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S. Mayburov

Publications and source records attributed to S. Mayburov.

At least 19 recordsLinked to original sources
arXiv2010

Information Constraints in Quantum Measurements and State Collapse

Quantum-mechanical constraints on information transfer in measuring systems and their influence on measurement results studied. As the example, measurement of binary observable $S_z$ of object $\cal S$ by measuring apparatus $\cal A$ considered. It's shown that during the measurement these constraints obstacle the acquisition of information by $\cal A$, characterizing purity of $\cal S$ ensemble. Due to it, $\cal A$ can't discriminate pure and mixed $\cal S$ ensembles with the same $S_z$ expectation value. In algebraic measurement ansatz by Emch such information loss results in stochastic $S_z$ measurement outcomes for pure $\cal S$ ensemble, their probabilities obey to Born postulate, i.e. it corresponds to quantum state collapse. Account of $\cal A$ state decoherence doesn't change obtained results principally.

quant-ph↗
arXiv2009

Influence of Protein Electromagnetic Field on Hydrogen Bonding

The quantum-mechanical mechanisms by which the enzymes catalyze the hydrogen transfer in biochemical reactions are considered. Up to date it was established both experimentally and theoretically that in many cases the proton tunnelling through the intermolecular potential barrier is essential. We argue that in this case the enzyme excitation and internal motion facilitate proton transfer between reactants by squeezing the potential barrier which otherwise is practically impenetrable. In the similar fashion, the enzymes can facilitate the formation of hydrogen (H) bonds between the molecules. By means of barrier squeezing, the enzymes not only facilitate such reactions but also can control their rate and their final outcome, depending of enzyme excitation. In particular, such effects can play the major role in DNA polymerization reactions where preliminary DNTP selection is quite important.

q-bio.BM↗
arXiv2009

Coherent and Noncoherent Photonic Communications in Biological Systems

The possible mechanisms of communications between distant bio-systems by means of optical and UV photons are studied. It is argued that their main production mechanism is owed to the biochemical reactions, occurring during the cell division.. In the proposed model the bio-systems perform such communications, radiating the photons in form of short periodic bursts, which were observed experimentally for fish and frog eggs1. For experimentally measured photon rates the communication algorithm is supposedly similar to the exchange of binary encoded data in computer net via optical channels

q-bio.OT↗
arXiv2008

Quantum Information and Wave function Collapse

Inofrmation-theoretical restrictions on information transferred in the measurement of object S by information system O are studied. It is shown that such constraints, induced by Heisenberg commutation relations, result in the loss of information about the purity of S state. Consequently, it becomes impossible for O to discriminate pure and mixed S states. In individual events this effect is manifested by the stochastic outcomes of pure S state measurement, i.e. the collapse of pure S state.

quant-ph↗
arXiv2007

Restrictions on Information Transfer in Quantum Measurements and State Collapse

Information-theoretical restrictions on the information transfer in quantum measurements are studied. They are derived for the measurement of system S by detector D, registrated and processed by information system O. The formalism of inference maps in Hilbert space is used for it; it permit to calculate O restricted state which contains available for O information on S parameters. It's shown that the principal information losses, inevitable in this formalism and induced by Heisenberg commutation relations, stipulate the stochasticity of measurement outcomes, registrated by O in the individual events.

quant-ph↗
arXiv2006

Quantum Effects and Genetics Code: Dynamics and Information Transfer in DNA Replication

The possible role of quantum effects in transfer of genetic information is studied. It's argued that the nucleotides selection during DNA replication is performed by means of proton tunneling between nucleotide and DNA-polimerase bound by hydrogen bonds. Such mechanism is sensitive to the structure of nucleotide hydrogen bonds, consequently only one nucleotide sort is captured by DNA-polimerase in each event.The algorithm of this multistep selection mechanism is also analysed from the point of its optimality. It's shown that it's equivalent to Grover algorithm of data base search.

q-bio.OT↗
arXiv2006

Fuzzy Space-Time and Phase Space Structure as approach to Nonrelativistic Quantization

Quantum Space-Time and Phase Space with fuzzy geometric structure are studied as possible formalism for quantization of massive particles and fields. In this approach the state of nonrelativistic particle m described by the fuzzy point of fuzzy (weakly) ordered Manifold X. Due to m partial ordering in X m coordinate x principal uncertainty is generic in this ansatz. It's shown that in 1+1 dimension such Fuzzy Mechanics (FM) is equivalent to Path Integral formalism of Quantum Mechanics (QM).

quant-ph↗
arXiv2004

Information Systems Self-description and Quantum Measurement Problem

Information-Theoretical restrictions on the systems self-descriptions are applied to Quantum Measurements Theory. For the quantum object S measurement by information system O such restrictions are described by the restricted states formalism by Breuer. The analogous restrictions obtained in Algebraic QM from the analysis of Segal algebra U of O observables; O restricted states set is defined as U dual space. From Segal theorem for the associative subalgebra it's shown that such states describe the random pointer outcomes observed by O in the individual events.

quant-ph↗
arXiv2004

Quantum Measurements and Information Restrictions in Algebraic QM

It's argued that Information-Theoretical restrictions for the systems selfdescription are important for Quantum Measurement Problem. They are described by O information system restricted states R formalism by Breuer and can be obtained also in Algebraic QM considering Segal Algebra of O observables. From Segal theorem it's shown that R describes the random measurement outcomes in the individual events.

