Universal Multi-mode Linear Optical Quantum Operation in Time Domain

Yonezu, Kazuma; Enomoto, Y.; Yoshida, Takato; Takeda, Shuntaro

doi:10.1364/fio.2022.jtu5a.33

Cited by 2 publications

(2 citation statements)

References 13 publications

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“…11 These technologies are essential elements for our loop-based photonic quantum computing architecture. We are now extending the quantum processor to the multi-mode regime, 16 and also trying to find applications of these CV quantum technologies in implementing a CV quantum approximate optimization algorithm 17 and quantum-enhanced optical beat-note detection. 18…”

Section: Discussionmentioning

confidence: 99%

Time-multiplexed programmable continuous-variable photonic quantum computing

Takeda

2023

Quantum Communications and Quantum Imaging XXI

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Photonic quantum computing has been dramatically scaled up recently by the promising approach of combining the continuous-variable" and time-multiplexing" schemes. We report on our recent development of time-multiplexed programmable continuous-variable photonic quantum computing, including a programmable loop-based quantum processor for single-mode multi-step Gaussian gates and a programmable time-multiplexed squeezed light source for initial state preparation. Our works pave the way to large-scale programmable continuous-variable quantum computing.

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Section: Discussionmentioning

confidence: 99%

Time-multiplexed programmable continuous-variable photonic quantum computing

Takeda

2023

Quantum Communications and Quantum Imaging XXI

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“…Validation that this device indeed produces large scale nonclassical CV states with high modal photon occupation was key for demonstrating quantum supremacy for Gaussian boson sampling protocols implemented via the coupling of a photon number resolving detector to the Borealis linear optical circuit [6]. Additionally, recent demonstration of scalable, programmable, time-multiplexed, and universal 3-mode linear optical operations [7] provides evidence that linear optical modules can be successfully implemented in simple measurement-based quantum algorithms or photonic quantum neural networks.…”

Section: Introductionmentioning

confidence: 98%

Learning linear optical circuits with coherent states

Volkoff,

Sornborger

2024

J. Phys. A: Math. Theor.

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We analyze the energy and training data requirements for supervised learning of an $M$-mode linear optical circuit by minimizing an empirical risk defined solely from the action of the circuit on coherent states. When the linear optical circuit acts non-trivially only on $k<M$ unknown modes (i.e., a linear optical $k$-junta), we provide an energy-efficient, adaptive algorithm that identifies the junta set and learns the circuit. We compare two schemes for allocating a total energy, $E$, to the learning algorithm. In the first scheme, each of the $T$ random training coherent states has energy $E/T$. In the second scheme, a single random $MT$-mode coherent state with energy $E$ is partitioned into $T$ training coherent states. The latter scheme exhibits a polynomial advantage in training data size sufficient for convergence of the empirical risk to the full risk due to concentration of measure on the $(2MT-1)$-sphere. Specifically, generalization bounds for both schemes are proven, which indicate that for $\epsilon$-approximation of the full risk by the empirical risk with high probability, $O(E^{2/3}M^{2/3}/\epsilon^{2/3})$ training states are sufficient for the first scheme and $O(E^{1/3}M^{1/3}/\epsilon^{2/3})$ training states are sufficient for the second scheme.

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Universal Multi-mode Linear Optical Quantum Operation in Time Domain

Abstract: We demonstrate a universal multi-mode linear optical quantum operation in the time domain using a scalable and programmable dual-loop-based optical circuit. This work holds great promise for time-multiplexed large-scale optical quantum information processing.

Cited by 2 publications

References 13 publications

Time-multiplexed programmable continuous-variable photonic quantum computing

Time-multiplexed programmable continuous-variable photonic quantum computing

Learning linear optical circuits with coherent states

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