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We extend the nonlocal operator method to higher order scheme by using a higher order Taylor series expansion of the unknown field. Such a higher order scheme improves the original nonlocal operator method proposed by the authors in [A…

Numerical Analysis · Mathematics 2019-05-09 Huilong Ren , Xiaoying Zhuang , Timon Rabczuk

We introduce the class of Genuinely Local Operation and Shared Randomness (LOSR) Multipartite Nonlocal correlations, that is, correlations between N parties that cannot be obtained from unlimited shared randomness supplemented by any…

Quantum Physics · Physics 2022-07-20 Xavier Coiteux-Roy , Elie Wolfe , Marc-Olivier Renou

Local distinguishability of orthogonal product states is an area of active research in quantum information theory. However, most of the relevant results about local distinguishability found in bipartite quantum systems and very few are…

Quantum Physics · Physics 2025-08-21 Atanu Bhunia , Indrani Chattopadhyay , Debasis Sarkar

For two symmetric quantum states one may be interested in maximizing the overlap under local operations applied to one of them. The question arises whether the maximal overlap can be obtained by applying the same local operation to each…

Quantum Physics · Physics 2017-02-15 Antoine Neven , Pierre Mathonet , Otfried Gühne , Thierry Bastin

We present a synchronization algorithm to let nodes in a sensor network simultaneously execute a task at a given point in time. In contrast to other time synchronization algorithms we do not provide a global time basis that is shared on all…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-30 Tobias Baumgartner , Sandor P. Fekete , Winfried Hellmann , Alexander Kroeller

We study the nonlocal properties of two-qubit maximally-entangled and N-qubit Greenberger-Horne-Zeilinger states under local decoherence. We show that the (non)resilience of entanglement under local depolarization or dephasing is not…

Quantum Physics · Physics 2015-06-04 Rafael Chaves , Daniel Cavalcanti , Leandro Aolita , Antonio Acín

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

Deep neural network (DNN) typically involves convolutions, pooling, and activation function. Due to the growing concern about privacy, privacy-preserving DNN becomes a hot research topic. Generally, the convolution and pooling operations…

Cryptography and Security · Computer Science 2024-03-04 Qian Feng , Zhihua Xia , Zhifeng Xu , Jiasi Weng , Jian Weng

We analyse the minimum quantum resources needed to realise strong non-locality, as exemplified e.g. by the classical GHZ construction. It was already known that no two-qubit system, with any finite number of local measurements, can realise…

This paper introduces an innovative entanglement-based protocol that accomplishes multiparty quantum private comparison leveraging maximally entangled GHZ3 triplets. The primary motivation is the design of a protocol that can be executed by…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos , Alla Sirokofskich

An authentic digital signature scheme based on the correlation of Greenberger-Horne-Zeilinger (GHZ) states was presented. In this scheme, by performing a local unitary operation on the third particles of each GHZ triplet, Alice can encode…

Quantum Physics · Physics 2007-05-23 Wen Xiao-jun , Liu Yun

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

Sharing entangled pairs between non-signaling parties via entanglement swapping constitutes a striking demonstration of the nonlocality of quantum mechanics and a crucial building block for future quantum technologies. In this work, we…

Quantum Physics · Physics 2026-01-28 Santeri Huhtanen , Yousef Mafi , Ali G. Moghaddam , Teemu Ojanen

Distributed quantum entanglement plays a crucial role in realizing networks that connect quantum devices. However, sharing entanglement between distant nodes by means of photons is a challenging process primary due to unavoidable losses in…

Quantum Physics · Physics 2025-02-27 Hikaru Shimizu , Wojciech Roga , David Elkouss , Masahiro Takeoka

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 generalize Greenberger-Horne-Zeilinger (GHZ) nonlocality to every even-dimensional and odd-partite system. For the purpose we employ concurrent observables that are incompatible and nevertheless have a common eigenstate. It is remarkable…

Quantum Physics · Physics 2007-05-23 Jinhyoung Lee , Seung-Woo Lee , M. S. Kim

Feasibility study is done for the possibility of universal set of quantum gate implementation based on phononic state via 4th order Duffing nonlinearity in an optomechanical system. The optomechanical system consists of N doubly clamped…

Quantum Physics · Physics 2024-11-12 R. Alinaghipour , H. Mohammadi

We propose a wide class of distillation schemes for multi-partite entangled states that are CSS-states. Our proposal provides not only superior efficiency, but also new insights on the connection between CSS-states and bipartite graph…

Quantum Physics · Physics 2008-04-03 Kai Chen , Hoi-Kwong Lo

We compare different circuits implementing distributed versions of quantum computations, using entangled pairs only, and using distributed fan-out operations (using GHZ states). We highlight the advantages of using distributed fan-out…

Quantum Physics · Physics 2026-01-22 Seng W. Loke

We present a simple and practical protocol for the solution of a secure multiparty communication task, the secret sharing, and its experimental realization. In this protocol, a secret message is split among several parties in a way that its…