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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

Entanglement had played a crucial role in developing frontier technologies as a critical resource, for instance, in quantum teleportation and quantum sensing schemes. Notably, thanks to the ability to cool down the vibrational modes of…

Quantum Physics · Physics 2022-03-03 Gentil Dias de Moraes Neto , Victor Montenegro

We present a finite set of projective measurements that, together with quantum memory and preparation of the |0> state, suffice for universal quantum computation. This extends work of Nielsen [quant-ph/0108020], who proposed a scheme in…

Quantum Physics · Physics 2007-05-23 Stephen A. Fenner , Yong Zhang

Realizing a large-scale quantum computer requires hardware platforms that can simultaneously achieve universality, scalability, and fault tolerance. As a viable pathway to meeting these requirements, quantum computation based on…

Quantum Physics · Physics 2022-02-15 Kosuke Fukui , Shuntaro Takeda

Quantum algorithms for computing classical nonlinear maps are widely known for toy problems but might not suit potential applications to realistic physics simulations. Here, we propose how to compute a general differentiable invertible…

Quantum Physics · Physics 2021-05-18 I. Y. Dodin , E. A. Startsev

Measurement-based one-way quantum computation (QC) using cluster states as resources provides an efficient model to perform computation and information processing of quantum codes. Arbitrary Gaussian QC can be implemented by sufficiently…

Quantum Physics · Physics 2015-06-18 Xiaolong Su , Shuhong Hao , Xiaowei Deng , Lingyu Ma , Meihong Wang , Xiaojun Jia , Changde Xie , Kunchi Peng

We give simple examples that illustrate the principles of one-way quantum computation using Gaussian continuous-variable cluster states. In these examples, we only consider single-mode evolutions, realizable via linear clusters. In…

Quantum Physics · Physics 2009-11-13 Peter van Loock

Measurement-based quantum computation is an efficient model to perform universal computation. Nevertheless, theoretical questions have been raised, mainly with respect to realistic noise conditions. In order to shed some light on this…

Quantum Physics · Physics 2012-10-22 L. G. E. Arruda , F. F. Fanchini , R. d. J. Napolitano , J. E. M. Hornos , A. O. Caldeira

Measurement based quantum computation (MBQC) is an effective paradigm for universal quantum computation. In this scheme, the universal set of quantum gates are realized by only local measurements on the prior prepared cluster states. The…

Quantum Physics · Physics 2013-11-26 Ding Zhong , Jian Wang , Ning Dai , Liang-Zhu Mu , Heng Fan

We discuss the use of the transverse spatial degrees of freedom of photons propagating in the paraxial approximation for continuous variable information processing. Given the wide variety of linear optical devices available, a diverse range…

Quantum Physics · Physics 2011-06-16 D. S. Tasca , R. M. Gomes , F. Toscano , P. H. Souto Ribeiro , S. P. Walborn

In this paper, we study the transformations that are obtained in one-way quantum computation on continuous-variable cluster states of various configurations. Of all possible cluster configurations, we choose those that are suitable for…

Quantum Physics · Physics 2019-11-27 Korolev S. B. , Golubeva T. Yu. , Golubev Yu. M

Recently developed quantum algorithms suggest that quantum computers can solve certain problems and perform certain tasks more efficiently than conventional computers. Among other reasons, this is due to the possibility of creating…

Quantum Physics · Physics 2007-05-23 Rolando D. Somma

We report a scheme for deterministic preparation of non-Gaussian quantum states on-demand. In contrast to probabilistic approaches for preparation of non-Gaussian quantum states, conditioned on photon subtraction or addition, we present a…

Quantum Physics · Physics 2021-10-08 Anindya Banerji , Graciana Puentes

We build a framework allowing for a systematic investigation of the issue: "Which quantum states are universal resources for one-way quantum computation?" We start by re-examining what is exactly meant by "universality" in quantum…

Quantum Physics · Physics 2007-07-31 M. Van den Nest , W. Dür , A. Miyake , H. J. Briegel

Quantum computation is a promising emerging technology, and by utilizing the principles of quantum mechanics, it is expected to achieve faster computations than classical computers for specific problems. There are two distinct architectures…

Quantum Physics · Physics 2025-03-13 Takashi Imoto , Yuki Susa , Ryoji Miyazaki , Yuichiro Matsuzaki

We present a quantum algorithm based on repeated measurement to solve initial-value problems for nonlinear ordinary differential equations (ODEs), which may be generated from partial differential equations in plasma physics. We map a…

Quantum Physics · Physics 2025-04-30 Joseph Andress , Alexander Engel , Yuan Shi , Scott Parker

We construct a random unitary Gaussian circuit for continuous-variable (CV) systems subject to Gaussian measurements. We show that when the measurement rate is nonzero, the steady state entanglement entropy saturates to an area-law scaling.…

Quantum Physics · Physics 2021-12-28 Tianci Zhou , Xiao Chen

A new physical implementation for quantum computation is proposed. The vibrational modes of molecules are used to encode qubit systems. Global quantum logic gates are realized using shaped femtosecond laser pulses which are calculated…

Quantum Physics · Physics 2009-11-07 Carmen M. Tesch , Regina de Vivie-Riedle

The work reported in arXiv:1311.5619v1 proposes to produce continuous-variable cluster states through relativistic motion of cavities. This proposal does not produce the states claimed by the authors. The states actually produced are in…

Quantum Physics · Physics 2014-04-25 Rafael N. Alexander , Natasha C. Gabay , Nicolas C. Menicucci

We introduce a framework for simulating hybrid oscillator-qubit quantum processors on qubit-only systems through position encoding. By encoding continuous-variable position and momentum wave functions into qubit amplitudes, our method…

Quantum Physics · Physics 2026-03-11 Xi Lu , Bojko N. Bakalov , Yuan Liu