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Yaakov S. Weinstein - One of the best experts on this subject based on the ideXlab platform.

  • Superoperator analysis of entanglement in a four-qubit Cluster State
    Physical Review A, 2012
    Co-Authors: Yaakov S. Weinstein, Jay Feldman, Jacob Robins, Jason Zukus, Gerald Gilbert
    Abstract:

    In this paper we utilize superoperator formalism to explore the entanglement evolution of four-qubit Cluster States in a number of decohering environments. A four-qubit Cluster State is a resource for the performance of an arbitrary single logical qubit rotation via measurement based Cluster State quantum computation. We are specifically interested in the relationship between entanglement evolution and the fidelity with which the arbitrary single logical qubit rotation can be implemented in the presence of decoherence as this will have important experimental ramifications. We also note the exhibition of entanglement sudden death (ESD) and ask how severely its onset affects the utilization of the Cluster State as a means of implementing an arbitrary single logical qubit rotation.

  • Entanglement sudden death as an indicator of fidelity in a four-qubit Cluster State
    Physical Review A, 2009
    Co-Authors: Yaakov S. Weinstein
    Abstract:

    I explore the entanglement evolution of a four-qubit Cluster State in a dephasing environment concentrating on the phenomenon of entanglement sudden death (ESD). Specifically, I ask whether the onset of ESD has an effect on the utilization of this Cluster State as a means of implementing a single-qubit rotation in the measurement-based Cluster State model of quantum computation. To do this, I compare the evolution of the entanglement to the fidelity, a measure of how accurately the desired State (after the measurement-based operations) is achieved. I find that ESD does not cause a change in behavior or discontinuity in the fidelity but may indicate for certain States when the fidelity goes to 0.5.

  • Quantum pseudorandomness from Cluster-State quantum computation
    Physical Review A, 2008
    Co-Authors: Winton Brown, Yaakov S. Weinstein, Lorenza Viola
    Abstract:

    We show how to efficiently generate pseudo-random States suitable for quantum information processing via Cluster-State quantum computation. By reformulating pseudo-random algorithms in the Cluster-State picture, we identify a strategy for optimizing pseudo-random circuits by properly choosing single-qubit rotations. A Markov chain analysis provides the tool for analyzing convergence rates to the Haar measure and finding the optimal single-qubit gate distribution. Our results may be viewed as an alternative construction of approximate unitary 2-designs.

  • Quantum-dot Cluster-State computing with encoded qubits
    Physical Review A, 2005
    Co-Authors: Yaakov S. Weinstein, C. Stephen Hellberg, Jeremy Levy
    Abstract:

    A class of architectures is advanced for Cluster-State quantum computation using quantum dots. These architectures include using single and multiple dots as logical qubits. Special attention is given to supercoherent qubits introduced by Bacon et al. [Phys. Rev. Lett. 87, 247902 (2001)] for which we discuss the effects of various errors and present a means of error protection.

Yu Bo Sheng - One of the best experts on this subject based on the ideXlab platform.

  • Entanglement Concentration for Arbitrary Four-Photon Cluster State Assisted with Single Photons
    International Journal of Theoretical Physics, 2015
    Co-Authors: Sheng-yang Zhao, Jiong Liu, Lan Zhou, Chun Cai, Yu Bo Sheng
    Abstract:

    We present an entanglement concentration protocol (ECP) to concentrate arbitrary four-photon less-entangled Cluster State into maximally entangled Cluster State. Different from other ECPs for Cluster State, we only exploit the single photon as auxiliary, which makes this protocol feasible and economic. In our ECP, the concentrated maximally entangled State can be retained for further application and the discarded State can be reused for a higher success probability. This ECP works with the help of cross-Kerr nonlinearity and conventional photon detectors. This ECP may be useful in future one-way quantum computation.

  • Arbitrary Four-Photon Cluster State Concentration with Cross-Kerr Nonlinearity
    International Journal of Theoretical Physics, 2014
    Co-Authors: Yu Bo Sheng, Jiong Liu, Sheng-yang Zhao, Xingfu Wang, Lan Zhou
    Abstract:

    We describe an entanglement concentration protocol (ECP) for arbitrary four-photon less-entangled Cluster State. The ECP works with the help of quantum nondemolition (QND) measurement and conventional photon detectors. In our ECP, an arbitrary less-entangled four-photon Cluster State can be concentrated in two steps. Moreover, in both concentration steps, the discarded States can be reused to obtain a higher success probability. This protocol may be useful in current one-way quantum computation.

