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The two-qubit interaction Hamiltonian of a given physical implementation determines whether or not a two-qubit gate such as the CNOT gate can be realized easily. It can be shown that, e.g., with the XY interaction more than one two-qubit…

Quantum Physics · Physics 2009-11-07 Norbert Schuch , Jens Siewert

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

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

Bell's theorem proves that some quantum state correlations can only be explained by bipartite non-classical resources. The notion of genuinely multipartite nonlocality (GMNL) was later introduced to conceptualize the fact that nonclassical…

Quantum information processing architectures typically only allow for nearest-neighbour entanglement creation. In many cases, this prevents the direct generation of GHZ states, which are commonly used for many communication and computation…

Quantum Physics · Physics 2024-03-29 Jarn de Jong , Frederik Hahn , Nikolay Tcholtchev , Manfred Hauswirth , Anna Pappa

We present a general algorithm to achieve local operators which can produce the GHZ state for an arbitrary given three-qubit state. Thus the distillation process of the state can be realized optimally. The algorithm is shown to be…

Quantum Physics · Physics 2007-05-23 Li-Xiang Cen , Shun-Jin Wang

Instantaneous two-party quantum computation is a computation process with bipartite input and output, in which there are initial shared entanglement, and the nonlocal interactions are limited to simultaneous classical communication in both…

Quantum Physics · Physics 2023-06-23 Li Yu , Jie Xu , Fuqun Wang , Chui-Ping Yang

We present the optimal local protocol to distill a Greenberger-Horne-Zeilinger (GHZ) state from a single copy of any pure state of three qubits.

Quantum Physics · Physics 2009-11-06 A. Acin , E. Jane , W. Dur , G. Vidal

Instantaneous non-local quantum computation requires multiple parties to jointly perform a quantum operation, using pre-shared entanglement and a single round of simultaneous communication. We study this task for its close connection to…

Quantum Physics · Physics 2016-12-05 Florian Speelman

We study the entanglement dynamics of $n=2,3,4$-qubit Bell- and GHZ-type states under an amplitude-damping channel (ADC). We quantify multipartite entanglement using the genuine multipartite concurrence (GMC) and evaluate its utility…

Quantum Physics · Physics 2026-04-28 Venkat Abhignan , Raghav Sundararaman , Shriram Pragash M , R. Srikanth , Ashutosh Singh

In quantum computing and quantum information processing, graph states are a specific type of quantum states which are commonly used in quantum networking and quantum error correction. A recurring problem is finding a transformation from a…

Quantum Physics · Physics 2024-10-28 Sebastiaan Brand , Tim Coopmans , Alfons Laarman

We propose a scalable and deterministic protocol for growing large multi-qubit states starting from two-qubit non-maximally entangled pure states, where the bipartite entanglement in the resultant state is higher than the maximum of the…

Quantum Physics · Physics 2026-04-28 Harikrishnan K J , Amit Kumar Pal

We study the interconversion of multipartite symmetric $N$-qubit states under stochastic local operations and classical communication (SLOCC). We demonstrate that if two symmetric states can be connected with a nonsymmetric invertible local…

Quantum Physics · Physics 2010-05-24 P. Mathonet , S. Krins , M. Godefroid , L. Lamata , E. Solano , T. Bastin

Herein, we present a feasible, general protocol for quantum communication within a network via generalized remote preparation of an arbitrary $m$-qubit entangled state designed with genuine tripartite Greenberger--Horne--Zeilinger-type…

Quantum Physics · Physics 2015-06-24 Dong Wang , Ross D. Hoehn , Liu Ye , Sabre Kais

We propose and prove the protocol of remote implementations of partially unknown quantum operations of multiqubits belonging to the restricted sets. Moreover, we obtain the general and explicit forms of restricted sets and present evidence…

Quantum Physics · Physics 2009-11-11 An Min Wang

Unitary operations are physically implementable. We further the understanding of such operations by studying the possible forms of nonlocal unitary operators, which are bipartite or multipartite unitary operators that are not tensor product…

Quantum Physics · Physics 2014-10-22 Lin Chen , Li Yu

Implementing nonlocal unitary operators is an important and hard question in quantum computing and cryptography. We show that any bipartite nonlocal unitary operator of Schmidt rank three on the $(d_A \times d_B)$-dimensional system is…

Quantum Physics · Physics 2014-06-24 Lin Chen , Li Yu

We investigate quantum circuits built from arbitrary single-qubit operations combined with programmable all-to-all multiqubit entangling gates that are native to, among other systems, trapped-ion quantum computing platforms. We report a…

Quantum Physics · Physics 2025-10-16 Jonathan Nemirovsky , Lee Peleg , Amit Ben Kish , Yotam Shapira

Graph states are an important class of multipartite entangled states. Previous experimental generation of graph states and in particular the Greenberger-Horne-Zeilinger (GHZ) states in linear optics quantum information schemes is subjected…

Quantum Physics · Physics 2022-03-01 Sheng Zhang , Yu-Kai Wu , Chang Li , Nan Jiang , Yun-Fei Pu , Lu-Ming Duan

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