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We propose a entanglement generating set for a general multipartite state based on the of concurrence. In particular, we show that concurrence for general multipartite states can be constructed by different classes of local operators which…

量子物理 · 物理学 2007-08-22 Hoshang Heydari

We propose a quantum computation architecture based on geometries with nearest-neighbor interactions, including e.g. planar structures. We show how to efficiently split the role of qubits into data and entanglement-generation qubits.…

量子物理 · 物理学 2026-01-28 Wolfgang Dür

We consider the problem of generating multipartite entangled states in a quantum network upon request. We follow a top-down approach, where the required entanglement is initially present in the network in form of network states shared…

量子物理 · 物理学 2018-07-09 A. Pirker , J. Wallnöfer , W. Dür

Multi-qubit graph states generated by the action of controlled phase shift operators on a separable quantum state of a system, in which all the qubits are in arbitrary identical states, are examined. The geometric measure of entanglement of…

量子物理 · 物理学 2022-03-11 Kh. P. Gnatenko , N. A. Susulovska

We give an elementary introduction to the notion of quantum entanglement between distinguishable parties and review a recent proposal about solid state quantum computation with spin-qubits in quantum dots. The indistinguishable character of…

凝聚态物理 · 物理学 2007-05-23 John Schliemann , Daniel Loss

Maximally entangled bipartite unitary operators or gates find various applications from quantum information to being building blocks of minimal models of many-body quantum chaos, and have been referred to as "dual unitaries". Dual unitary…

量子物理 · 物理学 2020-08-19 Suhail Ahmad Rather , S. Aravinda , Arul Lakshminarayan

Higher braiding gates, a new kind of quantum gate, are introduced. These are matrix solutions of the polyadic braid equations (which differ from the generalized Yang-Baxter equations). Such gates support a special kind of multi-qubit…

量子物理 · 物理学 2021-08-17 Steven Duplij , Raimund Vogl

Measurement based quantum computation requires the generation of a cluster state (quantum resource) prior to starting a computation. Generation of this entangled state can be difficult with many schemes already proposed. We present an…

量子物理 · 物理学 2015-03-17 Neil B. Lovett , Benjamin T. H. Varcoe

We present a construction of genuinely entangled multipartite quantum states based on the group theory. Analyzed states resemble the Dicke states, whereas the interactions occur only between specific subsystems related by the action of the…

量子物理 · 物理学 2021-09-01 Adam Burchardt , Jakub Czartowski , Karol Życzkowski

In this paper we study the geometrical structures of multi-qubit states based on symplectic toric manifolds. After a short review of symplectic toric manifolds, we discuss the space of a single quantum state in terms of these manifolds. We…

量子物理 · 物理学 2011-06-15 Hoshang Heydari

We analyze a recent suggestion \cite{kauffman1,kauffman2} on a possible relation between topological and quantum mechanical entanglements. We show that a one to one correspondence does not exist, neither between topologically linked…

量子物理 · 物理学 2016-09-08 M. Asoudeh , V. Karimipour , L. Memarzadeh , A. T. Rezakhani

Quantum state transfer is one of the basic tasks in quantum information processing. We here propose a theoretical approach to realize arbitrary entangled state transfer through a qubit chain, which is a class of extended…

量子物理 · 物理学 2022-11-23 Chong Wang , Linhu Li , Jiangbin Gong , Yu-xi Liu

We present a classification of three-qubit states based in their three-qubit and reduced two-qubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence…

量子物理 · 物理学 2009-11-13 Carlos Sabín , Guillermo García-Alcaine

Entanglement lies at the core of quantum algorithms designed to solve problems that are intractable by classical approaches. One such algorithm, quantum annealing (QA), provides a promising path to a practical quantum processor. We have…

We consider graph states generated by the action of controlled phase shift operators on a separable state of a multi-qubit system. The case when all the qubits are initially prepared in arbitrary states is investigated. We obtain the…

量子物理 · 物理学 2024-01-29 N. A. Susulovska

We generalize the symmetric multi-qubit states to their q-analogs, whose basis vectors are identified with the q-Dicke states. We study the entanglement entropy in these states and find that entanglement is extruded towards certain regions…

量子物理 · 物理学 2013-10-14 Zhi-Hua Li , An-Min Wang

Given a finite group G with a bilocal representation, we investigate the bipartite entanglement in the state constructed from the group algebra of G acting on a separable reference state. We find an upper bound for the von Neumann entropy…

量子物理 · 物理学 2007-05-23 Alioscia Hamma , Radu Ionicioiu , Paolo Zanardi

This paper introduces a formalism that aims to describe the intricacies of quantum computation by establishing a connection with the mathematical foundations of tensor theory and multilinear maps. The focus is on providing a comprehensive…

量子物理 · 物理学 2024-09-17 Valentina Amitrano , Francesco Pederiva

Bi-partite entanglement in multi-qubit systems cannot be shared freely. The rules of quantum mechanics impose bounds on how multi-qubit systems can be correlated. In this paper we utilize a concept of entangled graphs with weighted edges in…

量子物理 · 物理学 2009-11-10 Martin Plesch , Jaroslav Novotny , Zuzana Dzurakova , Vladimir Buzek

The n-qubit real equally weighted states are employed in some quantum algorithms including Deutsch-Jozsa, Grover, Simon, and so on. We qualitatively investigate the entanglement properties of n-qubit real equally weighted states. Firstly,…

量子物理 · 物理学 2012-07-12 Ri Qu , Yanru Bao