  • arbitrary atomic Cluster State concentration for one way quantum computation
    Journal of The Optical Society of America B-optical Physics, 2014
    Co-Authors: Lan Zhou, Yu Bo Sheng, Xingfu Wang
    Abstract:

    The Cluster State is of fundamental importance in one-way quantum computation, but it is fragile in practical noisy environments. In this paper, we describe a method for distilling the maximally entangled atomic Cluster State from the arbitrary less-entangled atomic Cluster State. During the entire protocol, we only require one pair of less-entangled atomic Cluster State and some auxiliary single atoms. Interestingly, the less-entangled atomic Cluster State and the auxiliary single atoms do not interact with each other directly. By setting the robust coherent State as the input–output of the low-Q cavities, the concentration task can be achieved. Moreover, the total success probability can be increased by repeating the whole process. This entanglement concentration protocol may have practical applications in one-way quantum computation.

  • Two-step entanglement concentration for arbitrary electronic Cluster State
    Quantum Information Processing, 2013
    Co-Authors: Sheng-yang Zhao, Jiong Liu, Lan Zhou, Yu Bo Sheng
    Abstract:

    We present an efficient protocol for concentrating an arbitrary four-electron less-entangled Cluster State into a maximally entangled Cluster State. As a two-step entanglement concentration protocol (ECP), it only needs one pair of less-entangled Cluster State, which makes this ECP more economical. With the help of electronic polarization beam splitter (PBS) and the charge detection, the whole concentration process is essentially the quantum nondemolition (QND) measurement. Therefore, the concentrated maximally entangled State can be remained for further application. Moreover, the discarded terms in some traditional ECPs can be reused to obtain a high success probability. It is feasible and useful in current one-way quantum computation.

Chang-pu Sun - One of the best experts on this subject based on the ideXlab platform.

  • Quantum computation based on d-level Cluster State
    Physical Review A, 2003
    Co-Authors: Duan-lu Zhou, Bei Zeng, Chang-pu Sun
    Abstract:

    The concept of a qudit (a d-level system) Cluster State is proposed by generalizing the qubit Cluster State [Phys. Rev. Lett. 86, 910 (2001)] to higher-dimensional Hilbert space according to the finite-dimensional representations of quantum plane algebra. We demonstrate their quantum correlations and prove a theorem which guarantees the availability of the qudit Cluster States in quantum computation. We explicitly construct the network to show the universality of the one-way computer based on the defined qudit Cluster States and single-qudit measurement. A protocol of implementing one-way quantum computer is suggested using the high-dimensional "Ising" model which can be found in many magnetic systems.

  • Quantum computation based on qudit Cluster State
    arXiv: Quantum Physics, 2003
    Co-Authors: Duan-lu Zhou, Bei Zeng, Chang-pu Sun
    Abstract:

    The concept of qudit (a d-level system)Cluster State is proposed by generalizing the qubit Cluster State (Phys. Rev. Lett. 86, 910 (2001)) according to the finite dimensional representations of quantum plane algebra. For the defined qudit Cluster States we show the maintenance of the quantum correlations and the celebrated theorem, which guarantees the availability of the qudit Cluster States in quantum information processing including quantum computation. The corresponding protocol of implementing one-way quantum computer can be suggested with the high dimensional "Ising" model.

Lan Zhou - One of the best experts on this subject based on the ideXlab platform.

  • Entanglement Concentration for Arbitrary Four-Photon Cluster State Assisted with Single Photons
    International Journal of Theoretical Physics, 2015
    Co-Authors: Sheng-yang Zhao, Jiong Liu, Lan Zhou, Chun Cai, Yu Bo Sheng
    Abstract:

    We present an entanglement concentration protocol (ECP) to concentrate arbitrary four-photon less-entangled Cluster State into maximally entangled Cluster State. Different from other ECPs for Cluster State, we only exploit the single photon as auxiliary, which makes this protocol feasible and economic. In our ECP, the concentrated maximally entangled State can be retained for further application and the discarded State can be reused for a higher success probability. This ECP works with the help of cross-Kerr nonlinearity and conventional photon detectors. This ECP may be useful in future one-way quantum computation.

