Gaussian breeding for encoding a qubit in propagating light

Takase, Kan; Fukui, Kosuke; Kawasaki, Akito; Asavanant, Warit; Endo, Mitsuru; Yoshikawa, Junichi; Loock, Peter van; Furusawa, Akira

doi:10.48550/arxiv.2212.05436

Cited by 3 publications

(1 citation statement)

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“…Gaussian Boson Sampling requires detectors with a sufficiently high level of photon-number resolution as well as increasingly complex linear circuits [9,10]. To shift the experimental burden associated with this, alternative approaches have been proposed [11,12]. If non-Gaussian resource states or non-Gaussian optical elements are available, a recursive application of short linear circuits and homodyne measurements is sufficient for the preparation of GKP states [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Error-corrected quantum repeaters with GKP qudits

Schmidt¹,

Miller²,

Loock³

2023

Preprint

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Section: Introductionmentioning

confidence: 99%

Error-corrected quantum repeaters with GKP qudits

Schmidt¹,

Miller²,

Loock³

2023

Preprint

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Non-Gaussian quantum state generation by multi-photon subtraction at the telecommunication wavelength

Endo

Sonoyama

et al. 2023

Opt. Express

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In the field of continuous-variable quantum information processing, non-Gaussian states with negative values of the Wigner function are crucial for the development of a fault-tolerant universal quantum computer. While several non-Gaussian states have been generated experimentally, none have been created using ultrashort optical wave packets, which are necessary for high-speed quantum computation, in the telecommunication wavelength band where mature optical communication technology is available. In this paper, we present the generation of non-Gaussian states on wave packets with a short 8-ps duration in the 1545.32 nm telecommunication wavelength band using photon subtraction up to three photons. We used a low-loss, quasi-single spatial mode waveguide optical parametric amplifier, a superconducting transition edge sensor, and a phase-locked pulsed homodyne measurement system to observe negative values of the Wigner function without loss correction up to three-photon subtraction. These results can be extended to the generation of more complicated non-Gaussian states and are a key technology in the pursuit of high-speed optical quantum computation.

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A Quadratic Speedup in the Optimization of Noisy Quantum Optical Circuits

De Prins,

Yao,

Apte

et al. 2023

Quantum

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Linear optical quantum circuits with photon number resolving (PNR) detectors are used for both Gaussian Boson Sampling (GBS) and for the preparation of non-Gaussian states such as Gottesman-Kitaev-Preskill (GKP), cat and NOON states. They are crucial in many schemes of quantum computing and quantum metrology. Classically optimizing circuits with PNR detectors is challenging due to their exponentially large Hilbert space, and quadratically more challenging in the presence of decoherence as state vectors are replaced by density matrices. To tackle this problem, we introduce a family of algorithms that calculate detection probabilities, conditional states (as well as their gradients with respect to circuit parametrizations) with a complexity that is comparable to the noiseless case. As a consequence we can simulate and optimize circuits with twice the number of modes as we could before, using the same resources. More precisely, for an M-mode noisy circuit with detected modes D and undetected modes U, the complexity of our algorithm is O(M2∏i∈UCi2∏i∈DCi), rather than O(M2∏i∈D∪UCi2), where Ci is the Fock cutoff of mode i. As a particular case, our approach offers a full quadratic speedup for calculating detection probabilities, as in that case all modes are detected. Finally, these algorithms are implemented and ready to use in the open-source photonic optimization library MrMustard.

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Gaussian breeding for encoding a qubit in propagating light

Cited by 3 publications

References 0 publications

Error-corrected quantum repeaters with GKP qudits

Error-corrected quantum repeaters with GKP qudits

Non-Gaussian quantum state generation by multi-photon subtraction at the telecommunication wavelength

A Quadratic Speedup in the Optimization of Noisy Quantum Optical Circuits

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