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We introduce Partially Coherent Direct Sum (PCDS) quantum channels, as a generalization of the already known Direct Sum quantum channels. We derive necessary and sufficient conditions to identify the subset of those maps which are…

量子物理 · 物理学 2021-07-21 Stefano Chessa , Vittorio Giovannetti

We present an efficient tensor-network based algorithm for finding the optimal adaptive quantum channel discrimination strategies inspired by recently developed numerical methods in quantum metrology to find the optimal adaptive channel…

量子物理 · 物理学 2026-02-11 Stanisław Sieniawski , Rafał Demkowicz-Dobrzański

The direct comparison of two different continuum discretization methods towards the solution of a composite particle scattering off a nucleus is presented. The first approach -- the Continumm-Discretized Coupled Channel method -- is based…

核理论 · 物理学 2008-11-26 O. A. Rubtsova , V. I. Kukulin , A. M. Moro

The dielectric properties of molecules or nanostructures are usually modified in a complex manner, when assembled into a condensed phase. We propose a first-principles method to compute polarizabilities of sub-entities of solids and…

化学物理 · 物理学 2018-09-10 Ding Pan , Marco Govoni , Giulia Galli

Many important properties of quantum channels are quantified by means of entropic functionals. Characteristics of such a kind are closely related to different representations of a quantum channel. In the Jamio{\l}kowski-Choi representation,…

量子物理 · 物理学 2013-07-23 Alexey E. Rastegin

The L\"uders rule provides a way to define a quantum channel given a quantum measurement. Using this construction, we establish an if-and-only-if condition for the existence of a $d$-dimensional Symmetric Informationally Complete quantum…

量子物理 · 物理学 2020-02-07 John B. DeBrota , Blake C. Stacey

The mutual information between a complex-valued channel input and its complex-valued output is decomposed into four parts based on polar coordinates: an amplitude term, a phase term, and two mixed terms. Numerical results for the additive…

信息论 · 计算机科学 2015-03-13 Bernhard Goebel , René-Jean Essiambre , Gerhard Kramer , Peter J. Winzer , Norbert Hanik

A method is proposed, called channel polarization, to construct code sequences that achieve the symmetric capacity $I(W)$ of any given binary-input discrete memoryless channel (B-DMC) $W$. The symmetric capacity is the highest rate…

信息论 · 计算机科学 2016-11-18 Erdal Arikan

Accurate channel state information (CSI) is necessary for coherent detection in amplify and forward (AF) broadband cooperative communication systems. Based on the assumption of ordinary sparse channel, efficient sparse channel estimation…

信息论 · 计算机科学 2012-07-31 Guan Gui , Wei Peng

We argue that a fundamental (conjectured) property of memoryless quantum channels, namely the strong superadditivity, is intimately related to the decreasing property of the quantum relative entropy. Using the latter we first give, for a…

量子物理 · 物理学 2009-07-09 Grigori G. Amosov , Stefano Mancini

The coherent equalization problem consists in designing a quantum system acting as a mean-square near-optimal filter for a given quantum communication channel. The paper develops an improved method for the synthesis of transfer functions…

量子物理 · 物理学 2026-05-05 Valery Ugrinovskii , Shuixin Xiao

Quantum channels represent a broad spectrum of operations crucial to quantum information theory, encompassing everything from the transmission of quantum information to the manipulation of various resources. In the domain of states, the…

量子物理 · 物理学 2025-05-15 Gilad Gour , Doyeong Kim , Takla Nateeboon , Guy Shemesh , Goni Yoeli

In this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysis is based on the reflecting technique and new results on…

数学物理 · 物理学 2016-03-29 Hoai-Minh Nguyen

This paper introduces DeCAL, a new method for tokenwise compression. DeCAL uses an encoder-decoder language model pretrained with denoising to learn to produce high-quality, general-purpose compressed representations from the encoder. DeCAL…

计算与语言 · 计算机科学 2025-10-23 Sameer Panwar

We advocate for a simple multipole expansion of the polarization density matrix. The resulting multipoles are used to construct bona fide quasiprobability distributions that appear as a sum of successive moments of the Stokes variables; the…

量子物理 · 物理学 2013-06-04 L. L. Sanchez-Soto , A. B. Klimov , P. de la Hoz , G. Leuchs

The analogue of polar coordinates in the Euclidean space, a polar decomposition in a metric space, if well-defined, can be very useful in dealing with integrals with respect to a sufficiently regular measure. In this note we handle the…

泛函分析 · 数学 2023-09-06 Zhirayr Avetisyan , Michael Ruzhansky

This paper proposes a channel estimation method for Multiple-Input Multiple-Output (MIMO) systems based on Canonical Polyadic (CP) decomposition applied to a mode-factorized tensor representation of the channel. The proposed approach…

信息论 · 计算机科学 2026-05-20 Alexander Blagodarnyi , Alexander Sherstobitov , Vladimir Lyashev

This study proposes \emph{modular arithmetic erasure channels} (MAECs), a novel class of erasure-like channels with an input alphabet that need not be binary. This class contains the binary erasure channel (BEC) and some other known…

信息论 · 计算机科学 2020-08-21 Yuta Sakai , Ken-ichi Iwata , Hiroshi Fujisaki

We provide a generalization of quantum polar codes to quantum channels with qudit-input, achieving the symmetric coherent information of the channel. Our scheme relies on a channel combining and splitting construction, where a two-qudit…

量子物理 · 物理学 2025-03-12 Ashutosh Goswami , Mehdi Mhalla , Valentin Savin

It is shown that given two copies of a q-ary input channel $W$, where q is prime, it is possible to create two channels $W^-$ and $W^+$ whose symmetric capacities satisfy $I(W^-)\le I(W)\le I(W^+)$, where the inequalities are strict except…

信息论 · 计算机科学 2016-11-18 Eren Sasoglu
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