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Information accounting provides a better foundation for hypothesis testing than does uncertainty quantification. A quantitative account of science is derived under this perspective that alleviates the need for epistemic bridge principles,…

其他统计学 · 统计学 2017-04-26 Grey Nearing , Hoshin Gupta

As a part of the construction of an information theory based on general probabilistic theories, we propose and investigate the several distinguishability measures and "entropies" in general probabilistic theories. As their applications,…

量子物理 · 物理学 2015-05-14 Gen Kimura , Koji Nuida , Hideki Imai

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

We consider decision-making under incomplete information about an unknown state of nature. We show that a decision problem yields a higher value of information than another, uniformly across information structures, if and only if it is…

最优化与控制 · 数学 2026-03-16 Michel de Lara

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

In modern quantum information theory one deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime.…

量子物理 · 物理学 2016-09-08 Igor V. Volovich

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

神经元与认知 · 定量生物学 2015-01-09 Robin A. A. Ince , Simon R. Schultz , Stefano Panzeri

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

量子物理 · 物理学 2015-08-03 Muhammad Nadeem

We formulate quantum rate-distortion theory in the most general setting where classical side information is included in the tradeoff. Using a natural distortion measure based on entanglement fidelity and specializing to the case of an…

量子物理 · 物理学 2009-09-25 Igor Devetak , Toby Berger

We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quantum 1-out-of-2 Oblivious Transfer and quantum Bit Commitment…

量子物理 · 物理学 2007-08-19 Ivan B. Damgaard , Serge Fehr , Renato Renner , Louis Salvail , Christian Schaffner

In quantum information, the role of entanglement and disentanglement is itself a subject of research and debate. Earlier works on quantum cryptography have almost established that entanglement has no special advantage in quantum…

综合物理 · 物理学 2007-05-23 Arindam Mitra

The uncertainty of measurement on a quantum system can be reduced in presence of quantum memory [M. Berta et. al. Nature Phys. {\bf 6}, 659 (2010)]. By measurement on quantum memory, some information (non-classical information) is…

量子物理 · 物理学 2012-04-23 T. Pramanik , S. Mal

We review of the interface between (theoretical) physics and information for non-experts. The origin of information as related to the notion of entropy is described, first in the context of thermodynamics then in the context of statistical…

经典物理 · 物理学 2007-12-18 F. Alexander Bais , J. Doyne Farmer

In this contribution I review rigorous formulations of a variety of limitations of measurability in quantum mechanics. To this end I begin with a brief presentation of the conceptual tools of modern measurement theory. I will make precise…

量子物理 · 物理学 2011-01-04 Paul Busch

Symmetry considerations are key towards our understanding of the fundamental laws of Nature. The presence of a symmetry implies that a physical system is invariant under specific transformations and this invariance may have deep…

量子物理 · 物理学 2022-05-30 Paul Brookes , Tikai Chang , Marzena Szymanska , Eytan Grosfeld , Eran Ginossar , Michael Stern

A remarkable theorem by Clifton, Bub and Halvorson (2003)(CBH) characterizes quantum theory in terms of information--theoretic principles. According to Bub (2004, 2005) the philosophical significance of the theorem is that quantum theory…

量子物理 · 物理学 2009-11-11 Amit Hagar , Meir Hemmo

We pedagogically present the information theory as originally established, explaining its essential ideas and paying attention to the expression employed to measure the amount of information. Also we discussed relationships between…

量子物理 · 物理学 2019-12-10 Wallas S. Nascimento , Marcos M. de Almeida , Frederico V. Prudente

Provable entanglement has been shown to be a necessary precondition for unconditionally secure key generation in the context of quantum cryptographic protocols. We estimate the maximal threshold disturbance up to which the two legitimate…

量子物理 · 物理学 2007-05-23 G. M. Nikolopoulos , A. Khalique , G. Alber

We propose a system of information-theoretic axioms from which we derive the formalism of quantum theory. Part I is devoted to the conceptual foundations of the information-theoretic approach. We argue that this approach belongs to the…

量子物理 · 物理学 2016-09-08 Alexei Grinbaum

For the power-law quantum wave packet in configuration space, the variance of the position observable may be divergent. Accordingly, the information-entropic formulation of the uncertainty principle becomes more appropriate than the…

量子物理 · 物理学 2009-11-06 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino