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Given an unknown quantum state distributed over two systems, we determine how much quantum communication is needed to transfer the full state to one system. This communication measures the "partial information" one system needs conditioned…

Quantum Physics · Physics 2007-05-23 Michal Horodecki , Jonathan Oppenheim , Andreas Winter

A simple method to enhance the quality of communication is to send a carrier with its copies. Classical information theory says that information behaves quantitatively under copying. In other words, if a carrier is more informatic than…

Quantum Physics · Physics 2020-09-04 Jisho Miyazaki

By considering quantum computation as a communication process, we relate its efficiency to a communication capacity. This formalism allows us to rederive lower bounds on the complexity of search algorithms. It also enables us to link the…

Quantum Physics · Physics 2009-11-06 S. Bose , L. Rallan , V. Vedral

We consider the communication complexity of fundamental longest common prefix (Lcp) problems. In the simplest version, two parties, Alice and Bob, each hold a string, $A$ and $B$, and we want to determine the length of their longest common…

Data Structures and Algorithms · Computer Science 2018-06-11 Philip Bille , Mikko Berggreen Ettienne , Roberto Grossi , Inge Li Gørtz , Eva Rotenberg

We investigate whether it is possible to teleport the coherence of an unknown quantum state from Alice to Bob by communicating a lesser number of classical bits in comparison to what is required for teleporting an unknown quantum state. We…

Quantum Physics · Physics 2023-11-02 Sohail , Arun K Pati , Vijeth Aradhya , Indranil Chakrabarty , Subhasree Patro

In a variant of communication complexity tasks, two or more separated parties cooperate to compute a function of their local data, using a limited amount of communication. It is known that communication of quantum systems and shared…

Quantum Physics · Physics 2015-12-21 Adrien Feix , Mateus Araújo , Časlav Brukner

This thesis establishes a number of connections between foundational issues in quantum theory, and some quantum information applications. It starts with a review of quantum contextuality and non-locality, multipartite entanglement…

Quantum Physics · Physics 2007-05-23 Ernesto F. Galvao

Phenomena induced by the existence of entanglement, such as nonlocal correlations, exhibit characteristic properties of quantum mechanics distinguishing from classical theories. When entanglement is accompanied by classical communication,…

Quantum Physics · Physics 2018-01-03 Seiseki Akibue , Masaki Owari , Go Kato , Mio Murao

We introduce the concentrated information of tripartite quantum states. For three parties Alice, Bob, and Charlie, it is defined as the maximal mutual information achievable between Alice and Charlie via local operations and classical…

Quantum Physics · Physics 2015-07-22 Alexander Streltsov , Soojoon Lee , Gerardo Adesso

This paper studies the gap between quantum one-way communication complexity $Q(f)$ and its classical counterpart $C(f)$, under the {\em unbounded-error} setting, i.e., it is enough that the success probability is strictly greater than 1/2.…

Quantum Physics · Physics 2007-09-18 Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

This work studies distributed learning in the spirit of Yao's model of communication complexity: consider a two-party setting, where each of the players gets a list of labelled examples and they communicate in order to jointly perform some…

Machine Learning · Computer Science 2018-04-24 Daniel M. Kane , Roi Livni , Shay Moran , Amir Yehudayoff

We consider an instance of the following problem: Parties P_1,..., P_k each receive an input x_i, and a coordinator (distinct from each of these parties) wishes to compute f(x_1,..., x_k) for some predicate f. We are interested in one-round…

Computational Complexity · Computer Science 2013-01-22 Daniel Apon , Jonathan Katz , Alex J. Malozemoff

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…

Quantum Physics · Physics 2018-02-07 Eric Chitambar , Min-Hsiu Hsieh

Quantum entanglement distillation protocols are LOCC protocols between Alice and Bob that convert imperfect EPR pairs, or, in general, partially entangled bipartite states into perfect or near-perfect EPR pairs. The classical communication…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Ke Yang

Query complexity is a model of computation in which we have to compute a function $f(x_1, \ldots, x_N)$ of variables $x_i$ which can be accessed via queries. The complexity of an algorithm is measured by the number of queries that it makes.…

Quantum Physics · Physics 2017-12-19 Andris Ambainis

We consider communication between two parties using a bipartite quantum operation, which constitutes the most general quantum mechanical model of two-party communication. We primarily focus on the simultaneous forward and backward…

Quantum Physics · Physics 2014-11-18 Andrew M. Childs , Debbie W. Leung , Hoi-Kwong Lo

When a noisy communication channel is used multiple times, the errors occurring at different times generally exhibit correlations. Classically, these correlations do not affect the evolution of individual particles: a single classical…

Quantum Physics · Physics 2021-12-07 Hlér Kristjánsson , Wenxu Mao , Giulio Chiribella

We consider visible compression for discrete memoryless sources of mixed quantum states when only classical information can be sent from Alice to Bob. We assume that Bob knows the source statistics, and that Alice and Bob have identical…

Quantum Physics · Physics 2007-05-23 Emina Soljanin

Information about an unknown quantum state can be encoded in weak values of projectors belonging to a complete eigenbasis. We present a protocol that enables one party -- Bob -- to remotely determine the weak values corresponding to weak…

Quantum Physics · Physics 2022-02-25 Varad R. Pande , Som Kanjilal

Quantum communication employs the counter-intuitive features of quantum physics to perform tasks that are im- possible in the classical world. It is crucial for testing the foundations of quantum theory and promises to rev- olutionize our…