Continuous-variable quantum computing in the quantum optical frequency comb

Abstract

This topical review introduces the theoretical and experimental advances in continuous-variable (CV) --- i.e., qumode-based in lieu of qubit-based --- large-scale, fault-tolerant quantum computing and quantum simulation. An introduction to the physics and mathematics of multipartite entangled CV cluster states is given, and their connection to experimental concepts is delineated. Paths toward fault tolerance are also presented. It is the hope of the author that this review attract more contributors to the field and promote its extension to the promising technology of integrated quantum photonics.

36 pages, 13 figures, submitted to J. Phys. B

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Cited by in corpus (57)

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• Reframing SU(1,1) interferometry
• Building a large-scale quantum computer with continuous-variable optical technologies
• Squeezing and multimode entanglement of surface acoustic wave phonons
• High-threshold fault-tolerant quantum computation with the Gottesman-Kitaev-Preskill qubit under noise in an optical setup
• Optical frequency combs in quadratically nonlinear resonators
• Gaussian conversion protocols for cubic phase state generation
• Efficient simulatability of continuous-variable circuits with large Wigner negativity
• Extract the Degradation Information in Squeezed States with Machine Learning
• Analog quantum simulation of partial differential equations
• Entanglement Production and Convergence Properties of the Variational Quantum Eigensolver
• High-dimensional Frequency-Encoded Quantum Information Processing with Passive Photonics and Time-Resolving Detection
• Electric fields for light: Propagation of microwave photons along a synthetic dimension
• Multipartite entanglement in a microwave frequency comb
• Spatiotemporal graph states from a single optical parametric oscillator
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• Frequency-domain engineering of bright squeezed vacuum for continuous-variable quantum information
• Bayesian homodyne and heterodyne tomography
• Nonlinear Domain Engineering for Quantum Technologies
• Generalized overlap quantum state tomography
• Characterization of Quantum Frequency Processors
• Generation and structuring of multipartite entanglement in Josephson parametric system
• High-Purity Pulsed Squeezing Generation with Integrated Photonics
• Design Methodologies for Integrated Quantum Frequency Processors
• Auto-heterodyne characterization of narrow-band photon pairs
• Possibility to generate any Gaussian cluster state by a multi-mode squeezing transformation
• Are all Gaussian states also cluster states? Essential diagnostic tools for continuous-variable one-way quantum computing
• Continuous-Variable Nonclassicality Detection under Coarse-Grained Measurement
• Physical Realization of Measurement Based Quantum Computation
• Non-Gaussian photonic state engineering with the quantum frequency processor
• Switching-free time-domain optical quantum computation with quantum teleportation
• Robust squeezed light against mode mismatch using a self imaging optical parametric oscillator
• Quantum information in Hawking radiation
• Programmable time-multiplexed squeezed light source
• Efficient measurement schemes for bosonic systems
• Control of multi-modal scattering in a microwave frequency comb
• Classical simulation and quantum resource theory of non-Gaussian optics
• Continuous-variable square-ladder cluster states in a microwave frequency comb
• Generation of stable Gaussian cluster states in optomechanical systems with multifrequency drives
• A simple way to incorporate loss when modelling multimode entangled state generation
• Incoherent Gaussian equivalence of $m-$mode Gaussian states
• Machine learning for efficient generation of universal hybrid quantum computing resources
• A complete continuous-variable quantum computation architecture based on the 2D spatiotemporal cluster state
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• Hypercubic cluster states in the phase modulated quantum optical frequency comb
• Universal quantum frequency comb measurements by spectral mode-matching
• Hybrid classical-quantum communication networks
• QOptCraft: A Python package for the design and study of linear optical quantum systems
• Hybridized Frequency Combs in Multimode Cavity Electromechanical System
• Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources
• Optical Quantum Computing
• $N$-channel comb filtering and lasing in $\mathcal{P}\mathcal{T}$-symmetric superstructures