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The Affleck-Kennedy-Lieb-Tasaki (AKLT) spin interacting model can be defined on an arbitrary graph. We explain the construction of the AKLT Hamiltonian. Given certain conditions, the ground state is unique and known as the…

Quantum Physics · Physics 2008-11-06 Ying Xu , Vladimir E Korepin

Many-body quantum systems in the ground states have zero-point energy due to the uncertainty relation. In many cases, the system in the ground state accompanies spatially-entangled energy density fluctuation via the noncommutativity of the…

Quantum Physics · Physics 2015-06-12 Masahiro Hotta

Quantum computing promises revolutionary advances in modeling materials and molecules. However, the up-to-date runtime estimates for utility-scale applications on certain quantum hardware systems are in the order of years rendering quantum…

Quantum Physics · Physics 2025-11-21 Katerina Gratsea , Matthew Otten

The one-way quantum computer (QCc) is a universal scheme of quantum computation consisting only of one-qubit measurements on a particular entangled multi-qubit state, the cluster state. The computational model underlying the QCc is…

Quantum Physics · Physics 2007-05-23 R. Raussendorf , H. J. Briegel

Blind quantum computation is a two-party protocol which involves a server Bob who has rich quantum computational resource and provides quantum computation service and a client Alice who wants to delegate her quantum computation to Bob…

Quantum Physics · Physics 2019-11-01 Go Sato , Takeshi Koshiba , Tomoyuki Morimae

We report the experimental demonstration of two quantum networking protocols, namely quantum 1->3 telecloning and open-destination teleportation, implemented using a four-qubit register whose state is encoded in a high-quality two-photon…

Quantum Physics · Physics 2015-03-19 A. Chiuri , C. Greganti , M. Paternostro , G. Vallone , P. Mataloni

One of the limitations to the quantum computing capability of a continuous-variable system is determined by our ability to cool it to the ground state, because pure logical states, in which we accurately encode quantum information, are…

Quantum Physics · Physics 2017-02-08 Hoi-Kwan Lau , Martin B. Plenio

Quantum computing is a unique computational approach that promises tremendous performance that cannot be achieved by classical computers, although several problems must be resolved to realize a practical quantum computing system for easy…

Quantum Physics · Physics 2020-01-16 Tomofumi Tada , Masateru Taniguchi

Fusion-based quantum computing with dual-rail qubits is a leading candidate for scalable quantum computing using linear optics. This paradigm requires single photons which are entangled into small resource states before being fed into a…

Quantum Physics · Physics 2026-02-10 Margaret Pavlovich , Peter Rakich , Shruti Puri

We combine the study of resources in measurement-based quantum computation (MBQC) with that of quantum solutions to linear constraint systems (LCS). Contextuality of the input state in MBQC has been identified as a key resource for quantum…

Quantum Physics · Physics 2026-01-19 Markus Frembs , Cihan Okay , Ho Yiu Chung

We propose an all-linear-optical scheme to ballistically generate a cluster state for measurement-based topological fault-tolerant quantum computation using hybrid photonic qubits entangled in a continuous-discrete domain. Availability of…

Quantum Physics · Physics 2020-08-12 S. Omkar , Y. S. Teo , H. Jeong

Because quantum computers are expensive, it is envisaged that individuals who want to utilize them would do so by delegating their calculations to someone who has a quantum computer. When quantum computer users delegate computations to…

Quantum Physics · Physics 2023-01-20 Yuichi Sano

This article is a short introduction to and review of the cluster-state model of quantum computation, in which coherent quantum information processing is accomplished via a sequence of single-qubit measurements applied to a fixed quantum…

Quantum Physics · Physics 2009-11-11 Michael A. Nielsen

Fault-tolerant measurement-based quantum computing (MBQC) provides a compelling framework for fault-tolerant quantum computation, in which quantum information is processed through single-qubit measurements on a three-dimensional entangled…

Quantum Physics · Physics 2026-03-31 Ahmed Adel Mahmoud , Gabrielle Tournaire , Sven Bachmann , Steven Rayan

Searchable encryption (SE) is a positive way to protect users sensitive data in cloud computing setting, while preserving search ability on the server side, i.e., it allows the server to search encrypted data without leaking information…

Emerging Technologies · Computer Science 2024-05-14 Wenjie Liu , Yinsong Xu , Wen Liu , Haibin Wang , Zhibin Lei

By local measurements on party $A$ of a system $AB$ and classical communication between its two parties, one can achieve a nonlocal advantage of quantum coherence (NAQC) on party $B$. For the $l_1$ norm of coherence and the relative entropy…

Quantum Physics · Physics 2018-08-15 Ming-Liang Hu , Heng Fan

The efficient certification of classically intractable quantum devices has been a central research question for some time. However, to observe a "quantum advantage", it is believed that one does not need to build a large scale universal…

Quantum Physics · Physics 2018-03-05 Daniel Mills , Anna Pappa , Theodoros Kapourniotis , Elham Kashefi

Measurement-based quantum computation (MBQC) and holonomic quantum computation (HQC) are two very different computational methods. The computation in MBQC is driven by adaptive measurements executed in a particular order on a large…

Quantum Physics · Physics 2015-06-17 Bobby Antonio , Damian Markham , Janet Anders

Adiabatic quantum computation (AQC) is a universal model for quantum computation which seeks to transform the initial ground state of a quantum system into a final ground state encoding the answer to a computational problem. AQC initial…

Quantum Physics · Physics 2010-01-29 Alejandro Perdomo , Salvador E. Venegas-Andraca , Alán Aspuru-Guzik

Measurement-based quantum computation (MBQC) is a paradigm for quantum computation where computation is driven by local measurements on a suitably entangled resource state. In this work we show that MBQC is related to a model of quantum…

Quantum Physics · Physics 2024-12-25 Hendrik Poulsen Nautrup , Hans J. Briegel