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A nonlocal circulator protocol is proposed in hybrid optomechanical system. By analogy with quantum communication, using the input-output relationship, we establish the quantum channel between two optical modes with long-range. The three…

Quantum Physics · Physics 2022-06-22 Ji-Hui Zheng , Rui Peng , Jiong Cheng , Jing An , Wen-Zhao Zhang

A set of multipartite orthogonal product states is strongly nonlocal if it is locally irreducible in every bipartition. Most known constructions of strongly nonlocal orthogonal product set (OPS) are limited to tripartite systems, and they…

Quantum Physics · Physics 2021-10-19 Fei Shi , Mao-Sheng Li , Mengyao Hu , Lin Chen , Man-Hong Yung , Yan-Ling Wang , Xiande Zhang

Recently, the problem of discriminating multipartite unitary operations by local operations and classical communication (LOCC) has attracted significant attention. The latest work in the literature on this problem showed that two…

Quantum Physics · Physics 2015-05-13 Lvzhou Li , Daowen Qiu

One notion of non-locality in quantum theory is the fact that information may be encoded in a composite system in such a way that it is not accessible through local measurements, even with the assistance of classical communication. Thus,…

Quantum Physics · Physics 2022-10-05 Sarah Croke

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

In this paper, we look at a probabilistic approach to a non-local quadratic form that has lately attracted some interest. This form is related to a recently introduced non-local normal derivative. The goal is to construct two Markov…

Probability · Mathematics 2019-09-25 Zoran Vondraček

The incorporation of realistic trajectories of two-particle scattering into existing BUU or QMD codes meets considerable difficulties. We propose a method of replacing the scattering event by a tractable non-local scenario reproducing the…

Nuclear Theory · Physics 2007-05-23 K. Morawetz , V. Špička , P. Lipavský , Ch. Kuhrts

So-called non-local boxes, which have been introduced as an idealization-in different respects-of the behavior of entangled quantum states, have been known to allow for unconditional bit commitment between the two involved parties. We show…

Quantum Physics · Physics 2010-12-14 Stefan Wolf , Juerg Wullschleger

We study bipartite unitary operators which stay invariant under the local actions of diagonal unitary and orthogonal groups. We investigate structural properties of these operators, arguing that the diagonal symmetry makes them suitable for…

Quantum Physics · Physics 2022-06-08 Satvik Singh , Ion Nechita

Recent decades have provided a host of examples and applications motivating the study of nonlocal differential operators. We discuss a class of such operators acting on bounded domains, focusing on those with integrable kernels having…

Analysis of PDEs · Mathematics 2024-08-29 Mikil Foss , Michael Pieper

Bipartite quantum interactions have applications in a number of different areas of quantum physics, reaching from fundamental areas such as quantum thermodynamics and the theory of quantum measurements to other applications such as quantum…

Quantum Physics · Physics 2018-12-21 Stefan Bäuml , Siddhartha Das , Mark M. Wilde

We show an operational approach to bilocality with quasi-probability distributions and quasi-stochastic processes. This approach clearly demonstrates that negative probabilities are necessary to violate bilocality. It also highlights a…

Quantum Physics · Physics 2023-02-08 Kelvin Onggadinata , Pawel Kurzynski , Dagomir Kaszlikowski

We propose and prove protocols of controlled and combined remote implementations of partially unknown quantum operations belonging to the restricted sets [An Min Wang: PRA, \textbf{74}, 032317(2006)] using GHZ states. We detailedly describe…

Quantum Physics · Physics 2013-05-29 An Min Wang

Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Following the paradigm of numerical algebraic geometry, an algebraic subvariety at a point…

Algebraic Geometry · Mathematics 2024-12-25 Parker B. Edwards , Jonathan D. Hauenstein

A polynomial depth quantum circuit effects, by definition a poly-local unitary transformation of tensor product state space. It is a physically reasonable belief [Fy][L][FKW] that these are precisely the transformations which will be…

Quantum Physics · Physics 2007-05-23 Michael H. Freedman

Recently, a new generation of nuclear forces has been developed in the framework of chiral EFT. An important feature of these potentials is a novel semi-local regularization approach that combines the advantages of a local regulator for…

Nuclear Theory · Physics 2022-06-16 E. Epelbaum , H. Krebs , P. Reinert

We study non-local two-qubit operations from a geometric perspective. By applying a Cartan decomposition to su(4), we find that the geometric structure of non-local gates is a 3-Torus. We derive the invariants for local transformations, and…

Quantum Physics · Physics 2011-04-22 Jun Zhang , Jiri Vala , K. Birgitta Whaley , Shankar Sastry

We study when a physical operation can produce entanglement between two systems initially disentangled. The formalism we develop allows to show that one can perform certain non-local operations with unit probability by performing local…

Quantum Physics · Physics 2009-11-06 J. I. Cirac , W. Dür , B. Kraus , M. Lewenstein

We show how to convert an arbitrary stabilizer code into a bipartite quantum code. A bipartite quantum code is one that involves two senders and one receiver. The two senders exploit both nonlocal and local quantum resources to encode…

Quantum Physics · Physics 2010-09-06 Mark M. Wilde , David Fattal

We explore the relationship between complexity and duality in quantum systems, focusing on how local and non-local operators evolve under time evolution. We find that non-local operators, which are dual to local operators under specific…

High Energy Physics - Theory · Physics 2024-11-06 Jeff Murugan , Zayd Pandit , Hendrik J. R. van Zyl
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