Article
Chemistry, Applied
Forrest H. Kaatz, Adhemar Bultheel
Summary: This study investigates nanocatalysis using density functional theory, statistical mechanics, and thermodynamics, finding size effects for nanoclusters between 3 and 9 nm. Despite modeling three different systems, only small differences in the large-scale entropy and enthalpy of the nanoclusters were observed. Shape effects are predicted to be greatest for nanoclusters of size 10 nm.
Article
Nanoscience & Nanotechnology
S. Ripandelli, D. Pugliese, M. Sotgiu, U. Morbiducci
Summary: This study explores how interacting systems can transport/store information generated in the interaction process using energy or matter, with a focus on considering a fluid as a carrier of information. By applying information theory to microfluidic data, the study integrates fluid mechanics theory with Shannon's information theory to interpret fluid dynamics in terms of information theory, identifying the geometric features of obstacles the fluid interacts with. The proposed approach can extract information on processes inside a system without relying on governing equations or intrusive measurements.
MICROFLUIDICS AND NANOFLUIDICS
(2021)
Article
Physics, Multidisciplinary
Nina Megier, Andrea Smirne, Bassano Vacchini
Summary: This study explores the impact of information backflow on non-Markovian quantum dynamics in open quantum systems, explaining the revival of trace distance between system states through the establishment of system-environment correlations or changes in the environmental state. Utilizing the concept of telescopic relative entropy, general upper bounds on entropy revivals conditioned by correlations and environmental changes are derived, with examples including the Jaynes-Cummings model and phase covariant dynamics.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Tan Van Vu, Keiji Saito
Summary: The Landauer principle states that any logically irreversible information processing must result in dissipation into the environment. In this Letter, the authors investigate the heat dissipation and the effect of quantum coherence in finite-time information erasure processes. They find that the heat dissipation is lower bounded by the conventional Landauer cost, with a correction term inversely proportional to the operational time. They also derive a lower bound for heat dissipation in terms of quantum coherence, which implies that the creation of quantum coherence during the erasure process leads to additional heat costs.
PHYSICAL REVIEW LETTERS
(2022)
Article
Computer Science, Information Systems
Michael G. Jabbour, Nilanjana Datta
Summary: We prove a tight uniform continuity bound for Arimoto's version of the conditional alpha-Renyi entropy for the range alpha is an element of [0, 1). The conditional alpha-Renyi entropy is a natural and widely used concept in information theory, and it has applications in various tasks such as guessing and decoding. Our result also reveals the relationship between the conditional alpha-Renyi entropy and the conditional Shannon entropy.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2022)
Article
Physics, Multidisciplinary
Collins Okon Edet, Francisco Cleiton E. Lima, Carlos Alberto S. Almeida, Norshamsuri Ali, Muhammad Asjad
Summary: The study investigates quantum information using the Aharanov-Bohm (AB) ring in Yukawa mechanics in curved space. Shannon entropy is obtained through the eigenfunctions of the system, allowing exploration of quantum information in position and reciprocal space. The study also discusses the influence of magnetic field, AB flux, and topological defect on quantum states and information entropy.
Article
Chemistry, Physical
Ifeanyi J. Njoku, Emeka Onyeocha, Chibueze P. Onyenegecha, Modestus Onuoha, Eugene K. Egeonu, Placid Nwaokafor
Summary: This paper focuses on the quantum information measures and complexity of the modified Mobius squared plus Eckart potential. The energy eigenvalues and wave function of the system are obtained through the approximate solutions of the Schrodinger equation. Various measures, such as Shannon entropy, Onicescu information energy, and Fisher information, are examined for the system. Additionally, several inequalities and principles, such as the Bialynicki-Birula and Mycielski inequality, Heisenberg uncertainty principle, and Fisher information sum inequality, are verified. The results demonstrate the shifts in probability density peak and the existence of squeezed states.
