Demonstration of Unconditional One-Way Quantum Computations for Continuous Variables

Ukai, Ryuji; Iwata, Noriaki; Shimokawa, Yoshihiko; Armstrong, Seiji; Politi, Alberto; Yoshikawa, Jun–ichi; Loock, Peter van; Furusawa, Akira

doi:10.1103/physrevlett.106.240504

Cited by 139 publications

(146 citation statements)

References 40 publications

(87 reference statements)

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“…Successively, a controlled-X gate based on a fourmode optical CV cluster state was presented by Peng's group, in which a pair of quantum teleportation elements were used for the transformation of quantum states from input target and control states to output states [18]. Later, the squeezing operation, Fourier transformation and controlled-phase gate were also achieved by Ukai et al, in which four-mode optical cluster states served as resource quantum states [14,19].…”

Section: Introductionmentioning

confidence: 99%

“…1 (b) only by choosing appropriate measurement angles and feedforward circuit. In the one-way quantum computation scheme with the four-mode cluster state as the resource , the excess noises of the amplitude (δ xc ) and phase (δ pc ) quadratures of the output mode for the squeezing of a dB (a < 0 and a > 0 correspond to phase squeezing and amplitude squeezing, respectively) are given by [14] δ xĉ…”

Section: Protocol and Principle Of Quantum Logical Operationsmentioning

confidence: 99%

“…Therefore, the probabilistic problems existing in most qubit information systems of single photons [4][5][6] can be overcome. It has been theoretically and experimentally demonstrated that one-mode linear unitary Bogoliubov (LUBO) transformations corresponding to Hamiltonians that are quadratic in quadrature amplitude and phase operators of quantized optical modes (qumodes) can be implemented using a four-mode linear cluster state [13,14]. At the same time, the Deutsch-Jozsa algorithm for CVQC has been proposed [15].…”

Section: Introductionmentioning

confidence: 99%

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Gates for one-way quantum computation based on Einstein-Podolsky-Rosen entanglement

Hao

Deng

et al. 2014

Phys. Rev. A

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Single-mode squeezing and Fourier transformation operations are two essential logical gates in continuous-variable quantum computation, which have been experimentally implemented by means of an optical four-mode cluster state. In this paper, we present a simpler and more efficient protocol based on the use of Einstein-Podolsky-Rosen two-mode entangled states to realize the same operations. The theoretical calculations and the experimental results demonstrate that the presented scheme not only decreases the requirement to the resource quantum states at the largest extent but also enhances significantly the squeezing degree and the fidelity of the resultant modes under an identical resource condition. That is because in our system the influence of the excess noises deriving from the imperfect squeezing of the resource states is degraded. The gate operations applying two-mode entanglement can be utilized as a basic element in a future quantum computer involving a large-scale cluster state.

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Section: Introductionmentioning

confidence: 99%

Section: Protocol and Principle Of Quantum Logical Operationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Gates for one-way quantum computation based on Einstein-Podolsky-Rosen entanglement

Hao

Deng

et al. 2014

Phys. Rev. A

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“…A N -mode cluster state in CV can be constructed by sending N squeezed modes into a suitably chosen linear optical network [8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Optimization of networks for measurement-based quantum computation

et al. 2015

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In this work we provide a recipe for mitigating the effects of finite squeezing, which affect the production of cluster states and the result of a measurement based quantum computation in the continuous variable regime. To this aim, we derive a compact expression for the unitary matrix which describes the linear optics network that generates a certain cluster state from independently squeezed inputs. We show that this possesses tunable degrees of freedom, which can be exploited to minimize the noise effects. These strategies are readily implementable by several experimental groups.

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“…Cluster states, a type of multipartite entangled states, are basic quantum resources for one-way quantum computation [1,2]. Based on a prepared large scale cluster state, one-way quantum computation can be implemented by measurement and feedforward of the measured results [3][4][5][6]. It has been demonstrated that a local quantum network can be built by distributing a multipartite entangled state among quantum nodes [7][8][9][10].…”

mentioning

confidence: 99%

Quantum Entanglement Swapping between Two Multipartite Entangled States

Tian

Deng

et al. 2016

Phys. Rev. Lett.

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Quantum entanglement swapping is one of the most promising ways to realize the quantum connection among local quantum nodes. In this Letter, we present an experimental demonstration of the entanglement swapping between two independent multipartite entangled states, each of which involves a tripartite Greenberger-Horne-Zeilinger (GHZ) entangled state of an optical field. The entanglement swapping is implemented deterministically by means of a joint measurement on two optical modes coming from the two multipartite entangled states respectively and the classical feedforward of the measurement results. After entanglement swapping the two independent multipartite entangled states are merged into a large entangled state in which all unmeasured quantum modes are entangled. The entanglement swapping between a tripartite GHZ state and an Einstein-PodolskyRosen entangled state is also demonstrated and the dependence of the resultant entanglement on transmission loss is investigated. The presented experiment provides a feasible technical reference for constructing more complicated quantum networks.PACS numbers: 03.67. Hk, 03.67.Bg, 42.50.Ex, 42.50.Lc Multipartite entangled states play essential roles in quantum computation and quantum networks. Cluster states, a type of multipartite entangled states, are basic quantum resources for one-way quantum computation [1,2]. Based on a prepared large scale cluster state, one-way quantum computation can be implemented by measurement and feedforward of the measured results [3][4][5][6]. It has been demonstrated that a local quantum network can be built by distributing a multipartite entangled state among quantum nodes [7][8][9][10]. If we have two space-separated local quantum networks built by two independent multipartite entangled states, respectively, how can we establish entanglement between the quantum nodes in the two local quantum networks? It has been proposed that a large scale cluster state can be generated by the fusion of small scale cluster states, which is completed by means of linear optical elements [11]. The shaping of a larger cluster state to a smaller one according to the requirement for one-way quantum computation has been demonstrated [12]. Another feasible method of merging two multipartite entangled states into one larger multipartite entangled state is quantum entanglement swapping [13], which has been proposed to build a global quantum network of clocks that may allow the construction of a real-time single international time scale (world clock) with unprecedented stability and accuracy [14].Quantum teleportation enables transportation of an unknown quantum state to a remote station by using an entangled state as the quantum resource. Up to now, long distance quantum teleportation of single pho- * Electronic address: suxl@sxu.edu.cn † Electronic address: kcpeng@sxu.edu.cn tons over 100 km has been experimentally demonstrated [15][16][17]. Quantum entanglement swapping, which makes two independent quantum entangled states become entangled without direct int...

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Demonstration of Unconditional One-Way Quantum Computations for Continuous Variables

Cited by 139 publications

References 40 publications

Gates for one-way quantum computation based on Einstein-Podolsky-Rosen entanglement

Gates for one-way quantum computation based on Einstein-Podolsky-Rosen entanglement

Optimization of networks for measurement-based quantum computation

Quantum Entanglement Swapping between Two Multipartite Entangled States

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