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We analyse families of codes for classical data transmission over quantum channels that have both a vanishing probability of error and a code rate approaching capacity as the code length increases. To characterise the fundamental tradeoff…

量子物理 · 物理学 2017-08-23 Christopher T. Chubb , Vincent Y. F. Tan , Marco Tomamichel

We outline the potential gains of quantum correlated imaging and compare it to classical correlated imaging. As shown earlier by A. Gatti, E. Bambilla, M. Bache, and L. A. Lugiato, ArXive:quant-ph/0405056, classical correlated imaging can…

量子物理 · 物理学 2007-05-23 J. Bogdanski , G. Bjork , A. Karlsson

We study the problem of decoding classical information encoded on quantum states at the output of a quantum channel, with particular focus on increasing the communication rates towards the maximum allowed by Quantum Mechanics. After a brief…

量子物理 · 物理学 2017-10-25 Matteo Rosati

Hybrid classical-quantum systems are of interest in numerous fields, from quantum chemistry to quantum information science. A fully quantum effective description of them is straightforward to formulate when the classical subsystem is…

量子物理 · 物理学 2025-01-06 S. Camalet

We address the following criterion for quantifying the quantum information resources: classically simulable {\it vs.} classically non-simulable information processing. This approach gives rise to existence of a deeper level of quantum…

量子物理 · 物理学 2007-05-23 M. Dugic

We consider the problem of correcting the errors incurred from sending classical or quantum information through a noisy quantum environment by schemes using classical information obtained from a measurement on the environment. We give a…

量子物理 · 物理学 2015-06-26 M. Gregoratti , R. F. Werner

We introduce a protocol addressing the conformance test problem, which consists in determining whether a process under test conforms to a reference one. We consider a process to be characterized by the set of end-product it produces, which…

We address the problem of testing the dimensionality of classical and quantum systems in a `black-box' scenario. We develop a general formalism for tackling this problem. This allows us to derive lower bounds on the classical dimension…

量子物理 · 物理学 2010-12-28 Rodrigo Gallego , Nicolas Brunner , Christopher Hadley , Antonio Acin

In this paper, we provide a simple framework for deriving one-shot achievable bounds for some problems in quantum information theory. Our framework is based on the joint convexity of the exponential of the collision relative entropy, and is…

量子物理 · 物理学 2017-01-12 Salman Beigi , Amin Gohari

The question of what is genuinely quantum about weak values is only ever going to elicit strongly subjective opinions---it is not a scientific question. Good questions, when comparing theories, are operational---they deal with the…

量子物理 · 物理学 2014-10-30 Christopher Ferrie , Joshua Combes

We consider symmetric hypothesis testing in quantum statistics, where the hypotheses are density operators on a finite-dimensional complex Hilbert space, representing states of a finite quantum system. We prove a lower bound on the…

量子物理 · 物理学 2009-04-30 Michael Nussbaum , Arleta Szkoła

We introduce a general method for the construction of quasiprobability representations for arbitrary notions of quantum coherence. Our technique yields a nonnegative probability distribution for the decomposition of any classical state.…

量子物理 · 物理学 2018-06-22 J. Sperling , I. A. Walmsley

Any physical transformation that equally distributes quantum information over a large number M of users can be approximated by a classical broadcasting of measurement outcomes. The accuracy of the approximation is at least of the order 1/M.…

量子物理 · 物理学 2007-05-23 G. Chiribella , G. M. D'Ariano

We consider the task of communicating a generic bivariate function of two classical sources over a Classical-Quantum Multiple Access Channel (CQ-MAC). The two sources are observed at the encoders of the CQ-MAC, and the decoder aims at…

信息论 · 计算机科学 2022-02-24 Mohammad Aamir Sohail , Touheed Anwar Atif , S. Sandeep Pradhan , Arun Padakandla

Quantum information science strives to leverage the quantum-mechanical nature of our universe in order to achieve large improvements in certain information processing tasks. In deep-space optical communications, current receivers for the…

量子物理 · 物理学 2020-04-16 Narayanan Rengaswamy

In this paper we propose a general method to quantify how "quantum" a set of quantum states is. The idea is to gauge the quantumness of the set by the worst-case difficulty of transmitting the states through a purely classical communication…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs , Masahide Sasaki

In this paper, we present a Hoare-style logic for reasoning about quantum programs with classical variables. Our approach offers several improvements over previous work: (1) Enhanced expressivity of the programming language: Our logic…

编程语言 · 计算机科学 2026-04-21 Mingsheng Ying

Faster algorithms, novel cryptographic mechanisms, and alternative methods of communication become possible when the model underlying information and computation changes from a classical mechanical model to a quantum mechanical one. Quantum…

量子物理 · 物理学 2009-12-29 Eleanor G. Rieffel

While the fluctuation theorem in classical systems has been thoroughly generalized under various feedback control setups, an intriguing situation in quantum systems, namely under continuous feedback, remains to be investigated. In this…

统计力学 · 物理学 2022-05-11 Toshihiro Yada , Nobuyuki Yoshioka , Takahiro Sagawa

Motivated by gene set enrichment analysis, we investigate the problem of combined hypothesis testing on a graph. We introduce a general framework to effectively use the structural information of the underlying graph when testing…

统计方法学 · 统计学 2016-10-26 Shulei Wang , Ming Yuan