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
(2023)
Article
Physics, Multidisciplinary
Ryuji Takagi, Naoto Shiraishi
Summary: This research shows that allowing correlation among multiple catalysts can provide unlimited power in quantum coherence manipulation. Any state transformation can be achieved with minimal error by covariant operations with catalysts that may create correlation within them while keeping their marginal states intact. This phenomenon, called resource embezzlement, attributes the embezzlement of resources to the correlation generated among multiple catalysts. The study also extends the analysis to general resource theories and provides conditions for feasible transformations assisted by catalysts that involve correlation.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Qian Zeng, Jin Wang
Summary: This study focuses on refining the concept of Maxwell's demon to explore the limit of energy dissipation in open systems, uncovering a previously unexplored set of fluctuation theorems. These theorems reveal the existence of an intrinsic nonequilibrium state in the system, guided by nonnegative demon-induced dissipative information. The analysis suggests that the bounds of both work and heat in the system are tighter than previously predicted, and proposes a potential experimental test to verify these boundaries.
Article
Physics, Multidisciplinary
Nur Izzati Ishak, S. Muniandy, Wu Yi Chong
Summary: This study investigates the behavior of a one-dimensional quantum walk in the presence of flip-bit noise channel, revealing a wide range of probability distributions under different noise intensities. Surprisingly, the maximum Shannon entropy of the walk is achieved at a lower degree of decoherence rather than maximum decoherence.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Computer Science, Artificial Intelligence
Omid Kharazmi, Narayanaswamy Balakrishnan, Deniz Ozonur
Summary: In this work, the authors study the discrete version of the information generating function and propose a generalized measure called Jensen-discrete information generating (JDIG) function. They establish connections between JDIG and various entropy and similarity measures. The authors provide a real example from image processing to demonstrate that JDIG is a useful criterion for measuring similarity between two images.
Article
Biology
Maike L. Morrison, Noah A. Rosenberg
Summary: The measurement of diversity is crucial in ecology and evolution studies. Population genetics and ecology use similar concepts and mathematical formulas to study diversity. Recent developments in mathematical constraints on the Shannon entropy statistic have improved our understanding of how standard measures depend on the most frequent allele. This study extends these constraints to specific positions in a vector of species abundances and provides new insights into the interpretation of numerical measurements of biodiversity.
JOURNAL OF MATHEMATICAL BIOLOGY
(2023)
Article
Physics, Multidisciplinary
Zhiyu Tian, Yang Liu, Le Luo
Summary: This study explores topological edge states in non-Hermitian systems using the characteristics of diffusion coefficients, revealing unique features during topological phase transitions. Additionally, a direct correlation between the Shannon entropy of quantum walks and diffusion coefficients is discovered. This research presents a new avenue for studying topological states in non-Hermitian quantum walk systems.
Article
Computer Science, Information Systems
Ben Xu, Yong Deng
Summary: This paper presents a method to calculate the information volume of Z-numbers by transforming them into mass functions and representing the information volume as Shannon entropy. The information volume is shown to be related to the Z-restriction and fuzzy number A. A new weighted multiple attribute decision making method is proposed to illustrate the practical advantages of the information volume.
INFORMATION SCIENCES
(2022)
Article
Physics, Multidisciplinary
Ata Assaf, Mehmet Huseyin Bilgin, Ender Demir
Summary: This paper quantifies information flows between Bitcoin, Ethereum, and Ripple using transfer entropy and Renyi transfer entropy, finding bidirectional information transmission between Bitcoin and Ripple, and only one directional transmission from Ripple to Ethereum. There is no nonlinear information transmission, indicating linear dependency among the three cryptocurrencies. Information transmission mostly occurs before the cryptocurrency crash, and a significant flow is observed from Bitcoin to Ripple.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Matteo Lostaglio, Markus P. Mueller, Michele Pastena
PHYSICAL REVIEW LETTERS
(2015)
Article
Engineering, Multidisciplinary
Michele Pastena, Bastian Weinhorst, Guenter Kanisch, Edgar Perez Lezama, Johannes Ratdke, Tim Thomas
Summary: Dismantling nuclear power plants produces a large amount of waste that must be disposed of according to regulations. Some waste can be released freely, while others need to be stored in special repositories. Researchers have developed a special algorithm to determine the clearance of waste samples.
MEASUREMENT SCIENCE AND TECHNOLOGY
(2021)