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This paper investigates applicability of thermodynamic concepts and principles to competitive systems. We show that Tsallis entropies are suitable for characterisation of systems with transitive competition when mutations deviate from Gibbs…

适应与自组织系统 · 物理学 2014-03-10 A. Y. Klimenko

Entanglement and coherence are two essential quantum resources for quantum information processing. A natural question arises of whether there are direct link between them. And by thinking about this question, we propose a new measure for…

量子物理 · 物理学 2019-04-03 Xiao-Gang Fan , Wen-Yang Sun , Zhi-Yong Ding , Fei Ming , Huan Yang , Dong Wang , Liu Ye

Relations similar to work and exchange fluctuations have been recently derived for open systems dynamically evolving in the presence of an ancilla. Extending these relations and constructing a non-equilibrium Helmholtz equation we derive a…

量子物理 · 物理学 2023-01-23 John Goold , Kavan Modi

We investigate a two-qubit system to understand the relationship between concurrence and mutual information, where the former determines the amount of quantum entanglement, whereas the latter is its classical residue after performing local…

量子物理 · 物理学 2022-10-05 Yong Kwon , Seung Ki Baek , Jaegon Um

By using relative entropy of coherence, we characterize the coherence gain induced by some quantum evolutions, including the cohering power of unitary operations and the decohering power of quantum operations. We find that the cohering…

量子物理 · 物理学 2016-07-28 Zhengjun Xi , Mingliang Hu , Yongming Li , Heng Fan

Non-traditional thermodynamics, applied to random behaviour associated with turbulence, mixing and competition, is reviewed and analysed. Competitive mixing represents a general framework for the study of generic properties of competitive…

适应与自组织系统 · 物理学 2013-05-08 A. Y. Klimenko

We relate the information exchange between two stochastic systems to the nonequilibrium entropy production in the whole system. By deriving a general formula that decomposes the total entropy production into the thermodynamic and…

统计力学 · 物理学 2015-06-16 Takahiro Sagawa , Masahito Ueda

Competitive interactions represent one of the driving forces behind evolution and natural selection in biological and sociological systems. For example, animals in an ecosystem may vie for food or mates; in a market economy, firms may…

物理与社会 · 物理学 2013-07-03 Jacobo Aguirre , David Papo , Javier M. Buldú

The concept of concurrence is researched to characterize the dynamical behavior of the bipartite systems. The quantum kicked top model has great significance in the qubit systems and the chaotic properties of the entanglement. The…

量子物理 · 物理学 2024-01-01 A. Fulop

In quantum mechanics, outcomes of measurements on a state have a probabilistic interpretation while the evolution of the state is treated deterministically. Here we show that one can also treat the evolution as being probabilistic in nature…

量子物理 · 物理学 2009-11-10 J. Oppenheim , B. Reznik

In this work, we delve into the dynamic traits of the relative entropy of quantum coherence (REQC) as the quantum system interacts with the different noisy channels, drawing comparisons with entanglement (concurrence). The research results…

量子物理 · 物理学 2024-03-01 Wen-Yang Sun , A-Min Ding , Juan He , Jiadong Shi , Le Wang , Hui-Fang Xu , Dong Wang , Liu Ye

We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show how the Open Quantum Systems approach can be used as a more…

数理金融 · 定量金融 2024-07-01 Will Hicks

This publication reviews the framework of abstract competition, which is aimed at studying complex systems with competition in their generic form. Although the concept of abstract competition has been derived from a specific field -…

适应与自组织系统 · 物理学 2013-05-28 A. Y. Klimenko

We explore the notion of generated entropy in open quantum systems. We focus on the study of the discrete-time quantum walk on the line, from the entropy production perspective. We argue that the evolution of the coin can be modeled as an…

量子物理 · 物理学 2020-04-13 Andrés Vallejo , Alejandro Romanelli , Raúl Donangelo , Renato Portugal

Recently, it was discovered that the `quantum partial information' needed to merge one party's state with another party's state is given by the conditional entropy, which can be negative [Horodecki, Oppenheim, and Winter, Nature 436, 673…

量子物理 · 物理学 2008-03-25 Jonathan Oppenheim , Robert W. Spekkens , Andreas Winter

We give a simple proof of the uncertainty principle with quantum side information, as in [Berta et al. Nature Physics 6, 659 (2010)], invoking the monotonicity of the relative entropy. Our proof shows that the entropic uncertainty principle…

量子物理 · 物理学 2011-12-08 Patrick J. Coles , Li Yu , Michael Zwolak

It is known that when a system interacts with its environment, the entanglement contained in the system is redistributed since parts of the system entangle with the environment. On the other hand, the entanglement of a system with its…

量子物理 · 物理学 2026-02-05 Daria Gaidukevich

Comparison-based algorithms are algorithms for which the execution of each operation is solely based on the outcome of a series of comparisons between elements. Comparison-based computations can be naturally represented via the following…

数据结构与算法 · 计算机科学 2020-11-17 Michel Schellekens

Studying the relations between entanglement and coherence is essential in many quantum information applications. For this, we consider the concurrence, intrinsic concurrence and first-order coherence, and evaluate the proposed trade-off…

量子物理 · 物理学 2024-01-03 Asad Ali , Saif Al-Kuwari , Saeed Haddadi

We establish the fluctuation theorem in the presence of information exchange between a nonequilibrium system and other degrees of freedom such as an observer and a feedback controller, where the amount of information exchange is added to…

统计力学 · 物理学 2015-06-05 Takahiro Sagawa , Masahito Ueda
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