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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, $C_{ea}/C=1$.
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
Chernyshov D., Satanin A., Shchur L., / Series arXiv "math". 2025.
We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with phase-shifted secondary kicks. Lyapunov maps were computed across the parameter space (K,K(α, τ)) and used to train a convolutional neural network (ResNet18) for binary classification of dynamical regimes. The model reproduces the known critical ...
Added: November 21, 2025
Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.
The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...
Added: November 9, 2025
Meshchaninov V., Strashnov, P., Shevtsov A. et al., / Cornell University. Серия CoRR, arXiv:2403.03726 "Computing Research Repository,". 2025.
Protein design requires a deep understanding of the inherent complexities of the protein universe. While many efforts lean towards conditional generation or focus on specific families of proteins, the foundational task of unconditional generation remains underexplored and undervalued. Here, we explore this pivotal domain, introducing DiMA, a model that leverages continuous diffusion on embeddings derived ...
Added: October 5, 2025
Shabalin A., Meshchaninov V., Vetrov D., / Series cs.CL, arXiv:2505.18853 "Computation and Language". 2025.
Diffusion models have achieved state-of-the-art performance in generating images, audio, and video, but their adaptation to text remains challenging due to its discrete nature. Prior approaches either apply Gaussian diffusion in continuous latent spaces, which inherits semantic structure but struggles with token decoding, or operate in categorical simplex space, which respect discreteness but disregard semantic ...
Added: October 5, 2025
Абрамов А. С., Chernyshev V. L., Mikhaylets E. et al., / Series Social Science Research Network "Social Science Research Network". 2025.
Computer vision is one of the most relevant modern research areas with broad practical applications. However, traditional solutions based on deep learning have signicant limitations and can be misleading. Topological data analysis, on the other hand, is a modern approach to solving similar problems using mathematically deterministic methods of algebraic topology that reduce the risk ...
Added: September 23, 2025
Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 07600.
We demonstrate in an elementary way how to construct a frieze pattern of width m-3 from a partition of a convex m-gon
by not intersecting diagonals. ...
Added: September 17, 2025
Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 20584.
We give a new proof of the following statement: the Catalan number C_n is divisible
by n+2, if n is odd and n<> 3k+1. ...
Added: September 9, 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