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Related papers: Extracting GHZ states from linear cluster states

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Cluster states can be used to perform measurement-based quantum computation. The cluster state is a useful resource, because once it has been generated only local operations and measurements are needed to perform universal quantum…

Quantum Physics · Physics 2023-04-21 Katherine L. Brown , Dominic Horsman , Viv Kendon , William J. Munro

Experimental detection of entanglement in superconducting qubits has been mostly limited, for more than two qubits, to witness-based and related approaches that can certify the presence of some entanglement, but not rigorously quantify how…

Quantum Physics · Physics 2018-08-16 Amara Katabarwa , Michael R. Geller

We propose efficient algorithms with logarithmic step complexities for the generation of entangled $GHZ_N$ and $W_N$ states useful for quantum networks, and we demonstrate an implementation on the IBM quantum computer up to $N=16$. Improved…

We study entanglement generation in a quantum network where repeater nodes can perform $n$-qubit Greenberger-Horne-Zeilinger(GHZ) swaps, i.e., projective measurements, to fuse $n$ imperfect-Fidelity entangled-state fragments. We show that…

Quantum Physics · Physics 2023-06-07 Eneet Kaur , Saikat Guha

We develop a protocol for entanglement generation in the quantum internet that allows a repeater node to use $n$-qubit Greenberger-Horne-Zeilinger (GHZ) projective measurements that can fuse $n$ successfully-entangled {\em links}, i.e.,…

Quantum Physics · Physics 2022-05-17 Ashlesha Patil , Mihir Pant , Dirk Englund , Don Towsley , Saikat Guha

We conduct a comparative study to determine the initial quality necessary to extend the distance range of an $N$-qubit GHZ state (the parent state) using two-dimensional repeaters. We analyzed two strategies for distributing initial GHZ…

Quantum Physics · Physics 2025-05-20 Mohadeseh Azari , Amy Babay , Prashant Krishnamurthy , Kaushik Seshadreesan

In this paper, we show that there are eight distinct forms of the Greenberger-Horne-Zeilinger (GHZ) argument for the four-qubit cluster state $|\phi_4>$ and forty eight distinct forms for the five-qubit cluster state $|\phi_5>$ in the case…

Quantum Physics · Physics 2008-12-31 Li Tang , Zeqian Chen , Zeng-Bing Chen

In a quantum network that successfully creates links, shared Bell states between neighboring repeater nodes, with probability $p$ in each time slot, and performs Bell State Measurements at nodes with success probability $q<1$, the end to…

Quantum Physics · Physics 2022-04-15 Ashlesha Patil , Joshua I. Jacobson , Emily van Milligen , Don Towsley , Saikat Guha

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 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 investigate cluster states of qubits with respect to their non-local properties. We demonstrate that a Greenberger-Horne-Zeilinger (GHZ) argument holds for any cluster state: more precisely, it holds for any partial, thence mixed, state…

Quantum Physics · Physics 2009-11-10 Valerio Scarani , Antonio Acin , Emmanuel Schenck , Markus Aspelmeyer

Quantum networks with bipartite resources and shared randomness present the simplest infrastructure for implementing a future quantum internet. Here, we shall investigate which kinds of entanglement can or cannot be generated from this kind…

Quantum Physics · Physics 2025-03-13 Xiang Zhou , Zhen-Peng Xu , Liang-Liang Sun , Chunfeng Wu , Sixia Yu

Cluster states and graph states in general offer a useful model of the stabilizer formalism and a path toward the development of measurement-based quantum computation. Their defining structure - the stabilizer group - encodes all possible…

Quantum Physics · Physics 2026-01-23 Konrad Szymański , Lina Vandré , Otfried Gühne

We propose a way for generating $n$-qubit Greenberger-Horne-Zeilinger (GHZ) entangled states with a three-level qubit system and (n-1) four-level qubit systems in a cavity. This proposal does not require identical qubit-cavity coupling…

Quantum Physics · Physics 2015-05-28 Chui-Ping Yang

We describe a protocol for quantum information splitting (QIS) of a restricted class of three-qubit states among three parties Alice, Bob and Charlie, using a pair of GHZ states as the quantum channel. There are two different forms of this…

Quantum Physics · Physics 2015-05-04 Kaushik Nandi , Goutam Paul

Non-symmetric GHZ states ($n$-GHZ$_\alpha$), defined by unequal superpositions of $|00...0>$ and $|11...1>$, naturally emerge in experiments due to decoherence, control errors, and state preparation imperfections. Despite their relevance in…

Quantum Physics · Physics 2025-10-02 Hrachya Zakaryan , Konstantinos-Rafail Revis , Zahra Raissi

We report on the coherence of Greenberger-Horne-Zeilinger (GHZ) states comprised of up to 8 qubits in the IBM ibmqx5 16-qubit quantum processor. In particular, we evaluate the coherence of GHZ states with $N=1,\ldots,8$ qubits, as a…

Quantum Physics · Physics 2019-04-24 Asier Ozaeta , Peter L. McMahon

Effective routing of entanglements over a quantum network is a fundamental problem in quantum communication. Due to the fragility of quantum states, it is difficult to route entanglements at long distances. Graph states can be utilized for…

Quantum Physics · Physics 2024-09-24 Nirupam Basak , Goutam Paul

The determination of the state fidelity and the detection of entanglement are fundamental problems in quantum information experiments. We investigate how these goals can be achieved with a minimal effort. We show that the fidelity of GHZ…

Quantum Physics · Physics 2008-09-27 Otfried Gühne , Chao-Yang Lu , Wei-Bo Gao , Jian-Wei Pan

We investigate bound entanglement in three-qubit mixed states which are diagonal in the Greenberger-Horne-Zeilinger (GHZ) basis. Entanglement in these states is detected using entanglement witnesses and the analysis focuses on states…

Quantum Physics · Physics 2024-11-05 Vaishali Gulati , Gayatri Singh , Kavita Dorai