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We study quantum hypothesis testing between orthogonal states under restricted local measurements in the many-copy scenario. For testing arbitrary multipartite entangled pure state against its orthogonal complement state via the local…

Quantum Physics · Physics 2024-09-25 Hao-Chung Cheng , Andreas Winter , Nengkun Yu

Bidirectional teleportation is a fundamental protocol for exchanging quantum information between two parties by means of a shared resource state and local operations and classical communication (LOCC). Here we develop two seemingly…

Quantum Physics · Physics 2025-02-06 Aliza U. Siddiqui , Mark M. Wilde

In this work, we construct small sets of bipartite orthogonal pure states that cannot be perfectly distinguished by local operations and classical communication (LOCC). We mention that not all the states within the constructed sets are…

Quantum Physics · Physics 2026-03-31 Saronath Halder , Suchetana Goswami

We study how multi-partite entanglement evolves under the paradigm of separable operations, which include the local operations and classical communication (LOCC) as a special case. We prove that the average "decay" of entanglement induced…

Quantum Physics · Physics 2012-11-08 Vlad Gheorghiu , Gilad Gour

Measurements that can be implemented via local operations and classical communication (LOCC) constitute a class of operations that is available in future quantum networks in which parties share entangled resource states. We characterise the…

Quantum Physics · Physics 2026-03-31 Arthur C. R. Dutra , Ties-A. Ohst , Hai-Chau Nguyen , Otfried Gühne

We introduce a hitherto unexplored form of quantum nonlocality, termed local subset unidentifiability, that arises from the limitation of spatially separated parties to perfectly identify a subset of mutually orthogonal multipartite quantum…

Quantum Physics · Physics 2024-05-24 Pratik Ghosal , Arkaprabha Ghosal , Subhendu B. Ghosh , Amit Mukherjee

We investigate the task of local marking for locally implementable unitary operations. In this setting, multipartite quantum unitary channels, chosen randomly from a known set, are distributed among spatially separated parties without…

Quantum Physics · Physics 2026-04-10 Adil Imam , Satyaki Manna

Discrimination of quantum states under local operations and classical communication (LOCC) is an intriguing question in the context of local retrieval of classical information, encoded in the multipartite quantum systems. All the local…

Nielsen characterized in full those 2-party quantum protocols of local operations and classical communication that transform, with probability one, a pure global initial state into a pure global final state. The present work considers the…

Quantum Physics · Physics 2012-02-16 Daniel Lehmann

Local distinguishability of bipartite unitary operations has recently received much attention. A nontrivial and interesting question concerning this subject is whether there is a sequential scheme for locally discriminating between two…

Quantum Physics · Physics 2017-09-13 Lvzhou Li

The class of quantum operations known as Local Operations and Classical Communication (LOCC) induces a partial ordering on quantum states. We present the results of systematic numerical computations related to the volume (with respect to…

Quantum Physics · Physics 2020-04-20 Fabio Deelan Cunden , Paolo Facchi , Giuseppe Florio , Giovanni Gramegna

We develop graph theoretic methods for analysing maximally entangled pure states distributed between a number of different parties. We introduce a technique called {\it bicolored merging}, based on the monotonicity feature of entanglement…

Quantum Physics · Physics 2007-05-23 Sudhir Kumar Singh , Sudebkumar Prasant Pal , Somesh Kumar , R. Srikanth

A bipartite state which is secretly chosen from a finite set of known entangled pure states cannot be immediately useful in standard quantum information processing tasks. To effectively make use of the entanglement contained in this unknown…

Quantum Physics · Physics 2015-05-14 Yangjia Li , Runyao Duan , Mingsheng Ying

We consider a single copy of a mixed state of two qubits and derive the optimal trace-preserving local operations assisted by classical communication (LOCC) such as to maximize the fidelity of teleportation that can be achieved with this…

Quantum Physics · Physics 2009-11-10 F. Verstraete , H. Verschelde

In the first part of this Dissertation, I study the differences between LOCC (local operations and classical communication) and the more general class of separable operations. I show that the two classes coincide for the case of pure…

Quantum Physics · Physics 2010-06-28 Vlad Gheorghiu

We provide a systematic classification of multiparticle entanglement in terms of equivalence classes of states under stochastic local operations and classical communication (SLOCC). We show that such an SLOCC equivalency class of states is…

Quantum Physics · Physics 2013-08-16 Gilad Gour , Nolan R. Wallach

We provide a method of designing protocols for implementing multipartite quantum measurements when the parties are restricted to local operations and classical communication (LOCC). For each finite integer number of rounds, $r$, the method…

Quantum Physics · Physics 2016-05-12 Scott M. Cohen

We develop an efficient local operation and classical communication (LOCC) scheme for the distillation of Greenberger-Horne-Zeilinger (GHZ) states from tripartite systems subjected to both coherent and incoherent errors. The proposed method…

Quantum Physics · Physics 2025-01-22 Áron Rozgonyi , Gábor Széchenyi , Orsolya Kálmán , Tamás Kiss

We investigate the asymptotic rates of entanglement transformations for bipartite mixed states by local operations and classical communication (LOCC). We analyse the relations between the rates for different transitions and obtain simple…

Quantum Physics · Physics 2009-10-19 Michal Horodecki , Aditi Sen De , Ujjwal Sen

We prove a tight and close-to-optimal lower bound on the effectiveness of local quantum measurements (without classical communication) at discriminating any two bipartite quantum states. Our result implies, for example, that any two…

Quantum Physics · Physics 2022-10-26 Willian H. G. Corrêa , Ludovico Lami , Carlos Palazuelos
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