  • Arbitrary Four-Photon Cluster State Concentration with Cross-Kerr Nonlinearity
    International Journal of Theoretical Physics, 2014
    Co-Authors: Yu Bo Sheng, Jiong Liu, Sheng-yang Zhao, Xingfu Wang, Lan Zhou
    Abstract:

    We describe an entanglement concentration protocol (ECP) for arbitrary four-photon less-entangled Cluster State. The ECP works with the help of quantum nondemolition (QND) measurement and conventional photon detectors. In our ECP, an arbitrary less-entangled four-photon Cluster State can be concentrated in two steps. Moreover, in both concentration steps, the discarded States can be reused to obtain a higher success probability. This protocol may be useful in current one-way quantum computation.

  • arbitrary atomic Cluster State concentration for one way quantum computation
    Journal of The Optical Society of America B-optical Physics, 2014
    Co-Authors: Lan Zhou, Yu Bo Sheng, Xingfu Wang
    Abstract:

    The Cluster State is of fundamental importance in one-way quantum computation, but it is fragile in practical noisy environments. In this paper, we describe a method for distilling the maximally entangled atomic Cluster State from the arbitrary less-entangled atomic Cluster State. During the entire protocol, we only require one pair of less-entangled atomic Cluster State and some auxiliary single atoms. Interestingly, the less-entangled atomic Cluster State and the auxiliary single atoms do not interact with each other directly. By setting the robust coherent State as the input–output of the low-Q cavities, the concentration task can be achieved. Moreover, the total success probability can be increased by repeating the whole process. This entanglement concentration protocol may have practical applications in one-way quantum computation.

  • Two-step entanglement concentration for arbitrary electronic Cluster State
    Quantum Information Processing, 2013
    Co-Authors: Sheng-yang Zhao, Jiong Liu, Lan Zhou, Yu Bo Sheng
    Abstract:

    We present an efficient protocol for concentrating an arbitrary four-electron less-entangled Cluster State into a maximally entangled Cluster State. As a two-step entanglement concentration protocol (ECP), it only needs one pair of less-entangled Cluster State, which makes this ECP more economical. With the help of electronic polarization beam splitter (PBS) and the charge detection, the whole concentration process is essentially the quantum nondemolition (QND) measurement. Therefore, the concentrated maximally entangled State can be remained for further application. Moreover, the discarded terms in some traditional ECPs can be reused to obtain a high success probability. It is feasible and useful in current one-way quantum computation.

Yu. M. Golubev - One of the best experts on this subject based on the ideXlab platform.

  • Criteria of minimum squeezing for quantum Cluster State generation
    Laser Physics Letters, 2018
    Co-Authors: S. B. Korolev, A. D. Manukhova, K. S. Tikhonov, T. Golubeva, Yu. M. Golubev
    Abstract:

    In this paper, we assess possibilities of generating Cluster States with different topologies being possessed of a finite squeezing resource of the initial oscillators used to generate a Cluster State. We obtained the condition on minimum squeezing required for generating a Cluster with a given topology as a simple estimation in terms of the coefficients of the adjacency matrix

  • Noiseless signal shaping and Cluster-State generation with a quantum memory cell
    Physical Review A, 2017
    Co-Authors: A. D. Manukhova, K. S. Tikhonov, T. Yu. Golubeva, Yu. M. Golubev
    Abstract:

    In this article, we employ multimode radiation of a synchronously pumped optical parametric oscillator (SPOPO) to build a Cluster State through a conversion on the base of quantum memory cell. We demonstrate that by choosing an appropriate driving field we can ensure the effective writing of the only one supermode from the entire set of the SPOPO squeezed supermodes. Further, by changing the driving field profile at the readout, we convert the time profile of the retrieved signal while maintaining its quantum State. We demonstrate the possibilities of using the presented scheme by the example of creating a four-mode linear Cluster State of light.