?
Information capacities of quantum measurement channels
Physica Scripta. 2013. Vol. T153. P. 014034.
Holevo A.S.
We study the relation between the unassisted and entanglement-assisted classical capacities $C,C_{ea}$ of entanglement-breaking channels. We argue that the gain of entanglement assistance $C_{ea}/C>1$ generically for measurement channels with \emph{unsharp} observables; in particular for the measurements with pure posterior states the information loss in the entanglement-assisted protocol is zero, resulting in arbitrarily large gain for very noisy or weak signal channels. This is illustrated by examples of continuous observables corresponding to state tomography in finite dimensions and heterodyne measurement. On the contrary, state preparations are characterized by the property of having \emph{no gain} of entanglement assistance, $C_{ea}/C=1$.
Shabanov N., Kuricheva O., Kurbatova J. et al., / Series Working Papers SSRN "Department of Economics Ca’ Foscari University of Venice". 2026.
The carbon balance of an ecosystem is the difference between Gross Primary Productivity (GPP) and Ecosystem Respiration (Reco) as expressed by Net Ecosystem Exchange (NEE). While remote sensing retrievals of GPP have reached maturity, Reco estimation remains underexplored and ultimately cast bias on NEE. Here we present an end-to-end multi-scale analysis of the mechanism of ...
Added: August 21, 2026
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026
Piontkovski D., / Series arXiv "math". 2026.
A noncommutative projective variety is defined, following Artin and Zhang, by a graded coherent algebra 𝐴. The category of coherent sheaves is then the quotient qgr(𝐴) of the category of finitely presented graded modules by the subcategory of torsion modules. We consider the categorical and polynomial entropies of the Serre twist, that is, of the ...
Added: June 23, 2026
Piontkovski D., / Series arXiv "math". 2025.
If a symmetric multilinear algebra is weakly nil, then it is Engel. This result may be regarded as an infinite-dimensional analogue of the well-known Jacobian theorem, which states that if a polynomial mapping has a polynomial inverse, then its Jacobian matrix is invertible. This refines a theorem of Gerstenhaber and partially answers a question posed ...
Added: June 23, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.
Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...
Added: April 28, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.
Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...
Added: April 2, 2026
Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.
Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...
Added: January 15, 2026
Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.
Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...
Added: December 24, 2025
Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset
Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.
Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...
Added: December 1, 2025
Дыренков В. С., Шевель Н. М., Ivanov F. et al., Информационные процессы 2020 Т. 20 № 2 С. 133–141
In this paper, we consider a vector disjunctive channel in which users transmit some binary vectors of
length L. We estimate the capacity of this channel and derive a lower bound on this value. In addition, the
lower bound is calculated both for the case of the Bernoulli distribution and for an arbitrary distribution for
the case when ...
Added: October 6, 2020
Ivanov F., Rybin P., Afanassiev V. et al., , in: 2019 XVI International Symposium "Problems of Redundancy in Information and Control Systems" (REDUNDANCY).: IEEE, 2019. P. 27–31.
Added: March 17, 2020
Ivanov F., Kreshchuk A., Rybin P. et al., , in: The 11th International Congress on Ultra Modern Telecommunications and Control Systems (ICUMT 2019).: Dublin: IEEE, 2019. P. 1–5.
Added: October 1, 2019
Amosov G. G., Zhdanovskiy I., Mathematical notes 2016 Vol. 99 No. 5 P. 924–927
Shirokov [1] recently suggested a construction of a noncommutative operator graph, depending on
a complex parameter θ, which enables one to construct channels with positive quantum capacity for
which the n-shot capacity is zero. We study the algebraic structure of this graph. Relations for the
algebra generated by the graph are derived. In the limit case θ = ...
Added: September 21, 2016
Osipov D., , in: Proceedings of the 8th International Workshop, MACOM 2015, Helsinki, Finland, September 3-4, 2015,Vol. 9305.: Springer, 2015. P. 101–108.
In what follows an order-statistics based single user reception in a communication system operating under multiuser interference is considered. This paper deals with the problem of finding channel capacity of the channel corresponding to the system under consideration. ...
Added: August 28, 2015
Holevo A., Giovannetti V., Garcia-Patron R., Communications in Mathematical Physics 2015 Vol. 334 No. 3 P. 1553–1571
We give a survey of the two remarkable analytical problems of quantum information theory. The main part is a detailed report of the recent (partial) solution of the quantum Gaussian optimizers problem which establishes an optimal property of Glauber's coherent states -- a particular instance of pure quantum Gaussian states. We elaborate on the notion ...
Added: March 15, 2015
Karpenko I., , in: Следование правилу: рассуждение, разум, рациональность.: СПб.: Алетейя, 2014. P. 278–287.
The article looks at the possible role of measurement in a quantum-mechanical description of physical reality. The widely spread interpretations of quantum phenomena are considered as indicating an apparent connection between conscious processes (such as observation) and the properties of the microcosm. ...
Added: October 24, 2014
Karpenko I., Studia Humana 2014 Vol. 3 No. 3 P. 16–28
The article presents the possible role of consciousness in quantum-mechanical description of physical reality. The widely spread interpretations of quantum phenomena are considered as indicating the apparent connection between conscious processes (such as observation) and the properties of the microcosm. The reasons for discrepancies between the results of observations of the microcosm and macrocosm and ...
Added: October 24, 2014
Giovannetti V., Holevo A., Garcia-Patron R. et al., Nature Photonics 2014
Optical channels, such as fibers or free-space links, are ubiquitous in today's telecommunication networks. They rely on the electromagnetic field associated with photons to carry information from one point to another in space. As a result, a complete physical model of these channels must necessarily take quantum effects into account in order to determine their ...
Added: September 25, 2014
A. S. Holevo, Giovannetti V., Mari A., Nature Communication 2014 Vol. 5 P. 3826
We show that every output state of a phase insensitive bosonic Gaussian channel is majorized by the output of the channel applied to an arbitrary coherent state. The proof is based on the optimality of coherent states for the minimization of strictly concave output functionals. Moreover we show that coherent states are the unique optimizers. ...
Added: May 20, 2014
Karpenko I., Эпистемология и философия науки 2014 Т. XL № 2 С. 110–126
The article presents the possible role of measurement in quantum-mechanical description of physical reality. The widely spread interpretations of quantum phenomena are considered as indicating the apparent connection between conscious processes (such as observation) and the properties of the microcosm. The reasons for discrepancies between the results of observations of the microcosm and macrocosm and ...
Added: April 29, 2014
Holevo A., Giovannetti V., Reports on Progress in Physics 2012 Vol. 75 P. 046001
One of the major achievements of the recently emerged quantum information theory is the introduction and thorough investigation of the notion of quantum channel which is a basic building block of any data-transmitting or data-processing system. This development resulted in an elaborated structural theory and was accompanied by the discovery of a whole spectrum of ...
Added: February 27, 2014
A. S. Holevo, Berlin: De Gruyter, 2013.
The subject of this book is theory of quantum system presented from information science perspective. The central role is played by the concept of quantum channel and its entropic and information characteristics. Quantum information theory gives a key to understanding elusive phenomena of quantum world and provides a background for development of experimental techniques that ...
Added: February 27, 2014