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We consider the problem of how to manipulate the entanglement properties of a general two-particle pure state, shared between Alice and Bob, by using only local operations at each end and classical communication between Alice and Bob. A…

Quantum Physics · Physics 2009-10-31 Lucien Hardy

Suppose two distant observers Alice and Bob share a pure biparticle entangled state secretly chosen from a set, it is shown that Alice (Bob) can probabilistic concentrate the state to a maximally entangled state by applying local operations…

Quantum Physics · Physics 2007-05-23 Chuan-Wei Zhang , Chuan-Feng Li , Guang-Can Guo

Suppose Alice and Bob jointly possess a pure state, $|\psi\ra$. Using local operations on their respective systems and classical communication it may be possible for Alice and Bob to transform $|\psi\ra$ into another joint state $|\phi\ra$.…

Quantum Physics · Physics 2009-10-31 M. A. Nielsen

Alice and Bob are given an unknown initial state chosen from a set of pure quantum states. Their task is to transform the initial state to a corresponding final pure state using local operations only. We prove necessary and sufficient…

Quantum Physics · Physics 2015-06-11 H. F. Chau , Chi-Hang Fred Fung , Chi-Kwong Li , Edward Poon , Nung-Sing Sze

If two parties, Alice and Bob, share some number, n, of partially entangled pairs of qubits, then it is possible for them to concentrate these pairs into some smaller number of maximally entangled states. We present a simplified version of…

Quantum Physics · Physics 2009-11-07 Phillip Kaye , Michele Mosca

Ideal quantum teleportation transfers an unknown quantum state intact from one party Alice to the other Bob via the use of a maximally entangled state and the communication of classical information. If Alice and Bob do not share…

Quantum Physics · Physics 2021-04-16 Jyun-Yi Li , Xiao-Xu Fang , Ting Zhang , Gelo Noel M. Tabia , He Lu , Yeong-Cherng Liang

The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively…

Quantum Physics · Physics 2011-07-22 Masahito Hayashi , Lin Chen

Entanglement of pure states of bipartite quantum systems has been shown to have a unique measure in terms of the von Neumann entropy of the reduced states of either of its subsystems. The measure is established under entanglement…

Quantum Physics · Physics 2007-05-23 Garry Bowen , Nilanjana Datta

The bipartite entanglement of a pure quantum state is known to be characterized by its Schmidt decomposition. In particular the state is maximally entangled when all the Schmidt coefficients are equal. We point out a convenient method which…

Quantum Physics · Physics 2008-01-09 M. Bhattacharya

Consider a bipartite quantum system, where Alice and Bob jointly possess a pure state $|\psi\rangle$. Using local quantum operations on their respective subsystems, and unlimited classical communication, Alice and Bob may be able to…

Quantum Physics · Physics 2024-06-06 Vishesh Jain , Matthew Kwan , Marcus Michelen

We study the problem of general entanglement purification protocols. Suppose Alice and Bob share a bipartite state $\rho$ which is ``reasonably close'' to perfect EPR pairs. The only information Alice and Bob possess is a lower bound on the…

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

We consider a quantum communication task between two users Alice and Bob, in which Alice and Bob exchange their respective quantum information by means of local operations and classical communication assisted by shared entanglement. Here,…

Quantum Physics · Physics 2019-01-15 Yonghae Lee , Ryuji Takagi , Hayata Yamasaki , Gerardo Adesso , Soojoon Lee

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

The monogamy of entanglement is one of the basic quantum mechanical features, which says that when two partners Alice and Bob are more entangled then either of them has to be less entangled with the third party. Here we qualitatively…

Quantum Physics · Physics 2012-09-20 Lin Chen , Masahito Hayashi

This work explores the asymmetry of quantum steering in a setup using high-dimensional entanglement. We construct entangled states with the following properties: $(i)$ one party (Alice) can never steer the state of the other party (Bob),…

Quantum Physics · Physics 2025-02-11 Pavel Sekatski , Florian Giraud , Roope Uola , Nicolas Brunner

We present two method for optimal entanglement concentration from pure entangled states by local actions only. However a prior knowledge of the Schmidt coefficients is required. The first method is optimally efficient only when a finite…

Quantum Physics · Physics 2009-10-31 Somshubhro Bandyopadhyay

We present an optimal scheme to realize the transformations between single copies of two bipartite entangled states without classical communication between the sharing parties. The scheme achieves the upper bound for the success…

Quantum Physics · Physics 2008-12-17 Bing He , János A. Bergou

A set of all states of a bi-partite quantum system can be divided into subsets each of which contains states with the same degree of entanglement. In this paper we address a question whether local operations (without classical…

Quantum Physics · Physics 2007-07-31 Mario Ziman , Vladimir Buzek

Suppose Alice and Bob try to transform an entangled state shared between them into another one by local operations and classical communications. Then in general a certain amount of entanglement contained in the initial state will decrease…

Quantum Physics · Physics 2007-05-23 Runyao Duan , Yuan Feng , Mingsheng Ying

Assume Alice and Bob share some bipartite $d$-dimensional quantum state. A well-known result in quantum mechanics says that by performing two-outcome measurements, Alice and Bob can produce correlations that cannot be obtained locally,…

Quantum Physics · Physics 2009-06-24 Oded Regev , Ben Toner
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