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We show that the ability to create entanglement is necessary for execution of bipartite quantum gates even when they are applied to unentangled states and create no entanglement. Starting with a simple example we demonstrate that to execute…

量子物理 · 物理学 2011-01-12 Aharon Brodutch , Daniel R. Terno

Communication over a fully quantum relay channel is considered. We establish three bounds based on different coding strategies, i.e., partial decode-forward, measure-forward, and assist-forward. Using the partial-decode forward strategy,…

量子物理 · 物理学 2025-05-22 Uzi Pereg

We investigate the minimal resources that are required in the local implementation of non-local quantum gates in a distributed quantum computer. Both classical communication requirements and entanglement consumption are investigated. We…

量子物理 · 物理学 2009-11-06 J. Eisert , K. Jacobs , P. Papadopoulos , M. B. Plenio

Recently, the projective robustness of quantum states has been introduced in [arXiv:2109.04481(2021)]. It shows that the projective robustness is a useful resource monotone and can comprehensively characterize capabilities and limitations…

量子物理 · 物理学 2022-06-15 Mingfei Ye , Yu Luo , Zhihui Li , Yongming Li

The mathematical framework of quantum theory, though fundamentally distinct from classical physics, raises the question of whether quantum processes can be efficiently simulated using classical resources. For instance, a sender (Alice)…

量子物理 · 物理学 2025-07-17 Sahil Gopalkrishna Naik , Mani Zartab , Nicolas Gisin , Manik Banik

For certain restricted computational tasks, quantum mechanics provides a provable advantage over any possible classical implementation. Several of these results have been proven using the framework of measurement-based quantum computation…

量子物理 · 物理学 2023-04-24 Markus Frembs , Sam Roberts , Earl T. Campbell , Stephen D. Bartlett

Quantum capacity, as the ultimate transmission rate of quantum communication, is characterized by regularized coherent information. In this work, we reformulate approximations of the quantum capacity by operator space norms and give both…

量子物理 · 物理学 2019-11-06 Li Gao , Marius Junge , Nicholas LaRacuente

In recent years, the use of information principles to understand quantum correlations has been very successful. Unfortunately, all principles considered so far have a bipartite formulation, but intrinsically multipartite principles, yet to…

量子物理 · 物理学 2014-03-03 T. Fritz , A. B. Sainz , R. Augusiak , J. B. Brask , R. Chaves , A. Leverrier , A. Acín

We explore the question of using an entangled state as a universal resource for implementing quantum measurements by local operations and classical communication (LOCC). We show that for most systems consisting of three or more subsystems,…

量子物理 · 物理学 2016-09-13 Somshubhro Bandyopadhyay , Saronath Halder , Michael Nathanson

We find a strong-converse bound on the private capacity of a quantum channel assisted by unlimited two-way classical communication. The bound is based on the max-relative entropy of entanglement and its proof uses a new inequality for the…

量子物理 · 物理学 2017-07-04 Matthias Christandl , Alexander Müller-Hermes

We introduce deterministic state-transformation protocols between many-body quantum states which can be implemented by low-depth Quantum Circuits (QC) followed by Local Operations and Classical Communication (LOCC). We show that this gives…

量子物理 · 物理学 2021-11-24 Lorenzo Piroli , Georgios Styliaris , J. Ignacio Cirac

We provide a versatile upper bound on the number of maximally entangled qubits, or private bits, shared by two parties via a generic adaptive communication protocol over a quantum network when the use of classical communication is not…

量子物理 · 物理学 2018-01-30 Luca Rigovacca , Go Kato , Stefan Bäuml , M. S. Kim , W. J. Munro , Koji Azuma

We develop bounds on the capacity of Poisson-repeat channels (PRCs) for which each input bit is independently repeated according to a Poisson distribution. The upper bounds are obtained by considering an auxiliary channel where the output…

信息论 · 计算机科学 2024-10-04 Mohammad Kazemi , Tolga M. Duman

We investigate the generation of EPR pairs between three observers in a general causally structured setting, where communication occurs via a noisy quantum broadcast channel. The most general quantum codes for this setup take the form of…

量子物理 · 物理学 2025-05-13 Patrick Hayden , Debbie Leung , Hjalmar Rall , Farzin Salek

The single-letter characterisation of the entanglement-assisted capacity of a quantum channel is one of the seminal results of quantum information theory. In this paper, we consider a modified communication scenario in which the receiver is…

量子物理 · 物理学 2024-09-16 Kaiyuan Ji , Bartosz Regula , Mark M. Wilde

The optimal rate of reliable communication over a quantum channel can be enhanced by pre-shared entanglement. Whereas the enhancement may be unbounded in infinite-dimensional settings even when the input power is constrained, a…

The problem behind this paper is, if the number of queries to unitary operations is fixed, say $k$, then when do local operations and classical communication (LOCC) suffice for optimally distinguishing bipartite unitary operations? We…

量子物理 · 物理学 2017-12-06 Lvzhou Li , Shenggen Zheng , Haozhen Situ , Daowen Qiu

We determine the capacity of compound classical-quantum channels. As a consequence we obtain the capacity formula for the averaged classical-quantum channels. The capacity result for compound channels demonstrates, as in the classical…

量子物理 · 物理学 2009-02-16 Igor Bjelakovic , Holger Boche

We derive lower bounds for tradeoffs between the communication C and space S for communicating circuits. The first such bound applies to quantum circuits. If for any function f with image Z the multicolor discrepancy of the communication…

量子物理 · 物理学 2016-09-08 Hartmut Klauck

In many applications entanglement must be distributed through noisy communication channels that unavoidably degrade it. Entanglement cannot be generated by local operations and classical communication (LOCC), implying that once it has been…