Quantum computation over continuous variables

Abstract

This paper provides necessary and sufficient conditions for constructing a universal quantum computer over continuous variables. As an example, it is shown how a universal quantum computer for the amplitudes of the electromagnetic field might be constructed using simple linear devices such as beam-splitters and phase shifters, together with squeezers and nonlinear devices such as Kerr-effect fibers and atoms in optical cavities. Such a device could in principle perform `quantum floating point' computations. Problems of noise, finite precision, and error correction are discussed.

9 pages, TeX

Cited by in corpus (620)

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• Low error measurement-free phase gates for qubus computation
• Interference-induced enhancement of field entanglement in a microwave-driven V-type single-atom laser
• Deterministic multi-mode gates on a scalable photonic quantum computing platform
• Engineering Bosonic Codes with Quantum Lattice Gates
• Wigner distribution on a double cylinder phase space for studying quantum error correction protocol
• Optimal estimates of trace distance between bosonic Gaussian states and applications to learning
• Normalizer Circuits and Quantum Computation
• Nonlinear squeezing generation via multimode PDC and single photon measurement
• Sequential quantum simulation of spin chains with a single circuit QED device
• Partitioning optical solitons for generating entangled light beams
• Sequential and Programmable Squeezing Gates for Optical Non-Gaussian Input States
• Deformed versus undeformed cat states encoding qubit
• Implementing Non-Projective Measurements via Linear Optics: an Approach Based on Optimal Quantum State Discrimination
• Alternatives to a nonhomogeneous partial differential equation quantum algorithm
• The quartic Blochnium: an anharmonic quasicharge superconducting qubit
• A tighter steering criterion using the Robertson-Schrodinger uncertainty relation
• Probing Mermin's inequalities violations through pseudospin operators
• Generating Gottesman-Kitaev-Preskill qubit using a cross-Kerr interaction between a squeezed light and Fock states in optics
• Generating nonclassical states of motion using spontaneous emission
• Parametric Amplification of a Quantum Pulse
• Quadrature Coherence Scale of Linear Combinations of Gaussian Functions in Phase Space
• Deciding finiteness of bosonic dynamics with tunable interactions
• Universal Continuous Variable Quantum Computation in the Micromaser
• Simulating electronic structure on bosonic quantum computers
• Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
• Wigner-negative states in the steady-state emission of a two-level system driven by squeezed light
• Graphical Framework for Non-Gaussian Quantum States
• Resource distillation in convex Gaussian resource theories
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• Feasibility study of a coherent feedback squeezer
• Engineering continuous-variable entanglement in mechanical oscillators with optimal control
• Entanglement-based quantum key distribution with non-Gaussian continuous variables
• Quantum Computers, Discrete Space, and Entanglement
• Dynamical multipartite entanglement in a generalized Tavis-Cummings model with XY spin interaction
• Quantum Processors and Controllers
• A learning theory for quantum photonic processors and beyond
• Impossibility of bosonic autonomous entanglement engines in the weak-coupling limit
• OpticalGAN : Generative Adversarial Networks for Continuous Variable Quantum Computation
• Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics
• Certification of continuous-variable gates using average channel-fidelity witnesses
• Loss-tolerant concatenated Bell-state measurement with encoded coherent-state qubits for long-range quantum communication
• Optimizing measurement-based cooling by reinforcement learning
• Unconditional remote entanglement using second-harmonic generation and twin two-mode squeezed vacuum states
• Modeling Non-Covalent Interatomic Interactions on a Photonic Quantum Computer
• Deterministic generation of hybrid entangled states using quantum walks
• Nonclassical resource for continuous variable telecloning with non-Gaussian advantage
• Complexity of quantum tomography from genuine non-Gaussian entanglement
• Storage and retrieval of continuous-variable polarization-entangled cluster states in atomic ensembles
• Optimizing the quantum interference between single photons and local oscillator with photon correlations
• Strategies for generating separable photon triplets in waveguides and ring resonators
• What's my phase again? Computing the vacuum-to-vacuum amplitude of quadratic bosonic evolution
• Analyzing the free states of one quantum resource theory as resource states of another
• Quantum non-Gaussian high Fock states of light pulses and their superpositions
