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We propose the task of local state marking (LSM), where some multipartite quantum states chosen randomly from a known set of states are distributed among spatially separated parties without revealing the identities of the individual states.…

We investigate the conditions under which a set $\SC$ of pure bipartite quantum states on a $D\times D$ system can be locally cloned deterministically by separable operations, when at least one of the states is full Schmidt rank. We allow…

Quantum Physics · Physics 2015-03-17 Vlad Gheorghiu , Li Yu , Scott M. Cohen

Recent developments in the formalisation of quantum causal structures have made it possible to test and compare hypotheses about causal structure empirically, rather than being a-priori assumptions. Such differences in causal structure may…

Quantum Physics · Physics 2026-05-28 Declan Maguire , Fabio Costa

It is known that there exist sets of pure orthogonal product states which cannot be perfectly distinguished by local operations and classical communication (LOCC). Such sets are nonlocal sets which exhibit nonlocality without entanglement.…

Quantum Physics · Physics 2018-08-07 Saronath Halder

It is shown that while entanglement remains a significant factor in discriminating a set of mutually orthogonal entangled states perfectly by local operations and classical communication (LOCC), entanglement content is not. In particular,…

Quantum Physics · Physics 2010-03-02 Somshubhro Bandyopadhyay

Distributed quantum information processing protocols such as quantum entanglement distillation and quantum state discrimination rely on local operations and classical communications (LOCC). Existing LOCC-based protocols typically assume the…

Quantum Physics · Physics 2023-02-20 Hari Hara Suthan Chittoor , Osvaldo Simeone

A general method for extending a non-dissipative nonlinear Schr\"odinger and Liouville-von Neumann 1-particle dynamics to an arbitrary number of particles is described. It is shown at a general level that the dynamics so obtained is…

Quantum Physics · Physics 2009-10-30 Marek Czachor

We consider a realistic setting of quantum tasks that generate shared bipartite quantum states. Suppose \alice and \bob are located at different places and need to produce a target shared quantum state $\rho$. In order to save quantum…

Quantum Physics · Physics 2014-12-17 Zhaohui Wei , Zhangqi Yin

We investigate the minimum entanglement cost of the deterministic implementation of two-qubit controlled-unitary operations using local operations and classical communication (LOCC). We show that any such operation can be implemented by a…

Quantum Physics · Physics 2011-10-28 Akihito Soeda , Peter S. Turner , Mio Murao

An essential element of classical computation is the "if-then" construct, that accepts a control bit and an arbitrary gate, and provides conditional execution of the gate depending on the value of the controlling bit. On the other hand,…

Quantum Physics · Physics 2016-09-02 Alessandro Bisio , Michele Dall'Arno , Paolo Perinotti

For a bipartite local quantum correlation, superlocality refers to the requirement for a larger dimension of the random variable in the classical simulation protocol than that of the quantum states that generate the correlations. In this…

Quantum Physics · Physics 2018-08-02 C. Jebaratnam , Debarshi Das , Suchetana Goswami , R. Srikanth , A. S. Majumdar

We study the problem of distinguishing maximally entangled quantum states by using local operations and classical communication (LOCC). A question of fundamental interest is whether any three maximally entangled states in…

Quantum Physics · Physics 2017-05-09 Yan-Ling Wang , Mao-Sheng Li , Shao-Ming Fei , Zhu-Jun Zheng

Spatial separation restricts the set of locally implementable quantum operations on distributed multipartite quantum systems. We propose that indefinite causal structure arising due to quantum superposition of different space-time…

Quantum Physics · Physics 2023-02-21 Pratik Ghosal , Arkaprabha Ghosal , Debarshi Das , Ananda G. Maity

A strong entanglement monotone, which never increases under local operations and classical communications (LOCC), restricts quantum entanglement manipulation more strongly than the usual monotone since the usual one does not increase on…

Quantum Physics · Physics 2007-05-23 Satoshi Ishizaka

We show that quantum operations on multi-particle systems have a non-local content; this mirrors the non-local content of quantum states. We introduce a general framework for discussing the non-local content of quantum operations, and give…

Quantum Physics · Physics 2023-03-27 Daniel Collins , Noah Linden , Sandu Popescu

We consider one copy of a quantum system prepared in one of two non-orthogonal pure product states of multipartite distributed among separated parties. We show that there exist protocols which obtain optimal probability in the sense of…

Quantum Physics · Physics 2009-11-07 Yi-Xin Chen , Dong Yang

We provide a unifying framework for exact, probabilistic, and approximate conversions by local operations and classical communication (LOCC) between bipartite states. This framework allows us to formulate necessary and sufficient conditions…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Barbara M. Terhal , Armin Uhlmann

It is known that the states in an unextendible product basis (UPB) cannot be distinguished perfectly when the parties are restricted to local operations and classical communication (LOCC). Previous discussions of such bases have left open…

Quantum Physics · Physics 2009-11-13 Scott M. Cohen

Suppose we want to identify an input state with one of two unknown reference states, where the input state is guaranteed to be equal to one of the reference states. We assume that no classical knowledge of the reference states is given, but…

Quantum Physics · Physics 2009-11-13 Y. Ishida , T. Hashimoto , M. Horibe , A. Hayashi

Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communications (LOCC). Recently two new classes of operational entanglement measures, the…

Quantum Physics · Physics 2016-01-06 D. Sauerwein , K. Schwaiger , M. Cuquet , J. I. de Vicente , B. Kraus