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Living organisms are the most complex, interesting and significant objects regarding all substructures of the universe. Life science is regarded as a science of the 21st century and one can expect great new discoveries in the near futures.…

Other Quantitative Biology · Quantitative Biology 2009-11-23 Branko Dragovich

Biomolecules stochastically occupy different possible configurations with probabilities given by non-equilibrium steady-state distributions. These distributions are determined by the transition rate constants between different…

Biological Physics · Physics 2024-07-19 Easun Arunachalam , Milo M. Lin

The genetic code has a high level of error robustness. Using values of hydrophobicity scales as a proxy for amino acid character, and the Mean Square measure as a function quantifying error robustness, a value can be obtained for a genetic…

Populations and Evolution · Quantitative Biology 2013-09-19 Harry Buhrman , Peter T. S. van der Gulik , Gunnar W. Klau , Christian Schaffner , Dave Speijer , Leen Stougie

Classical information encoded in composite quantum states can be completely hidden from the reduced subsystems and may be found only in the correlations. Can the same be true for quantum information? If quantum information is hidden from…

Quantum Physics · Physics 2018-06-14 Kavan Modi , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

We discuss the similarity of the degeneration structure of the genetic code with a pure number theoretic -- ``divisors code.'' The most interesting thing about our observation is not that there is a connection between number theory and the…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Andrei Khrennikov , Marcus Nilsson

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…

Quantum Physics · Physics 2025-07-04 Paolo Ferro

This paper considers the realizability of quantum gates from the perspective of information complexity. Since the gate is a physical device that must be controlled classically, it is subject to random error. We define the complexity of gate…

Quantum Physics · Physics 2009-11-11 Subhash Kak

Alternative proofs for the superadditivity and the affinity (in the large system limit) of the usual and some fractional Fisher informations of a probability density of many variables are provided. They are consequences of the fact that…

Analysis of PDEs · Mathematics 2020-08-26 Nicolas Rougerie

We analytically model a one-dimensional lattice with periodic impurities representing a photonic crystal from first principles. We then investigate bound states in the continuum by computing the transmission and reflection coefficients. It…

Quantum Physics · Physics 2024-10-10 Benjamin Rempfer , Gonzalo Ordonez

A multiplicativity conjecture for quantum communication channels is formulated, validity of which for the values of parameter $p$ close to 1 is related to the solution of the fundamental problem of additivity of the channel capacity in…

Mathematical Physics · Physics 2007-05-23 G. G. Amosov , A. S. Holevo

The Partial Information Decomposition (PID) takes one step beyond Shannon's theory in decomposing the information two variables $A,B$ possess about a third variable $T$ into distinct parts: unique, shared (or redundant) and synergistic…

Quantum Physics · Physics 2023-11-27 S. J. van Enk

The quantum superposition principle is reconsidered based on adiabatic theorem of quantum mechanics, nonadiabatic dressed states and experimental evidence. The physical mechanism and physical properties of the quantum superposition are…

General Physics · Physics 2023-11-07 Ivan Georgiev Koprinkov

It is argued that the nature of probability is essentially informational rather than physical and that quantum mechanical predictions should be viewed as logical inferences made on the basis of the information content of a given…

Quantum Physics · Physics 2011-07-04 Mohammad Mehrafarin

Quantum information is defined by applying the concepts of ordinary (Shannon) information theory to a quantum sample space consisting of a single framework or consistent family. A classical analogy for a spin-half particle and other…

Quantum Physics · Physics 2009-11-07 Robert B. Griffiths

We show that for every qubit of quantum information, there is a well-defined notion of "the amount of energy that carries it", because it is a conserved quantity. This generalizes to larger systems and any conserved quantites: the…

High Energy Physics - Theory · Physics 2015-06-18 Irfan Ilgin , I-Sheng Yang

The key findings of classical population genetics are derived using a framework based on information theory using the entropies of the allele frequency distribution as a basis. The common results for drift, mutation, selection, and gene…

Populations and Evolution · Quantitative Biology 2012-06-11 Reginald D. Smith

In the context of evolutionary quantum computing in the literal meaning, a quantum crossover operation has not been introduced so far. Here, we introduce a novel quantum genetic algorithm which has a quantum crossover procedure performing…

Neural and Evolutionary Computing · Computer Science 2014-02-05 Akira SaiToh , Robabeh Rahimi , Mikio Nakahara

Quantum information scrambling (QIS) is a characteristic feature of several quantum systems, ranging from black holes to quantum communication networks. While accurately quantifying QIS is crucial to understanding many such phenomena,…

We present several results on quantum codes over general alphabets (that is, in which the fundamental units may have more than 2 states). In particular, we consider codes derived from finite symplectic geometry assumed to have additional…

Quantum Physics · Physics 2007-05-23 Eric M. Rains

This paper considers the problem of guessing the realization of a finite alphabet source when some side information is provided. The only knowledge the guesser has about the source and the correlated side information is that the joint…

Information Theory · Computer Science 2007-07-16 Rajesh Sundaresan
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