• A possible hypercomputational quantum algorithm
• Efficient implementation of unitary transformations
• Quantum Computing: Linear Optics Implementations
• Nondigital implementation of the arithmetic of real numbers by means of quantum computer media
• ALEPH-QP: Universal hybrid quantum processors
• Unified boson sampling
• No real advantage of photon subtraction and displacement in continuous variable measurement device independent quantum key distribution
• ZX Graphical Calculus for Continuous-Variable Quantum Processes
• Von Neumann Quantum Processors
• Non-Gaussian state teleportation with a nonlinear feedforward
• Engineering Non-Gaussian Bosonic Gates through Quantum Signal Processing
• Electrical-control of third-order nonlinearity via Fano interference
• Factoring an integer with three oscillators and a qubit
• Quantum Computation and Communication in Bosonic Systems
• Continuous-variable photonic quantum extreme learning machines for fast collider-data selection
• Characterization and optimized engineering of bosonic quantum interfaces under single-mode operational constraints
• Gaussian work extraction from random Gaussian states is nearly impossible
• Quantum Information Processing with Low-Dimensional Systems
• Solving Differential Equations via Continuous-Variable Quantum Computers
• Dynamically stable two-mode squeezing in cavity optomechanics
• Photonic Hybrid Quantum Computing
• Conditional generation of multiphoton-subtracted squeezed vacuum states: loss consideration and operator description
• A Quantum Non-Gaussianity Criterion Based on Photon Correlations $g^{(2)}$ and $g^{(3)}$
• Selective continuous-variable quantum process tomography
• Continuous-variable pairwise entanglement based on optoelectromechanical system
• Perfect revivals of Rabi oscillations and hybrid Bell states in a trapped ion
• Power of photonic states: from quantum computation to cosmology
• Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function
• Unitary-transformed projective squeezing: applications for circuit-knitting and state-preparation of non-Gaussian states
• Resourcefulness of non-classical continuous-variable quantum gates
• Variational Tensor Network Simulation of Gaussian Boson Sampling and Beyond
• Sequential information theoretic protocols in continuous variable systems
• Continuous Generation and Stabilization of Mesoscopic Field Superposition States in a Quantum Circuit
• Quantum computational resources for lattice QCD in the strong-coupling limit
• Proposal for a computation procedure based on continuous-variable post-selected teleportation
• Controllability of Scattering States of Quantum Mechanical Systems
• Towards Lagrangian approach to quantum computations (revised)
• Continuous history variable for programmable quantum processors
• Continuous Variable Quantum Information Processing
• Some aspects of the interplay between bipartite correlations and quantum channels
• Nonlocal control of the quantum state of light
• Position representation of single-mode Gaussian channels beyond the Gaussian functional form
• Quantum annealing and condensed matter physics
• Generation of large Fock states from coherent states using Kerr interaction and displacement
• Extensible universal photonic quantum computing with nonlinearity
• Nonclassicality of multi-photon-added cat states
• Non-destructively probing the thermodynamics of quantum systems with qumodes
• Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates
• Isospectral oscillators as a resource for quantum information processing
• Strongly driven cavity quantum electrodynamical-optomechanical hybrid system
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources
• Characterization of Generalized Coherent States through Intensity-Field Correlations
• Sub-Bath Cooling in Bosonic Systems: Gaussian Constraints and Non-Gaussian Enhancements
• Towards Continuous-variable Quantum Neural Networks for Biomedical Imaging
• Simultaneous cooling by measuring one ancillary system
• Teleportation-based squeezer for bosonic cluster states
• Photon triplets from integrated microrings: A path towards deterministic non-Gaussianity on a chip
• Classical algorithms for measurement-adaptive Gaussian circuits
• Compact Fiber-Coupled Narrowband Two-Mode Squeezed Light Source
• Generation of the Cluster States using Double Quantum Dots in Circuit QED
• Nonlocality in Continuous-Variable Quantum Networks
• The symplectic rank of non-Gaussian quantum states
• High-Rate Four Photon Subtraction from Squeezed Vacuum: Preparing Cat State for Optical Quantum Computation
• Dynamical complexity of non-Gaussian many-body systems with dissipation
• Quantum Information Processing with Continuous Variables and Atomic Ensembles
• Clustering and enhanced classification using a hybrid quantum autoencoder
• Optical Quantum Computing
• Measurement-based quantum computation utilizing the graph states of Bose-Einstein condensates and continuous variables