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We study the visible compression of a source E of pure quantum signal states, or, more formally, the minimal resources per signal required to represent arbitrarily long strings of signals with arbitrarily high fidelity, when the compressor…

量子物理 · 物理学 2007-05-23 Patrick Hayden , Richard Jozsa , Andreas Winter

We give a capacity formula for the classical communication over a noisy quantum channel, when local operations and global permutations allowed in the encoding and bipartite states preshared between the sender and the receiver. The two…

量子物理 · 物理学 2020-01-10 Kun Wang , Masahito Hayashi

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

We approach two interconnected problems of quantum information processing in networks: Conference key agreement and entanglement distillation, both in the so-called source model where the given resource is a multipartite quantum state and…

量子物理 · 物理学 2025-02-28 Farzin Salek , Andreas Winter

We consider implementations of a bipartite unitary on many pairs of unknown input states by local operation and classical communication assisted by shared entanglement. We investigate to what extent the entanglement cost and the classical…

量子物理 · 物理学 2014-07-21 Eyuri Wakakuwa , Mio Murao

The correlation distance quantifies the statistical independence of two classical or quantum systems, via the distance from their joint state to the product of the marginal states. Tight lower bounds are given for the mutual information…

量子物理 · 物理学 2013-09-23 Michael J. W. Hall

A highly entangled bipartite quantum state is more advantageous for the quantum dense coding protocol than states with low entanglement. Such a correspondence, however, does not exist even for pure quantum states in the multipartite domain.…

量子物理 · 物理学 2014-08-26 Tamoghna Das , R. Prabhu , Aditi Sen De , Ujjwal Sen

Recent work has extended Bell's theorem by quantifying the amount of communication required to simulate entangled quantum systems with classical information. The general scenario is that a bipartite measurement is given from a set of…

量子物理 · 物理学 2009-11-06 Serge Massar , Dave Bacon , Nicolas Cerf , Richard Cleve

Shared entanglement is a resource available to parties communicating over a quantum channel, much akin to public coins in classical communication protocols. Whereas shared randomness does not help in the transmission of information, or…

量子物理 · 物理学 2018-03-22 Ashwin Nayak , Julia Salzman

A natural operational paradigm for distributed quantum and classical information processing involves local operations coordinated by multiple rounds of public communication. In this paper we consider the minimum number of communication…

量子物理 · 物理学 2018-02-07 Eric Chitambar , Min-Hsiu Hsieh

Quantifying entanglement is a work in progress which is important for the active field of quantum information and computation. A measure of bipartite pure state entanglement is proposed here, named entanglement coherence, which is…

量子物理 · 物理学 2022-02-15 Neha Pathania , Tabish Qureshi

It is shown that with the use of entanglement a specific two party communication task can be done with a systematically smaller expected error than any possible classical protocol could do. The example utilises the very tight correlation…

量子物理 · 物理学 2007-05-23 Lucien Hardy , Wim van Dam

We introduce a measure of both quantum as well as classical correlations in a quantum state, the entanglement of purification. We show that the (regularized) entanglement of purification is equal to the entanglement cost of creating a state…

量子物理 · 物理学 2009-11-07 Barbara M. Terhal , Michal Horodecki , Debbie W. Leung , David P. DiVincenzo

We discuss the problem of the separation of total correlations in a given quantum state into entanglement, dissonance, and classical correlations using the concept of relative entropy as a distance measure of correlations. This allows us to…

量子物理 · 物理学 2010-03-03 Kavan Modi , Tomasz Paterek , Wonmin Son , Vlatko Vedral , Mark Williamson

In this thesis we analyse the type of states and ensembles which achieve the capacity for certain quantum channels carrying classical information. We first concentrate on the product-state capacity of a particular quantum channel, that is,…

量子物理 · 物理学 2010-07-19 Ciara Morgan

We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual information of the measurement, if sufficient shared randomness is…

量子物理 · 物理学 2014-11-25 Mario Berta , Joseph M. Renes , Mark M. Wilde

The frame of classical probability theory can be generalized by enlarging the usual family of random variables in order to encompass nondeterministic ones: this leads to a frame in which two kinds of correlations emerge: the classical…

量子物理 · 物理学 2007-05-23 E. G. Beltrametti , S. Bugajski

We define "coherent communication" in terms of a simple primitive, show it is equivalent to the ability to send a classical message with a unitary or isometric operation, and use it to relate other resources in quantum information theory.…

量子物理 · 物理学 2009-11-10 Aram W. Harrow

We investigate the correlations of initially separable probability distributions in a globally pure bipartite system with two degrees of freedom for classical and quantum systems. A classical version of the quantum linear mutual information…

量子物理 · 物理学 2009-11-10 R. M. Angelo , S. A. Vitiello , M. A. M. de Aguiar , K. Furuya

We propose a probabilistic two-party communication complexity scenario with a prior nonmaximally entangled state, which results in less communication than that is required with only classical random correlations. A simple all-optical…

量子物理 · 物理学 2019-08-17 Peng Xue , Yun-Feng Huang , Yong-Sheng Zhang , Chuan-Feng Li , Guang-Can Guo