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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

A fundamental objective in quantum information science is to determine the cost in classical resources of simulating a particular quantum system. The classical simulation cost is quantified by the signaling dimension which specifies the…

量子物理 · 物理学 2022-03-29 Brian Doolittle , Eric Chitambar

We show that the communication cost of quantum broadcast channel simulation under free entanglement assistance between the sender and the receivers is asymptotically characterized by an efficiently computable single-letter formula in terms…

量子物理 · 物理学 2023-05-05 Hao-Chung Cheng , Li Gao , Mario Berta

We first investigate the one-shot static entanglement cost to simulate a bipartite quantum channel under the set of non-entangling channels. The lower bound on the static entanglement cost is given by the generalized robustness of the…

量子物理 · 物理学 2021-06-23 Ho-Joon Kim , Soojoon Lee

Using one channel to simulate another exactly with the aid of quantum no-signalling correlations has been studied recently. The one-shot no-signalling assisted classical zero-error simulation cost of non-commutative bipartite graphs has…

量子物理 · 物理学 2016-09-28 Xin Wang , Runyao Duan

We study the general framework of quantum channel simulation, that is, the ability of a quantum channel to simulate another one using different classes of codes. First, we show that the minimum error of simulation and the one-shot quantum…

量子物理 · 物理学 2020-08-13 Kun Fang , Xin Wang , Marco Tomamichel , Mario Berta

The entanglement cost of a quantum channel is the minimal rate at which entanglement (between sender and receiver) is needed in order to simulate many copies of a quantum channel in the presence of free classical communication. In this…

量子物理 · 物理学 2015-11-03 Mario Berta , Fernando Brandao , Matthias Christandl , Stephanie Wehner

We study the effect of shared non-signaling correlations for the problem of simulating a channel using noiseless communication in the one-shot setting. For classical channels, we show how to round any non-signaling-assisted simulation…

量子物理 · 物理学 2024-11-18 Aadil Oufkir , Omar Fawzi , Mario Berta

The communication complexity of a quantum channel is the minimal amount of classical communication required for classically simulating a process of state preparation, transmission through the channel and subsequent measurement. It…

量子物理 · 物理学 2012-09-14 Alberto Montina

We analyze implementations of bipartite unitaries by means of local operations and classical communication (LOCC) assisted by shared entanglement. We employ concepts and techniques developed in quantum Shannon theory to study an asymptotic…

量子物理 · 物理学 2018-03-26 Eyuri Wakakuwa , Akihito Soeda , Mio Murao

In most communication scenarios, sending a symbol encoded in a quantum state requires spending resources such as energy, which can be quantified by a cost of communication. A standard approach in this context is to quantify the performance…

量子物理 · 物理学 2017-10-09 Marcin Jarzyna

We study the problem of transmission of classical messages through a quantum channel in several network scenarios in the one-shot setting. We consider both the entanglement assisted and unassisted cases for the point to point quantum…

量子物理 · 物理学 2019-03-19 Anurag Anshu , Rahul Jain , Naqueeb Ahmad Warsi

A two-party quantum communication process with classical inputs and outcomes can be simulated by replacing the quantum channel with a classical one. The minimal amount of classical communication required to reproduce the statistics of the…

量子物理 · 物理学 2016-04-20 A. Hansen , A. Montina , S. Wolf

We explore several new converse bounds for classical communication over quantum channels in both the one-shot and asymptotic regimes. First, we show that the Matthews-Wehner meta-converse bound for entanglement-assisted classical…

量子物理 · 物理学 2019-08-07 Xin Wang , Kun Fang , Marco Tomamichel

We analyze the amount of classical communication required to reproduce the statistics of local projective measurements on a general pair of entangled qubits, $|\Psi_{AB}>=\sqrt{p}\ |00>+\sqrt{1-p}\ |11>$ (with $1/2\leq p \leq 1$). We…

量子物理 · 物理学 2023-10-25 Martin J. Renner , Marco Túlio Quintino

We study the activated quantum no-signalling-assisted zero-error classical capacity by first allowing the assistance from some noiseless forward communication channel and later paying back the cost of the helper. This activated…

量子物理 · 物理学 2017-12-19 Runyao Duan , Xin Wang

Entanglement appears in two different ways in quantum mechanics, namely as a property of states and as a property of measurement outcomes in joint measurements. By combining these two aspects of entanglement, it is possible to generate…

量子物理 · 物理学 2012-09-26 Nicolas Brunner , Cyril Branciard , Nicolas Gisin , Denis Rosset

We study the one-shot zero-error classical capacity of a quantum channel assisted by quantum no-signalling correlations, and the reverse problem of exact simulation of a prescribed channel by a noiseless classical one. Quantum no-signalling…

量子物理 · 物理学 2016-01-26 Runyao Duan , Andreas Winter

The one-shot success probability of a noisy classical channel for transmitting one classical bit is the optimal probability with which the bit can be sent via a single use of the channel. Prevedel et al. (PRL 106, 110505 (2011)) recently…

量子物理 · 物理学 2013-06-05 Brett Hemenway , Carl A. Miller , Yaoyun Shi , Mary Wootters

We investigate the amount of communication that must augment classical local hidden variable models in order to simulate the behaviour of entangled quantum systems. We consider the scenario where a bipartite measurement is given from a set…

量子物理 · 物理学 2009-10-31 Gilles Brassard , Richard Cleve , Alain Tapp
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