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We show that entirely quantum Shannon theoretic methods, based on von Neumann entropies and their properties, can be used to derive Singleton bounds on the performance of entanglement-assisted hybrid classical-quantum (EACQ) error…

Quantum Physics · Physics 2024-09-25 Manideep Mamindlapally , Andreas Winter

The universal genetic code presents a fundamental paradox in molecular biology. Recent advances in synthetic biology have demonstrated that the code is remarkably flexible--organisms can survive with 61 codons instead of 64, natural…

Populations and Evolution · Quantitative Biology 2025-07-03 Marc Bara Iniesta

A nucleotides sequence is identified, in the two (four) letters alphabet, by the the labels of a vector state of an irreducible representation of U_q(sl(2)) (U_q(sl(2) + sl(2))), in the limit q -> 0. A master equation for the distribution…

Biomolecules · Quantitative Biology 2007-05-23 C. Minichini , A. Sciarrino

The fourth-order correlations of conserved charges, such as the baryon number, electric charge, and strangeness, are studied at finite temperature and nonzero baryon chemical potential in an effective model. It is found that the…

High Energy Physics - Phenomenology · Physics 2015-03-17 Wei-jie Fu , Yue-liang Wu

Statistical models and information theory have provided a useful set of tools for studying music from a quantitative perspective. These approaches have been employed to generate compositions, analyze structural patterns, and model cognitive…

Physics and Society · Physics 2025-09-30 Linus Chen-Plotkin , Suman S. Kulkarni , Dani S. Bassett

We present a numerical study of the application of the Shannon entropy technique to the planar restricted three-body problem in the vicinity of first-order interior mean-motion resonances with the perturber. We estimate the diffusion…

Chaotic Dynamics · Physics 2020-01-08 C. Beaugé , P. M. Cincotta

We study the relationship between the electronic spectrum structure and the configurational order of one-dimensional quasiperiodic systems. We take the Fibonacci case as an specific example, but the ideas outlined here may be useful to…

Condensed Matter · Physics 2009-10-22 Enrique Macia , Francisco Dominguez-Adame , Angel Sanchez

Coding information is the main source of heterogeneity (non-randomness) in the sequences of bacterial genomes. This information can be naturally modeled by analysing cluster structures in the "in-phase" triplet distributions of relatively…

Genomics · Quantitative Biology 2011-11-09 A. N. Gorban , T. G. Popova , A. Yu. Zinovyev

The Dissertation is focused on the studies of associations between functional elements in human genome and their nucleotide structure. The asymmetry in nucleotide content (skew, bias) was chosen as the main feature for nucleotide structure.…

Genomics · Quantitative Biology 2011-01-04 Diana Duplij

The modification of acoustic phonons in semiconductor nanostructures embedded in a host crystal is investigated including corrections due to strain within continuum elasticity theory. Effective elastic constants are calculated employing…

Materials Science · Physics 2009-11-11 Frank Grosse , Roland Zimmermann

The large variations of T$_c$ across the cuprate families is one of the major unsolved puzzles in condensed matter physics, and is poorly understood. Although there appears to be a great deal of universality in the cuprates, several orders…

Superconductivity · Physics 2010-08-23 S. Johnston , F. Vernay , B. Moritz , Z. -X. Shen , N. Nagaosa , J. Zaanen , T. P. Devereaux

Background: A partially random target selection method was developed to design and produce affinity reagents (target) to any protein query. It is based on the recent concept of Proteomic Code (for review see Biro, 2007 [1]) which suggests…

Quantitative Methods · Quantitative Biology 2008-07-22 Jan C Biro

Many modified genetic codes are found in specific genomes in which one or more codons have been reassigned to a different amino acid from that in the canonical code. We present a model that unifies four possible mechanisms for reassignment,…

Populations and Evolution · Quantitative Biology 2007-07-17 Supratim Sengupta , Paul G. Higgs

The periodic transference of nucleotide strings in bacterial and archaeal complete genomes is investigated by using the metric representation and the recurrence plot method. The generated periodic correlation structures exhibit four kinds…

Genomics · Quantitative Biology 2013-03-01 Zuo-Bing Wu

It is hypothesised that the avian compass relies on spin dynamics in a recombining radical pair. Quantum coherence has been suggested as a resource to this process that nature may utilise to achieve increased compass sensitivity. To date,…

Biological Physics · Physics 2022-06-22 Luke D. Smith , Jean Deviers , Daniel R. Kattnig

Physical mechanisms underlying the empirical correlation between relative contact order (CO) and folding rate among naturally-occurring small single-domain proteins are investigated by evaluating postulated interaction schemes for a set of…

Statistical Mechanics · Physics 2007-05-23 Huseyin Kaya , Hue Sun Chan

Information has an entropic character which can be analyzed within the Statistical Theory in molecular systems. R. Landauer and C.H. Bennett showed that a logical copy can be carried out in the limit of no dissipation if the computation is…

Biological Physics · Physics 2012-08-15 J. Ricardo Arias-Gonzalez

Degeneracy is a salient feature of genetic codes, because there are more codons than amino acids. The conventional table for genetic codes suffers from an inability of illustrating a symmetrical nature among genetic base codes. In fact,…

Other Quantitative Biology · Quantitative Biology 2017-03-13 Jian-Jun Shu

It has been proposed that the degeneracy of the genetic code,i.e., the phenomenon that different codons (base triplets) of DNA are transcribed into the same amino acid, may be interpreted as the result of a symmetry breaking process. In the…

Mathematical Physics · Physics 2007-05-23 F. M. Forger , R. S. Sachse

The genetic code refers to a rule that maps 64 codons to 20 amino acids. Nearly all organisms, with few exceptions, share the same genetic code, the standard genetic code (SGC). While it remains unclear why this universal code has arisen…

Populations and Evolution · Quantitative Biology 2023-05-10 Yuji Omachi , Nen Saito , Chikara Furusawa
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