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Continuous-variable (CV) quantum computing is a promising candidate for quantum computation because it can, even with one mode, utilize infinite-dimensional Hilbert spaces and can efficiently handle continuous values. Although photonic…

The cluster state, the highly entangled state that is the central resource for one-way quantum computing, can be efficiently generated in a variety of physical implementations via global nearest-neighbor interactions. In practice, a…

Quantum Physics · Physics 2008-03-10 Michael C. Garrett , David L. Feder

We show how to use relativistic motion and local phase shifts to generate continuous variable Gaussian cluster states within cavity modes. Our results can be demonstrated experimentally using superconducting circuits where tuneable boundary…

Continuous-variable systems realized in quantum optics play a major role in quantum information processing, and it is also one of the promising candidates for a scalable quantum computer. We introduce a resource theory for…

Quantum Physics · Physics 2018-07-04 Ryuji Takagi , Quntao Zhuang

We describe a generalization of the cluster-state model of quantum computation to continuous-variable systems, along with a proposal for an optical implementation using squeezed-light sources, linear optics, and homodyne detection. For…

Graph states are a fundamental class of multipartite entangled quantum states with wide-ranging applications in quantum information and computation. In this work, we develop a systematic framework for constructing and analyzing…

Quantum Physics · Physics 2025-09-16 Konstantinos-Rafail Revis , Hrachya Zakaryan , Zahra Raissi

In this paper, we investigate the error correction of universal Gaussian transformations obtained in the process of continuous-variable quantum computations. We have tried to bring our theoretical studies closer to the actual picture in the…

Quantum Physics · Physics 2022-01-24 Korolev S. B. , Golubeva T. Yu

We present strictly efficient schemes for scalable measurement-based quantum computing using continuous-variable systems: These schemes are based on suitable non-Gaussian resource states, ones that can be prepared using interactions of…

Quantum Physics · Physics 2013-05-30 Matthias Ohliger , Jens Eisert

Hypergraph states form a family of multiparticle quantum states that generalizes cluster states and graph states. We study the action and graphical representation of nonlocal unitary transformations between hypergraph states. This leads to…

Quantum Physics · Physics 2017-04-17 Mariami Gachechiladze , Nikoloz Tsimakuridze , Otfried Gühne

By using highly entangled states, quantum metrology guarantees precision impossible with classical measurements. Unfortunately such states can be very susceptible to noise, and it is a great challenge of the field to maintain quantum…

Quantum Physics · Physics 2020-03-25 Nathan Shettell , Damian Markham

Graph states are a unique resource for quantum information processing, such as measurement-based quantum computation. Here, we theoretically investigate using continuous-variable graph states for single-parameter quantum metrology,…

Quantum Physics · Physics 2020-11-04 Yunkai Wang , Kejie Fang

We present a verifiable and blind protocol for assisted universal quantum computing on continuous-variable (CV) platforms. This protocol is highly experimentally-friendly to the client, as it only requires Gaussian-operation capabilities…

Quantum Physics · Physics 2019-12-11 Nana Liu , Tommaso F. Demarie , Si-Hui Tan , Leandro Aolita , Joseph F. Fitzsimons

Continuous-variable Gaussian cluster states are a potential resource for universal quantum computation. They can be efficiently and unconditionally built from sources of squeezed light using beam splitters. Here we report on the generation…

Quantum Physics · Physics 2008-07-04 Mitsuyoshi Yukawa , Ryuji Ukai , Peter van Loock , Akira Furusawa

Gaussian quantum information processing with continuous-variable (CV) quantum information carriers holds significant promise for applications in quantum communication and quantum internet. However, applying Gaussian state distillation and…

Quantum Physics · Physics 2024-05-08 En-Jui Chang , Ching-Yi Lai

The graph state formalism is a useful abstraction of entanglement. It is used in some multipartite purification schemes and it adequately represents universal resources for measurement-only quantum computation. We focus in this paper on the…

Quantum Physics · Physics 2007-05-23 Mehdi Mhalla , Simon Perdrix

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

Quantum hypergraph states form a generalisation of the graph state formalism that goes beyond the pairwise (dyadic) interactions imposed by remaining inside the Gaussian approximation. Networks of such states are able to achieve…

Quantum Physics · Physics 2026-05-06 Abhijith Ravikumar , Darren W. Moore , Radim Filip

Gaussian cluster states are ideal infinitely squeezed states. In practice it is possible to construct only approximated version of them with finite squeezing. Here we show how to determine the specific multi-mode squeezing transformation,…

Quantum Physics · Physics 2020-12-01 Stefano Zippilli , David Vitali

Graph states are a central resource in measurement-based quantum information processing. In the photonic qubit architecture based on Gottesman-Kitaev-Preskill (GKP) encoding, the generation of high-fidelity graph states composed of…

Quantum Physics · Physics 2022-05-24 Kaushik P. Seshadreesan , Prajit Dhara , Ashlesha Patil , Liang Jiang , Saikat Guha

This thesis deals with the study of quantum communication protocols with Continuous Variable (CV) systems. Continuous Variable systems are those described by canonical conjugated coordinates x and p endowed with infinite dimensional Hilbert…

Quantum Physics · Physics 2011-03-29 Carles Rodó