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We consider the standard two-party communication model. The central problem studied in this article is how much one can save in information complexity by allowing an error of $\epsilon$. For arbitrary functions, we obtain lower bounds and…

Computational Complexity · Computer Science 2016-11-22 Yuval Dagan , Yuval Filmus , Hamed Hatami , Yaqiao Li

Bell's theorem states that Local Hidden Variables (LHVs) cannot fully explain the statistics of measurements on some entangled quantum states. It is natural to ask how much supplementary classical communication would be needed to simulate…

Quantum Physics · Physics 2023-10-25 Peter Sidajaya , Aloysius Dewen Lim , Baichu Yu , Valerio Scarani

We present a simple communication complexity problem where three parties benefit from sharing bound entanglement. This demonstrates that entanglement distillability of the shared state is not necessary in order to surpass classical…

Quantum Physics · Physics 2013-03-08 Michael Epping , Caslav Brukner

We consider a realistic setting of quantum tasks that generate shared bipartite quantum states. Suppose \alice and \bob are located at different places and need to produce a target shared quantum state $\rho$. In order to save quantum…

Quantum Physics · Physics 2014-12-17 Zhaohui Wei , Zhangqi Yin

We introduce a new multipartite communication scheme, with the aim to enable the senders to remotely and obliviously provide the receivers with an arbitrary amount of multipartite entanglement. The scheme is similar to Remote State…

Quantum Physics · Physics 2013-08-23 C. Spee , J. I. de Vicente , B. Kraus

Superdense coding proved that entanglement-assisted quantum communications can improve the data transmission rates compared to classical systems. It allows sending 2 classical bits between the parties in exchange of 1 quantum bit and a…

Quantum Physics · Physics 2012-10-11 Sandor Imre

How to uses shared entanglement and forward classical communication to remotely prepare an arbitrary (mixed or pure) state has been fascinating quantum information scientists. A constructive scheme has been given by Berry for remotely…

Quantum Physics · Physics 2014-05-22 Congyi Hua , Yi-Xin Chen

We study the following task: Alice is given a classical description of a rank-$k$ projector $P$ on $\mathbb{C}^d$, and Alice and Bob want to prepare the quantum state $P/k$ on Bob's side using shared entanglement and classical…

Quantum Physics · Physics 2026-05-19 Srijita Kundu , Olivier Lalonde

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…

Quantum Physics · Physics 2023-05-05 Hao-Chung Cheng , Li Gao , Mario Berta

More than two multipartite orthogonal states cannot always be discriminated (with certainty) if only local operations and classical communication (LOCC) are allowed. Using an existing inequality among the measures of entanglement, we show…

Quantum Physics · Physics 2009-11-07 Sibasish Ghosh , Guruprasad Kar , Anirban Roy , Aditi Sen De , Ujjwal Sen

We develop a novel method in classifying the multipartite entanglement state of $2\times N\times N$ under stochastic local operation and classical communication. In this method, all inequivalent classes of true entangled state can be…

Quantum Physics · Physics 2010-01-21 Shuo Cheng , Junli Li , Cong-Feng Qiao

An optimal local conversion strategy between any two pure states of a bipartite system is presented. It is optimal in that the probability of success is the largest achievable if the parties which share the system, and which can communicate…

Quantum Physics · Physics 2009-10-31 Guifre Vidal

In quantum information theory, it is widely believed that entanglement concentration for bipartite pure states is asymptotically reversible. In order to examine this, we give a precise formulation of the problem, and show a trade-off…

Quantum Physics · Physics 2013-10-01 Wataru Kumagai , Masahito Hayashi

We describe separable joint states on bipartite quantum systems that cannot be prepared by any thermodynamically reversible classical one-way communication protocol. We argue that the joint state of two synchronized microscopic clocks is…

Quantum Physics · Physics 2007-05-23 Dominik Janzing , Thomas Beth

We establish a quantitative connection between the amount of lost classical information about a quantum state and the concomitant loss of entanglement. Using methods that have been developed for the optimal purification of mixed states we…

Quantum Physics · Physics 2013-09-03 J. Eisert , T. Felbinger , P. Papadopoulos , M. B. Plenio , M. Wilkens

We study the performance of a partially correlated amplitude damping channel acting on two qubits. We derive lower bounds for the single-shot classical capacity by studying two kinds of quantum ensembles, one which allows to maximize the…

Quantum Physics · Physics 2016-01-13 A. D'Arrigo , G. Benenti , G. Falci , C. Macchiavello

A unitary interaction coupling two parties enables quantum communication in both the forward and backward directions. Each communication capacity can be thought of as a tradeoff between the achievable rates of specific types of forward and…

Quantum Physics · Physics 2007-05-23 Aram W. Harrow , Debbie W. Leung

We consider the problem of distinguishing between the elements of a bipartite maximally entangled orthonormal basis using local operations and classical communication (LOCC) and a partially entangled state acting as a resource. We derive an…

Quantum Physics · Physics 2024-10-10 Somshubhro Bandyopadhyay , Vincent Russo

Bipartite entanglement purification is the conversion of copies of weakly entangled pairs shared between two separated parties into a smaller number of strongly entangled shared pairs using only local operations and classical communication.…

Quantum Physics · Physics 2025-11-14 Matthew Barber , Stefano Pirandola

We study the discrimination of multipartite quantum states by local operations and classical communication. We derive that any optimal discrimination of quantum states spanning a two-dimensional Hilbert space in which each party's space is…

Quantum Physics · Physics 2018-01-12 Kenji Nakahira , Tsuyoshi Sasaki Usuda
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