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The fundamentals of the Maximum Entropy principle as a rule for assigning and updating probabilities are revisited. The Shannon-Jaynes relative entropy is vindicated as the optimal criterion for use with an updating rule. A constructive…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Vesselin I. Dimitrov

Thermodynamic uncertainty relations reveal a fundamental trade-off between the precision of a trajectory observable and entropy production, where the uncertainty of the observable is quantified by its variance. In information theory,…

Statistical Mechanics · Physics 2025-11-25 Yoshihiko Hasegawa , Tomohiro Nishiyama

The procedure of maximization of information entropy can be used to improve our knowledge of parton distributions. This method has been applied in order to achieve improved description of the nuclear effect in Y production due to gluon…

Nuclear Theory · Physics 2007-05-23 Athanasios N. Petridis

A measurement of inclusive semileptonic branching fractions of b hadrons produced in Z decays is presented. An enriched Z -> bbbar sample is obtained with a lifetime flavour-tagging technique. The leptonic events are then selected from this…

High Energy Physics - Experiment · Physics 2008-11-07 The OPAL Collaboration , G. Abbiendi et al

We present graphs of information versus disturbance for general quantum measurements of completely unknown states. Each piece of information and disturbance is quantified by two measures: (i) the Shannon entropy and estimation fidelity for…

Quantum Physics · Physics 2017-08-31 Hiroaki Terashima

We introduce a binary relation on the finite discrete probability distributions which generalizes notions of majorization that have been studied in quantum information theory. Motivated by questions in thermodynamics, our relation describes…

Information Theory · Computer Science 2016-04-12 Markus P. Mueller , Michele Pastena

The isoscaling and the isobaric yield ratio difference (IBD) probes, which both are constructed by yield ratio of fragment, provide cancelation of parameters. The information entropy theory is introduced to explain the physical meaning of…

Nuclear Theory · Physics 2015-06-22 Chun-Wang Ma , Hui-Ling Wei

A measurement performed on a quantum system is an act of gaining information about its state, a view that is widespread in practical and foundational work in quantum theory. However, the concept of information in quantum theory…

Quantum Physics · Physics 2025-12-23 Yang Yu , Philip Goyal

Shannon entropy ($S$), Fisher information ($I$) and a measure equivalent to Fisher-Shannon complexity $(C_{IS})$ of a ro-vibrational state of diatomic molecules (O$_2$, O$_2^+$, NO, NO$^+$) with generalized Kratzer potential is analyzed.…

Quantum Physics · Physics 2019-04-15 Sangita Majumdar , Neetik Mukherjee , Amlan K. Roy

The branching fractions of the decay $B^{+} \to p \bar p K^{+}$ for different intermediate states are measured using data, corresponding to an integrated luminosity of $1.0 fb^{-1}$, collected by the LHCb experiment. The total branching…

