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The one-way quantum computing model introduced by Raussendorf and Briegel [Phys. Rev. Lett. 86 (22), 5188-5191 (2001)] shows that it is possible to quantum compute using only a fixed entangled resource known as a cluster state, and adaptive…

Quantum Physics · Physics 2009-11-10 Michael A. Nielsen , Christopher M. Dawson

We present an approach to one-way quantum computation (1WQC) that can compensate for single-qubit errors, by encoding the logical information residing on physical qubits into five-qubit error-correcting code states. A logical two-qubit…

Quantum Physics · Physics 2009-09-15 Jaewoo Joo , David L. Feder

We propose a method for the implementation of one-way quantum computing in superconducting circuits. Measurement-based quantum computing is a universal quantum computation paradigm in which an initial cluster-state provides the quantum…

Standard quantum computation is based on sequences of unitary quantum logic gates which process qubits. The one-way quantum computer proposed by Raussendorf and Briegel is entirely different. It has changed our understanding of the…

Quantum Physics · Physics 2009-11-11 P. Walther , K. J. Resch , T. Rudolph , E. Schenck , H. Weinfurter , V. Vedral , M. Aspelmeyer , A. Zeilinger

Debugging quantum states transformations is an important task of modern quantum computing. The use of quantum tomography for these purposes significantly expands the range of possibilities. However, the presence of preparation and…

Quantum Physics · Physics 2022-01-11 B. I. Bantysh , Yu. I. Bogdanov

The linear optical creation of Gaussian cluster states, a potential resource for universal quantum computation, is investigated. We show that for any Gaussian cluster state, the canonical generation scheme in terms of QND-type interactions,…

Quantum Physics · Physics 2009-11-13 Peter van Loock , Christian Weedbrook , Mile Gu

We assess the effects of an intrinsic model for imperfections in cluster states by introducing {\it noisy cluster states} and characterizing their role in the one-way model for quantum computation. The action of individual dephasing…

Quantum Physics · Physics 2013-12-25 M. S. Tame , M. Paternostro , M. S. Kim , V. Vedral

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

Four-qubit cluster states of two photons entangled in polarization and linear momentum have been used to realize a complete set of single qubit rotations and the C-NOT gate for equatorial qubits with high values of fidelity. By the…

Quantum Physics · Physics 2015-05-13 Giuseppe Vallone , Enrico Pomarico , Francesco De Martini , Paolo Mataloni

The concept of qudit (a d-level system) cluster state is proposed by generalizing the qubit cluster state (Phys. Rev. Lett. \textbf{86}, 910 (2001)) according to the finite dimensional representations of quantum plane algebra. We…

Quantum Physics · Physics 2009-11-10 D. L. Zhou , B. Zeng , Z. Xu , C. P. Sun

We propose a new architecture for the measurement-based quantum computation model. The new design relies on small composite light-atom primary clusters. These are then assembled into cluster arrays using ancillary light modes and the actual…

Quantum Physics · Physics 2015-06-04 Darran F. Milne , Natalia V. Korolkova

In this study, we demonstrate the possibility of the implementation of universal Gaussian computation on a two-node cluster state ensemble. We consider the phase-locked sub-Poissonian lasers, which radiate the bright light with squeezed…

Quantum Physics · Physics 2019-06-26 S. B. Korolev , A. N. Dobrotvorskaia , T. Yu. Golubeva , Yu. M. Golubev

The quantum computing scheme described in Phys. Rev. Lett. 98, 190504 (2007), when viewed as a cluster state computation, features a 3-D cluster state, novel adjustable strength error correction capable of correcting general errors through…

Quantum Physics · Physics 2009-07-16 Austin G. Fowler , Kovid Goyal

We establish bounds to the necessary resource consumption when building up cluster states for one-way computing using probabilistic gates. Emphasis is put on state preparation with linear optical gates, as the probabilistic character is…

Quantum Physics · Physics 2007-05-23 D. Gross , K. Kieling , J. Eisert

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

We provide an analysis of basic quantum information processing protocols under the effect of intrinsic non-idealities in cluster states. These non-idealities are based on the introduction of randomness in the entangling steps that create…

Quantum Physics · Physics 2009-11-11 M. S. Tame , M. Paternostro , M. S. Kim , V. Vedral

We present a scheme to improve the noise threshold for the fault-tolerant topological one-way computation with a constant overhead. Certain cluster states of finite size, say star clusters, are constructed with logical qubits through an…

Quantum Physics · Physics 2010-12-30 Keisuke Fujii , Katsuji Yamamoto

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 propose an efficient approach for deterministically generating scalable cluster states with photons. This approach involves unitary transformations performed on atoms coupled to optical cavities. Its operation cost scales linearly with…

Quantum Physics · Physics 2010-05-28 Hefeng Wang , Chui-Ping Yang , Franco Nori

Implementing quantum algorithms is essential for quantum computation. We study the implementation of three quantum algorithms by performing homodyne measurements on a two-dimensional temporal continuous-variable cluster state. We first…