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We study the distinguishability of a particular type of maximally entangled states -- the "lattice states" using a new approach of semidefinite program. With this, we successfully construct all sets of four ququad-ququad orthogonal…

Quantum Physics · Physics 2019-04-03 Zong-Xing Xiong , Mao-Sheng Li , Zhu-Jun Zheng , Chuan-Jie Zhu , Shao-Ming Fei

We consider the problem of local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems. We show that, contrary to the case of quantum systems, for fermionic systems it is…

Quantum Physics · Physics 2020-09-14 Matteo Lugli , Paolo Perinotti , Alessandro Tosini

A set of orthogonal quantum states is said to be locally indistinguishable if they cannot be perfectly distinguished by local operations and classical communication (LOCC). Otherwise, the states are locally distinguishable. Interestingly,…

Quantum Physics · Physics 2026-03-03 Atanu Bhunia , Saronath Halder , Ritabrata Sengupta

In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for information scrambling in quantum many-body systems. Here, we present exact analytical results for the OTOC for a typical pair of random local…

Quantum Physics · Physics 2021-01-22 Georgios Styliaris , Namit Anand , Paolo Zanardi

We examine dense coding with an arbitrary pure entangled state sharing between the sender and the receiver. Upper bounds on the average success probability in approximate dense coding and on the probability of conclusive results in…

Quantum Physics · Physics 2009-11-13 Yuan Feng , Runyao Duan , Zhengfeng Ji

We analyze the difference in the local distinguishability among the following three restrictions; (i) Local operations and only one-way classical communications (one-way LOCC) are permitted. (ii) Local operations and two-way classical…

Quantum Physics · Physics 2008-01-16 Masaki Owari , Masahito Hayashi

In this paper, we construct $2n-1$ locally indistinguishable orthogonal product states in $\mathbb{C}^n\otimes\mathbb{C}^{4}~(n>4)$ and $\mathbb{C}^n\otimes\mathbb{C}^{5}~(n\geq 5)$ respectively. Moreover, a set of locally indistinguishable…

Quantum Physics · Physics 2019-08-12 Haiquan Li , Xilin Tang , Naihuan Jing , Ze Gu

Entanglement percolation aims at generating maximal entanglement between any two nodes of a quantum network by utilizing strategies based solely on local operations and classical communication between the nodes. As it happens in classical…

Quantum Physics · Physics 2026-04-27 Alessandro Romancino , Jordi Romero-Pallejà , G. Massimo Palma , Anna Sanpera

We revisit the problem of discriminating orthogonal quantum states within the local quantum operation and classical communication (LOCC) paradigm. Our particular focus is on the asymptotic situation where the parties have infinite resources…

Quantum Physics · Physics 2011-10-17 M. Kleinmann , H. Kampermann , D. Bruß

Multipartite entanglement is very poorly understood despite all the theoretical and experimental advances of the last decades. Preparation, manipulation and identification of this resource is crucial for both practical and fundamental…

Quantum Physics · Physics 2015-09-28 G. H. Aguilar , S. P. Walborn , P. H. Souto Ribeiro , L. C. Céleri

When a quantum system is distributed to spatially separated parties, it is natural to consider how the system evolves when the parties perform local quantum operations with classical communication (LOCC). However, the structure of LOCC…

Quantum Physics · Physics 2020-05-07 Eric Chitambar , Julio I. de Vicente , Mark W. Girard , Gilad Gour

We provide rigorous, efficiently computable and tight bounds on the average error probability of multiple-copy discrimination between qubit mixed states by Local Operations assisted with Classical Communication (LOCC). In contrast to the…

Quantum Physics · Physics 2010-09-13 J. Calsamiglia , J. I. de Vicente , R. Munoz-Tapia , E. Bagan

Quantum entanglement is an indispensable resource for many significant quantum information processing tasks. Thus, distilling more entanglement from less entangled resource is a task of practical significance and has been investigated for…

Quantum Physics · Physics 2024-01-18 Zhaofeng Su , Nina Sukhodoeva

We give a conceptually simple necessary condition such that a separable quantum operation can be implemented by local operations on subsystems and classical communication between parties (LOCC), a condition which follows from a novel…

Quantum Physics · Physics 2014-08-07 Scott M. Cohen

For systems consisting of distinguishable particles, there exists an agreed upon notion of entanglement which is fundamentally based on the possibility of addressing individually each one of the constituent parties. Instead, the…

Quantum Physics · Physics 2020-09-24 F. Benatti , R. Floreanini , F. Franchini , U. Marzolino

In classical information theory one can, in principle, produce a perfect copy of any input state. In quantum information theory, the no cloning theorem prohibits exact copying of nonorthogonal states. Moreover, if we wish to copy…

Quantum Physics · Physics 2009-11-10 Fabio Anselmi , Anthony Chefles , Martin B. Plenio

The scenario of remote state preparation with shared correlated quantum state and one bit of forward communication [B. Dakic et al. Nature Physics 8, 666-670 (2012)] is considered. The transmission efficiency is examined by considering…

Quantum Physics · Physics 2014-12-01 Paweł Horodecki , Jan Tuziemski , Paweł Mazurek , Ryszard Horodecki

Much of the theory of entanglement concerns the transformations that are possible to a state under local operations with classical communication (LOCC); however, this set of operations is complicated and difficult to describe…

Quantum Physics · Physics 2008-08-24 Ognyan Oreshkov , Todd A. Brun

The search for a simple description of fundamental physical processes is an important part of quantum theory. One example for such an abstraction can be found in the distance lab paradigm: if two separated parties are connected via a…

Quantum Physics · Physics 2017-03-08 Alexander Streltsov , Swapan Rana , Manabendra Nath Bera , Maciej Lewenstein

A connection between the state estimation problem and the separability problem is noticed and exploited to find efficient numerical algorithms to solve the first one. Based on these ideas, we also derive a systematic method to obtain upper…

Quantum Physics · Physics 2012-04-30 Miguel Navascues
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