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We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of particles in an entangled quantum state. We prove linear lower bounds for…

Quantum Physics · Physics 2008-02-03 Richard Cleve , Wim van Dam , Michael Nielsen , Alain Tapp

We consider generic pure $n$-qubit states and a general class of pure states of arbitrary dimensions and arbitrarily many subsystems. We characterize those states which can be reached from some other state via Local Operations assisted by…

Quantum Physics · Physics 2017-02-01 C. Spee , J. I. de Vicente , D. Sauerwein , B. Kraus

Despite the apparent similarity between shared randomness and shared entanglement in the context of Communication Complexity, our understanding of the latter is not as good as of the former. In particular, there is no known "entanglement…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

In this paper we study the subset of generalized quantum measurements on finite dimensional systems known as local operations and classical communication (LOCC). While LOCC emerges as the natural class of operations in many important…

Quantum Physics · Physics 2014-05-14 Eric Chitambar , Debbie Leung , Laura Mancinska , Maris Ozols , Andreas Winter

In quantum networks, effective entanglement routing facilitates remote entanglement communication between quantum source and quantum destination nodes. Unlike routing in classical networks, entanglement routing in quantum networks must…

Quantum Physics · Physics 2023-04-11 Rakpong Kaewpuang , Minrui Xu , Stephen John Turner , Dusit Niyato , Han Yu , Dong In Kim

Distributed quantum information processing is essential for building quantum networks and enabling more extensive quantum computations. In this regime, several spatially separated parties share a multipartite quantum system, and the most…

Quantum Physics · Physics 2021-12-28 Xuanqiang Zhao , Benchi Zhao , Zihe Wang , Zhixin Song , Xin Wang

The notion of entanglement has been useful for characterizing universal properties of quantum phases of matter. From the perspective of quantum information theory, it is tempting to ask whether their entanglement structures possess any…

Quantum Physics · Physics 2022-01-21 Tsung-Cheng Lu , En-Jui Kuo , Hung-Hwa Lin

Quantum computers face inherent scaling challenges, a fact that necessitates investigation of distributed quantum computing systems, whereby scaling is achieved through interconnection of smaller quantum processing units. However,…

Quantum Physics · Physics 2026-01-21 Felix Burt , Kuan-Cheng Chen , Kin K. Leung

Quantum information theory is a multidisciplinary field whose objective is to understand what happens when information is stored in the state of a quantum system. Quantum mechanics provides us with a new resource, called quantum…

Quantum Physics · Physics 2011-05-25 Nicolas Dutil

By how much must the communication complexity of a function increase if we demand that the parties not only correctly compute the function but also return all registers (other than the one containing the answer) to their initial states at…

Quantum Physics · Physics 2016-12-07 Harry Buhrman , Matthias Christandl , Christopher Perry , Jeroen Zuiddam

The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPR-pairs). Some lower bound techniques are available for qubit communication…

Computational Complexity · Computer Science 2007-05-23 Harry Buhrman , Ronald de Wolf

Suppose that two distant parties Alice and Bob share an entangled state $\rho_{AB}$, and they want to exchange the subsystems of $\rho_{AB}$ by local operations and classical communication (LOCC). In general, this LOCC task (i.e. the LOCC…

Quantum Physics · Physics 2015-09-30 Takaya Ikuto , Satoshi Ishizaka

This paper presents a new quantum protocol designed to simultaneously transmit information from one source to many recipients. The proposed protocol, which is based on the phenomenon of entanglement, is completely distributed and is…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos , Alla Sirokofskich

We study the problem of computing conjunctive queries over large databases on parallel architectures without shared storage. Using the structure of such a query $q$ and the skew in the data, we study tradeoffs between the number of…

Databases · Computer Science 2016-02-22 Paul Beame , Paraschos Koutris , Dan Suciu

Quantum energy teleportation (QET) is the phenomenon in which locally inaccessible energy is activated as extractable work through collaborative local operations and classical communication (LOCC) with an entangled partner. It closely…

Quantum Physics · Physics 2024-12-23 Jinzhao Wang , Shunyu Yao

We prove a powerful theorem for tripartite remote entanglement distribution protocols that establishes an upper bound on the amount of entanglement of formation that can be created between two single-qubit nodes of a quantum network. Our…

Quantum Physics · Physics 2009-11-10 Gilad Gour , Barry C. Sanders

We consider the problem of communicating quantum states by simultaneously making use of a noiseless classical channel, a noiseless quantum channel and shared entanglement. We specifically study the version of the problem in which the sender…

Quantum Physics · Physics 2007-05-23 Anura Abeyesinghe , Patrick Hayden

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…

Quantum Physics · Physics 2017-12-06 Lvzhou Li , Shenggen Zheng , Haozhen Situ , Daowen Qiu

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…

Quantum Physics · Physics 2009-11-06 J. Eisert , K. Jacobs , P. Papadopoulos , M. B. Plenio

A circular quantum secret sharing protocol is proposed, which is useful and efficient when one of the parties of secret sharing is remote to the others who are in adjacent, especially the parties are more than three. We describe the process…

Quantum Physics · Physics 2012-08-27 Fu-Guo Deng , Hong-Yu Zhou andGui Lu Long
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