High Energy Physics - Experiment · Physics 2016-08-11 LHCb collaboration , R. Aaij , C. Abellan Beteta , A. Adametz , B. Adeva , M. Adinolfi , C. Adrover , A. Affolder , Z. Ajaltouni , J. Albrecht , F. Alessio , M. Alexander , S. Ali , G. Alkhazov , P. Alvarez Cartelle , A. A. Alves , S. Amato , Y. Amhis , L. Anderlini , J. Anderson , R. Andreassen , R. B. Appleby , O. Aquines Gutierrez , F. Archilli , A. Artamonov , M. Artuso , E. Aslanides , G. Auriemma , S. Bachmann , J. J. Back , C. Baesso , V. Balagura , W. Baldini , R. J. Barlow , C. Barschel , S. Barsuk , W. Barter , Th. Bauer , A. Bay , J. Beddow , I. Bediaga , S. Belogurov , K. Belous , I. Belyaev , E. Ben-Haim , M. Benayoun , G. Bencivenni , S. Benson , J. Benton , A. Berezhnoy , R. Bernet , M. -O. Bettler , M. van Beuzekom , A. Bien , S. Bifani , T. Bird , A. Bizzeti , P. M. Bjørnstad , T. Blake , F. Blanc , C. Blanks , J. Blouw , S. Blusk , A. Bobrov , V. Bocci , A. Bondar , N. Bondar , W. Bonivento , S. Borghi , A. Borgia , T. J. V. Bowcock , E. Bowen , C. Bozzi , T. Brambach , J. van den Brand , J. Bressieux , D. Brett , M. Britsch , T. Britton , N. H. Brook , H. Brown , I. Burducea , A. Bursche , J. Buytaert , S. Cadeddu , O. Callot , M. Calvi , M. Calvo Gomez , A. Camboni , P. Campana , A. Carbone , G. Carboni , R. Cardinale , A. Cardini , H. Carranza-Mejia , L. Carson , K. Carvalho Akiba , G. Casse , M. Cattaneo , Ch. Cauet , M. Charles , Ph. Charpentier , P. Chen , N. Chiapolini , M. Chrzaszcz , K. Ciba , X. Cid Vidal , G. Ciezarek , P. E. L. Clarke , M. Clemencic , H. V. Cliff , J. Closier , C. Coca , V. Coco , J. Cogan , E. Cogneras , P. Collins , A. Comerma-Montells , A. Contu , A. Cook , M. Coombes , S. Coquereau , G. Corti , B. Couturier , G. A. Cowan , D. Craik , S. Cunliffe , R. Currie , C. D'Ambrosio , P. David , P. N. Y. David , I. De Bonis , K. De Bruyn , S. De Capua , M. De Cian , J. M. De Miranda , L. De Paula , W. De Silva , P. De Simone , D. Decamp , M. Deckenhoff , H. Degaudenzi , L. Del Buono , C. Deplano , D. Derkach , O. Deschamps , F. Dettori , A. Di Canto , J. Dickens , H. Dijkstra , M. Dogaru , F. Domingo Bonal , S. Donleavy , F. Dordei , A. Dosil Suárez , D. Dossett , A. Dovbnya , F. Dupertuis , R. Dzhelyadin , A. Dziurda , A. Dzyuba , S. Easo , U. Egede , V. Egorychev , S. Eidelman , D. van Eijk , S. Eisenhardt , U. Eitschberger , R. Ekelhof , L. Eklund , I. El Rifai , Ch. Elsasser , D. Elsby , A. Falabella , C. Färber , G. Fardell , C. Farinelli , S. Farry , V. Fave , D. Ferguson , V. Fernandez Albor , F. Ferreira Rodrigues , M. Ferro-Luzzi , S. Filippov , C. Fitzpatrick , M. Fontana , F. Fontanelli , R. Forty , O. Francisco , M. Frank , C. Frei , M. Frosini , S. Furcas , E. Furfaro , A. Gallas Torreira , D. Galli , M. Gandelman , P. Gandini , Y. Gao , J. Garofoli , P. Garosi , J. Garra Tico , L. Garrido , C. Gaspar , R. Gauld , E. Gersabeck , M. Gersabeck , T. Gershon , Ph. Ghez , V. Gibson , V. V. Gligorov , C. Göbel , D. Golubkov , A. Golutvin , A. Gomes , H. Gordon , M. Grabalosa Gándara , R. Graciani Diaz , L. A. Granado Cardoso , E. Graugés , G. Graziani , A. Grecu , E. Greening , S. Gregson , O. Grünberg , B. Gui , E. Gushchin , Yu. Guz , T. Gys , C. Hadjivasiliou , G. Haefeli , C. Haen , S. C. Haines , S. Hall , T. Hampson , S. Hansmann-Menzemer , N. Harnew , S. T. Harnew , J. Harrison , P. F. Harrison , T. Hartmann , J. He , V. Heijne , K. Hennessy , P. Henrard , J. A. Hernando Morata , E. van Herwijnen , E. Hicks , D. Hill , M. Hoballah , C. Hombach , P. Hopchev , W. Hulsbergen , P. Hunt , T. Huse , N. Hussain , D. Hutchcroft , D. Hynds , V. Iakovenko , P. Ilten , R. Jacobsson , A. Jaeger , E. Jans , F. Jansen , P. Jaton , F. Jing , M. John , D. Johnson , C. R. Jones , B. Jost , M. Kaballo , S. Kandybei , M. Karacson , T. M. Karbach , I. R. Kenyon , U. Kerzel , T. Ketel , A. Keune , B. Khanji , O. Kochebina , I. Komarov , R. F. Koopman , P. Koppenburg , M. Korolev , A. Kozlinskiy , L. Kravchuk , K. Kreplin , M. Kreps , G. Krocker , P. Krokovny , F. Kruse , M. Kucharczyk , V. Kudryavtsev , T. Kvaratskheliya , V. N. La Thi , D. Lacarrere , G. Lafferty , A. Lai , D. Lambert , R. W. Lambert , E. Lanciotti , G. Lanfranchi , C. Langenbruch , T. Latham , C. Lazzeroni , R. Le Gac , J. van Leerdam , J. -P. Lees , R. Lefèvre , A. Leflat , J. Lefrançois , O. Leroy , Y. Li , L. Li Gioi , M. Liles , R. Lindner , C. Linn , B. Liu , G. Liu , J. von Loeben , J. H. Lopes , E. Lopez Asamar , N. Lopez-March , H. Lu , J. Luisier , H. Luo , F. Machefert , I. V. Machikhiliyan , F. Maciuc , O. Maev , S. Malde , G. Manca , G. Mancinelli , N. Mangiafave , U. Marconi , R. Märki , J. Marks , G. Martellotti , A. Martens , L. Martin , A. Martín Sánchez , M. Martinelli , D. Martinez Santos , D. Martins Tostes , A. Massafferri , R. Matev , Z. Mathe , C. Matteuzzi , M. Matveev , E. Maurice , A. Mazurov , J. McCarthy , R. McNulty , B. Meadows , F. Meier , M. Meissner , M. Merk , D. A. Milanes , M. -N. Minard , J. Molina Rodriguez , S. Monteil , D. Moran , P. Morawski , R. Mountain , I. Mous , F. Muheim , K. Müller , R. Muresan , B. Muryn , B. Muster , P. Naik , T. Nakada , R. Nandakumar , I. Nasteva , M. Needham , N. Neufeld , A. D. Nguyen , T. D. Nguyen , C. Nguyen-Mau , M. Nicol , V. Niess , R. Niet , N. Nikitin , T. Nikodem , S. Nisar , A. Nomerotski , A. Novoselov , A. Oblakowska-Mucha , V. Obraztsov , S. Oggero , S. Ogilvy , O. Okhrimenko , R. Oldeman , M. Orlandea , J. M. Otalora Goicochea , P. Owen , B. K. Pal , A. Palano , M. Palutan , J. Panman , A. Papanestis , M. Pappagallo , C. Parkes , C. J. Parkinson , G. Passaleva , G. D. Patel , M. Patel , G. N. Patrick , C. Patrignani , C. Pavel-Nicorescu , A. Pazos Alvarez , A. Pellegrino , G. Penso , M. Pepe Altarelli , S. Perazzini , D. L. Perego , E. Perez Trigo , A. Pérez-Calero Yzquierdo , P. Perret , M. Perrin-Terrin , G. Pessina , K. Petridis , A. Petrolini , A. Phan , E. Picatoste Olloqui , B. Pietrzyk , T. Pilař , D. Pinci , S. Playfer , M. Plo Casasus , F. Polci , G. Polok , A. Poluektov , E. Polycarpo , D. Popov , B. Popovici , C. Potterat , A. Powell , J. Prisciandaro , V. Pugatch , A. Puig Navarro , W. Qian , J. H. Rademacker , B. Rakotomiaramanana , M. S. Rangel , I. Raniuk , N. Rauschmayr , G. Raven , S. Redford , M. M. Reid , A. C. dos Reis , S. Ricciardi , A. Richards , K. Rinnert , V. Rives Molina , D. A. Roa Romero , P. Robbe , E. Rodrigues , P. Rodriguez Perez , G. J. Rogers , S. Roiser , V. Romanovsky , A. Romero Vidal , J. Rouvinet , T. Ruf , H. Ruiz , G. Sabatino , J. J. Saborido Silva , N. Sagidova , P. Sail , B. Saitta , C. Salzmann , B. Sanmartin Sedes , M. Sannino , R. Santacesaria , C. Santamarina Rios , E. Santovetti , M. Sapunov , A. Sarti , C. Satriano , A. Satta , M. Savrie , D. Savrina , P. Schaack , M. Schiller , H. Schindler , S. Schleich , M. Schlupp , M. Schmelling , B. Schmidt , O. Schneider , A. Schopper , M. -H. Schune , R. Schwemmer , B. Sciascia , A. Sciubba , M. 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Vazquez Regueiro , S. Vecchi , J. J. Velthuis , M. Veltri , G. Veneziano , M. Vesterinen , B. Viaud , D. Vieira , X. Vilasis-Cardona , A. Vollhardt , D. Volyanskyy , D. Voong , A. Vorobyev , V. Vorobyev , C. Voß , H. Voss , R. Waldi , R. Wallace , S. Wandernoth , J. Wang , D. R. Ward , N. K. Watson , A. D. Webber , D. Websdale , M. Whitehead , J. Wicht , J. Wiechczynski , D. Wiedner , L. Wiggers , G. Wilkinson , M. P. Williams , M. Williams , F. F. Wilson , J. Wishahi , M. Witek , S. A. Wotton , S. Wright , S. Wu , K. Wyllie , Y. Xie , F. Xing , Z. Xing , Z. Yang , R. Young , X. Yuan , O. Yushchenko , M. Zangoli , M. Zavertyaev , F. Zhang , L. Zhang , W. C. Zhang , Y. Zhang , A. Zhelezov , L. Zhong , A. Zvyagin

