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Graph states (or cluster states) are the entanglement resource that enables one-way quantum computing. They can be grown by projective measurements on the component qubits. Such measurements typically carry a significant failure…

Quantum Physics · Physics 2007-05-23 Earl T. Campbell , Joseph Fitzsimons , Simon C. Benjamin , Pieter Kok

Quantum graph state is a special class of nonlocal state among multiple quantum particles, underpinning several nonclassical and promising applications such as quantum computing and quantum secret sharing. Recently, establishing quantum…

Quantum Physics · Physics 2025-08-14 Tingxiang Ji , Jianqing Liu , Zheshen Zhang

Scalable graph states are essential for measurement-based quantum computation and many entanglement-assisted applications in quantum technologies. Generation of these multipartite entangled states requires a controllable and efficient…

Quantum Physics · Physics 2024-03-25 C. -H. Chien , S. Goswami , C. -C. Wu , W. -S. Hiew , Y. -C. Chen , H. H. Jen

We present a scheme for rapidly entangling matter qubits in order to create graph states for one-way quantum computing. The qubits can be simple 3-level systems in separate cavities. Coupling involves only local fields and a static…

Quantum Physics · Physics 2009-11-11 S. C. Benjamin , J. Eisert , T. M. Stace

Recently Barrett and Kok (BK) proposed an elegant method for entangling separated matter qubits. They outlined a strategy for using their entangling operation (EO) to build graph states, the resource for one-way quantum computing. However…

Quantum Physics · Physics 2015-06-26 Simon C. Benjamin

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

Highly entangled quantum states are an ingredient in numerous applications in quantum computing. However, preparing these highly entangled quantum states on currently available quantum computers at high fidelity is limited by ubiquitous…

Quantum Physics · Physics 2025-02-27 Sebastian Brandhofer , Ilia Polian , Stefanie Barz , Daniel Bhatti

The most efficient automated way to construct a large class of quantum photonic experiments is via abstract representation of graphs with certain properties. While new directions were explored using Artificial intelligence and SAT solvers…

Quantum Physics · Physics 2024-07-03 L. Sunil Chandran , Rishikesh Gajjala

The so-called state-carving protocol generates high-fidelity entangled states at an atom-cavity interface without requiring high cavity cooperativity. However, this protocol is limited to 50\% efficiency, which restricts its applicability.…

Graph states are versatile resources for quantum computation and quantum-enhanced measurement. Their generation illustrates a high level of control over entanglement. We report on the generation of continuous-variable graph states of atomic…

Quantum Physics · Physics 2024-07-19 Eric S. Cooper , Philipp Kunkel , Avikar Periwal , Monika Schleier-Smith

Entanglement is a crucial resource for quantum information processing, and so protocols to generate high fidelity entangled states on various hardware platforms are in demand. While spin chains have been extensively studied to generate…

Quantum Physics · Physics 2021-01-05 Jan Riegelmeyer , Dan Wignall , Marta P. Estarellas , Irene D'Amico , Timothy P. Spiller

Photonic GHZ states serve as the central resource for a number of important applications in quantum information science, including secret sharing, sensing, and fusion-based quantum computing. The use of photon-emitter entangling gates is a…

Quantum Physics · Physics 2025-10-02 Rafail Frantzeskakis , Chenxu Liu , Zahra Raissi , Edwin Barnes , Sophia E. Economou

Scalable quantum computing and communication requires the protection of quantum information from the detrimental effects of decoherence and noise. Previous work tackling this problem has relied on the original circuit model for quantum…

Quantum Physics · Physics 2014-04-23 B. A. Bell , D. A. Herrera-Martí , M. S. Tame , D. Markham , W. J. Wadsworth , J. G. Rarity

Realizing photonic graph states, crucial in various quantum protocols, is challenging due to the absence of deterministic entangling gates in linear optics. To address this, emitter qubits have been leveraged to establish and transfer the…

Quantum Physics · Physics 2024-12-10 Sobhan Ghanbari , Jie Lin , Benjamin MacLellan , Luc Robichaud , Piotr Roztocki , Hoi-Kwong Lo

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…

Quantum Physics · Physics 2022-03-11 Kh. P. Gnatenko , N. A. Susulovska

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…

Quantum Physics · Physics 2024-01-29 N. A. Susulovska

Graph states are a fundamental entanglement resource for multipartite quantum applications which are in general challenging to transform efficiently. While fusion operations for merging entangled states are well-developed, no direct…

Quantum Physics · Physics 2024-12-03 Jorge Miguel-Ramiro , Wolfgang Dür

We introduce a repeater scheme to efficiently distribute multipartite entangled states in a quantum network with optimal scaling. The scheme allows to generate graph states such as 2D and 3D cluster states of growing size or GHZ states over…

Quantum Physics · Physics 2019-01-30 Julius Wallnöfer , Alexander Pirker , Michael Zwerger , Wolfgang Dür

We consider quantum graph states that can be mapped to directed weighted graphs, also known as directed networks. The geometric measure of entanglement of the states is calculated for the quantum graph states corresponding to arbitrary…

Quantum Physics · Physics 2024-10-01 Kh. P. Gnatenko

Quantum networks are important for quantum communication, enabling tasks such as quantum teleportation, quantum key distribution, quantum sensing, and quantum error correction, often utilizing graph states, a specific class of multipartite…

Quantum Physics · Physics 2025-11-19 Aniruddha Sen , Kenneth Goodenough , Don Towsley
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