理 · 物理学 2021-03-24 Seung-Woo Lee , Jaewan Kim , Hyunchul Nha

We develop a novel framework for costly information acquisition in which a decision-maker learns about an unobserved state by choosing a signal distribution, with the cost of information determined by the distribution of noise in the…

理论经济学 · 经济学 2025-03-27 Peter Achim , Kemal Ozbek

We perform an information-theoretical analysis of quantum measurement processes and obtain the global information balance in quantum measurements, in the form of a closed chain equation for quantum mutual entropies. Our balance provides a…

量子物理 · 物理学 2008-06-10 Francesco Buscemi , Masahito Hayashi , Michal Horodecki

We introduce a new framework for analyzing Glauber dynamics for the Ising model. The traditional approach for obtaining sharp mixing results has been to appeal to estimates on spatial properties of the stationary measure from within a…

概率论 · 数学 2015-05-29 Eyal Lubetzky , Allan Sly

Measurement incompatibility is a cornerstone of quantum mechanics. In the context of estimating multiple parameters of a quantum system, this manifests as a fundamental trade-off between the precisions with which different parameters can be…

量子物理 · 物理学 2025-11-11 Simon K. Yung , Aritra Das , Jun Suzuki , Ping Koy Lam , Jie Zhao , Lorcán O. Conlon , Syed M. Assad

The notions of error and disturbance appearing in quantum uncertainty relations are often quantified by the discrepancy of a physical quantity from its ideal value. However, these real and ideal values are not the outcomes of simultaneous…

量子物理 · 物理学 2017-07-26 Joseph M. Renes , Volkher B. Scholz , Stefan Huber

The quantum Cram\'er-Rao bound for the joint estimation of the centroid and the separation between two incoherent point sources cannot be saturated. As such, the optimal measurements for extracting maximal information about both at the same…

量子物理 · 物理学 2025-03-21 J. Řeháček , J. L. Romero , A. Z. Goldberg , Z. Hradil , L. L. Sánchez-Soto