We have presented a new axiomatic derivation of Shannon Entropy for a discrete probability distribution on the basis of the postulates of additivity and concavity of the entropy function.We have then modified shannon entropy to take account…

Quantum Physics · Physics 2007-05-23 C. G. Chakrabarti , Indranil Chakrabarty

Total entropy generated by the Unruh effect is calculated within the framework of information theory. In contrast to previous studies, here the calculations are done for the finite time of existence of the non-inertial reference frame. In…

High Energy Physics - Theory · Physics 2022-06-01 M. V. Teslyk , O. M. Teslyk , L. V. Zadorozhna , L. Bravina , E. Zabrodin

Shannon entropy in position ($S_{\rvec}$) and momentum ($S_{\pvec}$) spaces, along with their sum ($S_t$) are presented for unit-normalized densities of He, Li$^+$ and Be$^{2+}$ ions, spatially confined at the center of an impenetrable…

Quantum Physics · Physics 2021-03-01 Sangita Majumdar , Amlan K. Roy

Regularized quantum information metrics are calculated for the scattering process $e^-e^+ \rightarrow \gamma,Z\rightarrow \mu^-\mu^+$ that has a witness photon entangled with the initial electron-positron state. Unitarity implies the…

High Energy Physics - Theory · Physics 2024-11-06 Shanmuka Shivashankara , Grace Gogliettino

We investigate the quantum information by a theoretical measurement approach of an Aharanov-Bohm (AB) ring with Yukawa interaction in curved space with disclination. It obtained the so-called Shannon entropy, through the eigenfunctions of…

Quantum Physics · Physics 2022-08-17 C. O. Edet , F. C. E. Lima , C. A. S. Almeida , N. Ali , M. Asjad

Shannon's information entropy measures of the uncertainty of an event's outcome. If learning about a system reflects a decrease in uncertainty, then a plausible intuition is that learning should be accompanied by a decrease in the entropy…

Robotics · Computer Science 2015-02-20 Paul E. Smaldino

Many of the traditional results in information theory, such as the channel coding theorem or the source coding theorem, are restricted to scenarios where the underlying resources are independent and identically distributed (i.i.d.) over a…

Quantum Physics · Physics 2009-06-28 Nilanjana Datta , Renato Renner

In this work, we derive information-theoretic properties for a modified Tsallis entropy, hereinafter referred to as q-entropy. We introduce the notions of joint q-entropy, conditional q-entropy, relative q-entropy, conditional mutual…

Mathematical Physics · Physics 2026-03-31 Marco A. S. Trindade

A combined mass and particle identification fit is used to make the first observation of the decay Bs --> Ds K and measure the branching fraction of Bs --> Ds K relative to Bs --> Ds pi. This analysis uses 1.2 fb^-1 integrated luminosity of…

High Energy Physics - Experiment · Physics 2010-05-12 CDF Collaboration , A. Abulencia

Feedback control uses the state information of the system to actuate on it. The information used implies an effective entropy reduction of the controlled system, potentially increasing its performance. How to compute this entropy reduction…

Statistical Mechanics · Physics 2023-10-12 Natalia Ruiz-Pino , Daniel Villarubia-Moreno , Antonio Prados , Francisco J. Cao-García