quant-ph↗
arXiv2002

Quantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism

Quantum Measurement problem studied in Information Theory approach of systems selfdescription which exploits the information acquisition incompleteness for the arbitrary information system. The studied model of measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ considered as the quantum object which interaction with S,E obeys to Schrodinger equation (SE). MS incomplete or restricted states for $O$ derived by the algebraic QM formalism which exploits Segal and $C^*$-algebras. From Segal theorem for systems subalgebras it's shown that such restricted states $V^O=|O_j> < O_j|$ describes the classical random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. The 'preferred' basis $|O_j>$ defined by $O$ state decoherence via $O$ - E interactions.

quant-ph↗
arXiv2002

Fuzzy Phase Space Structure as Approach to Quantization

Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's $m$ state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate $x$ acquires principal uncertainty $σ_x$. It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states.

hep-th↗
arXiv2002

Quantum Measurement Problem, Decoherence, and Quantum Systems Selfdescription

Quantum Measurements regarded in Systems Selfdescription framework for measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ regarded as quantum object which interaction with S,E obeys to Schrodinger equation (SE) and from it and Breuer selfdescription formalism S information for $O$ reconstructed. In particular S state collapse obtained if $O$ selfdescription state has the dual structure $L_T=\cal H \bigotimes L_V$ where $\cal H$ is Hilbert space of MS states $Ψ_{MS}$. $\cal L_V$ is the set with elements $V^O=|O_j> < O_j|$ describing random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. The 'preferred' basis $|O_j>$ defined by $O$ state decoherence via $O$ - E interactions. Zurek's Existential Interpretation discussed in selfmeasurement framework.

quant-ph↗
arXiv2000

Quantum Space-Time and Reference Frames in Gravity and Flat Space-Time

The quantum space-time model which accounts material Reference Frames (RF) quantum effects considered for flat space-time and ADM canonical gravity. As was shown by Aharonov for RF - free material object its c.m. nonrelativistic motion in vacuum described by Schrodinger wave packet evolution which modify space coordinate operator of test particle in this RF and changes its Heisenberg uncertainty relations. In the relativistic case we show that Lorentz transformations between two RFs include the quantum corrections for RFs momentum uncertainty and in general can be formulated as the quantum space-time transformations. As the result for moving RF its Lorentz time boost acquires quantum fluctuations which calculated solving relativistic Heisenberg equations for the quantum clocks models. It permits to calculate RF proper time for the arbitrary RF quantum motion including quantum gravity metrics fluctuations. Space-time structure of canonical Quantum Gravity and its observables evolution for RF proper time discussed in this quantum space-time transformations framework.

hep-th↗
arXiv2000

Relational Quantum Measurements, Information and State Collapse

The quantum measurement problem considered for measuring system (MS) consist of measured state S (particle), detector D and information processing device (observer) O. It's shown that O states selfreference structure results in principal nonobservability of MS interference terms which discriminate pure and mixed S states. Such observables restriction permit to construct for MS states subjective representation (SR) which describes probabilistic evolution for measurement events observed by $O$ and his subjective information about S values. SR is dual and nonequivalent to MS Hilbert space $H$ for external observer $O'$. Due to it SR evolution is compatible with Schrodinger linear MS evolution observed by $O'$. It's argued that SR evolution corresponds to S state collapse for individual events observed by $O$.

quant-ph↗
arXiv1999

Quantum Information, Irreversibility and State Collapse in Some Microscopic Models of Measurement

The quantum measurement problem considered for measuring system (MS) model which consist of measured state S (particle), detector D and information processing device O. For spin chains and other O models the state evolution for MS observables measurements studied. It's shown that specific O states structure forbids the measurement of MS interference terms which discriminate pure and mixed S states. It results in the reduction MS Hilbert space to O representation in which MS evolution is irreversible, which in operational formalism corresponds to S state collapse. In radiation decoherence O model Glauber restrictions on QED field observables results in analogous irreversible MS + field evolution. The results interpretation in Quantum Information framework and Rovelli Relational Quantum Mechanics discussed.

quant-ph↗
arXiv1999

Quantum Space-Time and Reference Frames in ADM Canonical Gravity

The quantum space-time model which accounts material Reference Frames (RF) quantum effects considered for flat space-time and ADM canonical gravity. As was shown by Aharonov for RF - free material object its c.m. nonrelativistic motion in vacuum described by Schrodinger wave packet evolution which modify space coordinate operator of test particle in this RF and changes its Heisenberg uncertainty relations. In the relativistic case we show that Lorentz transformations between two RFs include the quantum corrections for RFs momentum uncertainty and in general can be formulated as the quantum space-time transformations. As the result for moving RF its Lorentz time boost acquires quantum fluctuations which calculated solving relativistic Heisenberg equations for the quantum clocks models. It permits to calculate RF proper time for the arbitrary RF quantum motion including quantum gravity metrics fluctuations. Space-time structure of canonical Quantum Gravity and its observables evolution for RF proper time discussed in this quantum space-time transformations framework.

gr-qc↗
arXiv1998

Quantum Reference Frames and Relativistic Time Operator

Aharonov-Kaufherr model of quantum space-time which accounts Reference Frames (RF) quantum effects is considered in Relativistic Quantum Mechanics framework. For RF connected with some macroscopic object its free quantum motion - wave packet smearing results in additional uncertainty of test particle coordinate. Due to the same effects the use of Galilean or Lorentz transformations for this RFs becomes incorrect and the special quantum space-time transformations are introduced. In particular for any RF the proper time becomes the operator in other RF. This time operator calculated solving relativistic Heisenberg equations for some quantum clocks models. Generalized Klein- Gordon equation proposed which depends on both the particle and RF masses.

quant-ph↗