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Two protocols are proposed for two closely linked but different variants of remote implementation of quantum operators of specific forms. The first protocol is designed for the remote implementation of the single qubit hidden quantum…

Quantum Physics · Physics 2024-09-04 Satish Kumar , Kuldeep Gangwar , Anirban Pathak

We introduce a set of local procedures that are capable of controlling distributed systems that exhibit complex dynamical behavior. These local controllers need only perturb local parameters and use local information about the state of the…

chao-dyn · Physics 2008-02-03 Michael Youssefmir , Bernardo Huberman

The task of non-local quantum computation requires implementation of a unitary on $n$ qubits between two parties with only one round of communication, ideally with minimal pre-shared entanglement. We introduce a new protocol that makes use…

Quantum Physics · Physics 2022-06-02 Kfir Dolev , Sam Cree

Strong quantum nonlocality was introduced recently as a stronger manifestation of nonlocality in multipartite systems through the notion of local irreducibility in all bipartitions. Known existence results for sets of strongly nonlocal…

Quantum Physics · Physics 2020-10-07 Fei Shi , Mengyao Hu , Lin Chen , Xiande Zhang

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

Hardy's argument constitutes an elegantly logical test for identifying nonlocal features of multipartite correlations. In this paper, we investigate Hardy's nonlocal behavior within a broad class of operational theories, including the qubit…

Many nonlocal models have adopted Euclidean balls as the nonlocal interaction neighborhoods. When solving them numerically, it is sometimes convenient to adopt polygonal approximations of such balls. A crucial question is, to what extent…

Numerical Analysis · Mathematics 2022-05-27 Qiang Du , Hehu Xie , Xiaobo Yin

Quantum gate teleportation enables the implementation of nonlocal quantum operations without direct interactions between distant nodes. We propose an efficient protocol for implementing arbitrary controlled-unitary (CU) gates acting on two…

Quantum Physics · Physics 2026-03-10 Wen-Qiang Liu , Zi-Han Zheng , Zhang-Qi Yin , Hai-Rui Wei

A non-local unitary transformation of two qubits occurs when some Hamiltonian interaction couples them. Here we characterize the amount, as measured by time, of interaction required to perform two--qubit gates, when also arbitrarily fast,…

Quantum Physics · Physics 2009-11-07 K. Hammerer , G. Vidal , J. I. Cirac

Shared entanglement allows, under certain conditions, the remote implementation of quantum operations. We revise and extend recent theoretical results on the remote control of quantum systems as well as experimental results on the remote…

Quantum Physics · Physics 2016-08-16 Susana F. Huelga , Martin B. Plenio , Guo-Yong Xiang , Jian Li , Guang-Can Guo

A systematic procedure is introduced to uniquely decompose nonlocal LC-operators into harmonic operators of well defined geometric twist. The method will be demonstrated for (pseudo)scalar, (axial) vector and skew tensor bilocal quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. Geyer , M. Lazar , D. Robaschik

We study how two pieces of localized quantum information can be delocalized across a composite Hilbert space when a global unitary operation is applied. We classify the delocalization power of global unitary operations on quantum…

Quantum Physics · Physics 2010-06-09 Akihito Soeda , Mio Murao

Local integrals of motion play a central role in the understanding of many-body localization in many-body quantum systems in one dimension subject to a random external potential, but the question of how these local integrals of motion…

Disordered Systems and Neural Networks · Physics 2023-05-24 S. J. Thomson , M. Schiró

Understanding multipartite entanglement is vital, as it underpins a wide range of phenomena across physics. The study of transformations of states via Local Operations assisted by Classical Communication (LOCC) allows one to quantitatively…

Quantum Physics · Physics 2021-09-01 Antoine Neven , David Gunn , Martin Hebenstreit , Barbara Kraus

We consider the simulation of the dynamics of one nonlocal Hamiltonian by another, allowing arbitrary local resources but no entanglement nor classical communication. We characterize notions of simulation, and proceed to focus on…

Quantum Physics · Physics 2009-11-07 C. H. Bennett , J. I. Cirac , M. S. Leifer , D. W. Leung , N. Linden , S. Popescu , G. Vidal

Instantaneous nonlocal quantum computation refers to a process in which spacelike separated parties simulate a nonlocal quantum operation on their joint systems through the consumption of pre-shared entanglement. To prevent a violation of…

Quantum Physics · Physics 2025-06-25 Alvin Gonzales , Eric Chitambar

We propose a bi-local representation in noncommutative field theory. It provides a simple description for high momentum degrees of freedom. It also shows that the low momentum modes can be well approximated by ordinary local fields. Long…

High Energy Physics - Theory · Physics 2009-10-31 Satoshi Iso , Hikaru Kawai , Yoshihisa Kitazawa

A single-party strategy in a multi-round quantum protocol can be implemented by sequential networks of quantum operations connected by internal memories. Here provide the most efficient realization in terms of computational-space resources.

Quantum Physics · Physics 2011-06-09 A. Bisio , G. Chiribella , G. M. D'Ariano , P. Perinotti

The study of nonlocal operators of fractional type possesses a long tradition, motivated both by mathematical curiosity and by real world applications...

Analysis of PDEs · Mathematics 2022-10-04 Alessandro Carbotti , Serena Dipierro , Enrico Valdinoci

We provide exact results for the dynamics of local-operator entanglement in quantum circuits with two-dimensional wires featuring ultralocal solitons, i.e. single-site operators which, up to a phase, are simply shifted by the time…

Statistical Mechanics · Physics 2020-04-29 Bruno Bertini , Pavel Kos , Tomaz Prosen