Fault-Tolerant Continuous-Variable Measurement-based Quantum Computation Architecture

Larsen, Mikkel V.; Chamberland, Christopher; Noh, Kyungjoo; Neergaard-Nielsen, Jonas S.; Andersen, Ulrik L.

doi:10.1103/prxquantum.2.030325

Cited by 75 publications

(72 citation statements)

References 80 publications

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“…In each step the Hamiltonian of the system is set as the following [we used Eqs. ( 45) and (36)]. For the linear cluster we have…”

Section: Appendix E: Three-mode Non-gaussian Linear Cluster Statementioning

confidence: 99%

“…In view of the relevance of MBQC, major efforts have been devoted to its experimental implementation. In the setting of finite-dimensional (discrete-variable) quantum systems, various experimental demonstrations of small-size MBQC have been reported [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. However, the largest clusters to date have been generated in the context of continuous-variable (CV) systems [38,39], with photonic clusters composed of up to one million modes [31,32,[40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

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Unconditional measurement-based quantum computation with optomechanical continuous variables

et al. 2022

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Universal quantum computation encoded over continuous variables can be achieved via Gaussian measurements acting on entangled non-Gaussian states. However, due to the weakness of available nonlinearities, generally these states can only be prepared conditionally, potentially with low probability. Here we show how universal quantum computation could be implemented unconditionally using an integrated platform able to sustain both linear and quadratic optomechanical-like interactions. Specifically, considering cavity opto-and electromechanical systems, we propose a realization of a driven-dissipative dynamics that deterministically prepares the required non-Gaussian cluster states-entangled squeezed states of multiple mechanical oscillators suitably interspersed with cubic-phase states. We next demonstrate how arbitrary Gaussian measurements on the cluster nodes can be performed by continuously monitoring the output cavity field. Finally, the feasibility requirements of this approach are analyzed in detail, suggesting that its building blocks are within reach of current technology.

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“…In each step the Hamiltonian of the system is set as the following [we used Eqs. ( 45) and (36)]. For the linear cluster we have…”

Section: Appendix E: Three-mode Non-gaussian Linear Cluster Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unconditional measurement-based quantum computation with optomechanical continuous variables

et al. 2022

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“…Also, tunable universal linear optics, which can be realized with optical switches and phase shifters, is essential when programming the DV optical quantum computer [13]. On the other hand, for the CV platforms-in particular, the measurement-based platform-optical switches are used in tasks such as the injection and dejection of the quantum states, injection of the magic states, errorcorrection circuits, and multiplexing of non-Gaussian ancillary states [14][15][16][17]. Despite the current development of the optical switching for the optical quantum computer [14,18], simultaneously realizing extremely low optical loss, high-speed switching, and high repetition rate remain highly challenging.…”

Section: Introductionmentioning

confidence: 99%

“…Although a similar concept can be seen in the fusion gate of the DV optical qubit [21], unlike the DV system, the CV entanglements are generated deterministically and continuously, making our approach experimentally viable. Therefore, this architecture removes the necessity of the optical switching from fault-tolerant universal optical quantum computation platform, making it unique compared to other time-domain CV architecture [8,9,16,17].…”

Section: Introductionmentioning

confidence: 99%

Switching-free time-domain optical quantum computation with quantum teleportation

Asavanant¹,

Fukui²,

Sakaguchi³

et al. 2022

Preprint

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Optical switches and rerouting network are main obstacles to realize optical quantum computer. In particular, both components have been considered as essential components to the measurementbased time-domain optical quantum computation, which has seen promising developments regarding scalability in the recent years. Realizing optical switches and rerouting network with sufficient performance is, however, experimentally challenging as they must have extremely low loss, small switching time, high repetition rate, and minimum optical nonlinearity. In this work, we present an optical quantum computation platform that does not require such optical switches. Our method is based on continuous-variable measurement-based quantum computation, where instead of the typical cluster states, we modify the structure of the quantum entanglements, so that quantum teleportation protocol can be employed instead of the optical switching and rerouting. We also show that when combined with Gottesman-Kitaev-Preskill encoding, our architecture can outperform the architecture with optical switches when the optical losses of the switches are not low.

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“…Recently, the single-and two-mode gates on a large-scale cluster state has been demonstrated in Refs. [15,16]. From these advantages, the GKP qubit is an indispensable resource for fault-tolerant quantum computation (FTQC) with CVs [11,[17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Generating Gottesman-Kitaev-Preskill qubit using a cross-Kerr interaction between a squeezed light and Fock states in optics

Fukui,

Endo,

Asavanant

et al. 2021

Preprint

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Fault-Tolerant Continuous-Variable Measurement-based Quantum Computation Architecture

Cited by 75 publications

References 80 publications

Unconditional measurement-based quantum computation with optomechanical continuous variables

Unconditional measurement-based quantum computation with optomechanical continuous variables

Switching-free time-domain optical quantum computation with quantum teleportation

Generating Gottesman-Kitaev-Preskill qubit using a cross-Kerr interaction between a squeezed light and Fock states in optics

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