One-hundred step measurement-based quantum computation multiplexed in the time domain with 25 MHz clock frequency

Asavanant, Warit; Charoensombutamon, Baramee; Yokoyama, Shota; Ebihara, Takeru; Nakamura, Tomohiro; Alexander, Rafael N.; Endo, Mamoru; Yoshikawa, Jun-ichi; Menicucci, Nicolas C.; Yonezawa, Hidehiro; Furusawa, Akira

doi:10.48550/arxiv.2006.11537

Cited by 9 publications

(24 citation statements)

References 46 publications

(80 reference statements)

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“…Even more recently, by combining basis-programmable homodyne measurements with time-domain cluster states, Gaussian operations, i.e. linear transformations of the quadrature operators, have been demonstrated [7,8]. These experimental results demonstrate the potentials of the CV optical systems for quantum computation.…”

Section: Introductionmentioning

confidence: 76%

Nonlinear squeezing for measurement-based non-Gaussian operations in time domain

Konno,

Sakaguchi,

Asavanant

et al. 2020

Preprint

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Quantum non-Gaussian gate is a missing piece to the realization of continuous-variable universal quantum operations in the optical system. In a measurement-based implementation of the cubic phase gate, a lowest-order non-Gaussian gate, non-Gaussian ancillary states that has a property we call nonlinear squeezing are required. This property, however, has never been experimentally verified. In this paper, we generate a superposition between a vacuum state and a single photon state whose nonlinear squeezing are maximized by the optimization of the superposition coefficients. The nonlinear squeezing is observed via real-time quadrature measurements, meaning that the generated states are compatible with the real-time feedforward and are suitable as the ancillary states for the cubic phase gate in time domain. Moreover, by increasing the number of the photons, it is expected that nonlinear squeezing can be further improved. The idea presented here can be readily extended to the higher-order phase gates [P. Marek et al., Phys. Rev. A 97, 022329 (2018)]. As such, this work presents an important step to extend the CV quantum information processing from Gaussian regime to non-Gaussian regime.

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Section: Introductionmentioning

confidence: 76%

Nonlinear squeezing for measurement-based non-Gaussian operations in time domain

Konno,

Sakaguchi,

Asavanant

et al. 2020

Preprint

Self Cite

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“…Quantum computers attract attentions as high-performance information processors, and implementations based on various physical systems have been extensively studied. Among these systems, an optical continuous-variables (CV) system is a promising candidate, where scalable quantum computing platforms have been already demonstrated [1][2][3][4]. For practical use of the platforms, non-Gaussian states of light are an essential resource because they enable universal quantum computing on these platforms in a fault-tolerant way [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Generation of optical Schrödinger's cat states by generalized photon subtraction

Takase,

Yoshikawa,

Asavanant

et al. 2020

Preprint

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We propose a high-rate generation method of optical Schrödinger's cat states. Thus far, photon subtraction from squeezed vacuum states has been a standard method in cat-state generation, but its constraints on experimental parameters limit the generation rate. In this paper, we consider the state generation by photon number measurement in one mode of arbitrary two-mode Gaussian states, which is a generalization of conventional photon subtraction, and derive the conditions to generate high-fidelity and large-amplitude cat states. Our method relaxes the constraints on experimental parameters, allowing us to optimize them and attain a high generation rate. Supposing realistic experimental conditions, the generation rate of cat states with large amplitudes (|α| ≥ 2) can exceed megacounts per second, about 10 3 to 10 6 times better than typical rates of conventional photon subtraction. This rate would be improved further by the progress of related technologies. Ability to generate non-Gaussian states at a high rate is important in quantum computing using optical continuous variables, where scalable computing platforms have been demonstrated but preparation of non-Gaussian states of light remains as a challenging task. Our proposal reduces the difficulty of the state preparation and open a way for practical applications in quantum optics.

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“…Among many physical candidates, continuousvariable (CV) quantum computation using propagating optical fields has many distinctive features such as scalability. Recently, optical CV cluster states, fundamental computational resource states for one-way quantum computation [2,3], have been deterministically realized in a scalable fashion [4][5][6] and some basic operations based on cluster states have already been demonstrated [7,8].…”

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confidence: 99%

“…Implementation of T gate.-Some methods for generating GKP sates in optical systems have been proposed [26][27][28]. Clifford gates for GKP qubit can be implemented by CV Gaussian operations, which can be readily executed in optical experimental systems [7,8]. In order to achieve universal quantum computation on GKP qubits, we have to realize the non-Clifford gate such as the T gate [1]:…”

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confidence: 99%

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Non-Clifford gate on optical qubits by nonlinear feedforward

Konno,

Asavanant,

Fukui

et al. 2021

Preprint

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In a continuous-variable optical system, the Gottesman-Kitaev-Preskill (GKP) qubit is a promising candidate for fault-tolerant quantum computation. To implement non-Clifford operations on GKP qubits, non-Gaussian operations are required. In this context, the implementation of a cubic phase gate by combining nonlinear feedforward with ancillary states has been widely researched. Recently, however, it is pointed out that the cubic phase gate is not the most suitable for non-Clifford operations on GKP qubits. In this work, we show that by adapting the nonlinear feedforward and ancillary states in the cubic phase gate setup to the GKP qubits, we can achieve linear optical implementation of non-Clifford operations on GKP qubit with high fidelity. Our work shows the versatility of nonlinear feedforward technique important for optical implementation of the faulttolerant continuous-variable quantum computation.

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One-hundred step measurement-based quantum computation multiplexed in the time domain with 25 MHz clock frequency

Cited by 9 publications

References 46 publications

Nonlinear squeezing for measurement-based non-Gaussian operations in time domain

Nonlinear squeezing for measurement-based non-Gaussian operations in time domain

Generation of optical Schrödinger's cat states by generalized photon subtraction

Non-Clifford gate on optical qubits by nonlinear feedforward

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