Hardware-efficient autonomous quantum error correction

Abstract

We propose a new method to autonomously correct for errors of a logical qubit induced by energy relaxation. This scheme encodes the logical qubit as a multi-component superposition of coherent states in a harmonic oscillator, more specifically a cavity mode. The sequences of encoding, decoding and correction operations employ the non-linearity provided by a single physical qubit coupled to the cavity. We layout in detail how to implement these operations in a practical system. This proposal directly addresses the task of building a hardware-efficient and technically realizable quantum memory.

12 pages,6 figures

References in corpus (5)

• Resolving photon number states in a superconducting circuit
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• Progressive field-state collapse and quantum non-demolition photon counting
• Demonstrating a Driven Reset Protocol of a Superconducting Qubit
• Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity

Cited by in corpus (206)

• Quantum Error Correction for Quantum Memories
• Microwave photonics with superconducting quantum circuits
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Observation of quantum state collapse and revival due to the single-photon Kerr effect
• Quantum repeaters: From quantum networks to the quantum internet
• New class of quantum error-correcting codes for a bosonic mode
• Superconducting Quantum Computing: A Review
• Stabilizing entanglement autonomously between two superconducting qubits
• Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
• Performance and structure of single-mode bosonic codes
• Creation and control of multi-phonon Fock states in a bulk acoustic wave resonator
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• Non-Gaussian Quantum States and Where to Find Them
• Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
• Deterministic teleportation of a quantum gate between two logical qubits
• Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements
• Exponential suppression of bit-flips in a qubit encoded in an oscillator
• Engineered Dissipation for Quantum Information Science
• Perspective: Toward large-scale fault-tolerant universal photonic quantum computing
• Cavity State Manipulation Using Photon-Number Selective Phase Gates
• Deterministic creation of entangled atom-light Schrödinger-cat states
• Bosonic quantum error correction codes in superconducting quantum circuits
• Universal Control of an Oscillator with Dispersive Coupling to a Qubit
• Repetition Cat Qubits for Fault-Tolerant Quantum Computation
• Single-loop realization of arbitrary non-adiabatic holonomic single-qubit quantum gates in a superconducting circuit
• Fault-tolerant detection of a quantum error
• Quantum computing with rotation-symmetric bosonic codes
• Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
• Protecting a Bosonic Qubit with Autonomous Quantum Error Correction
• Stabilized Cat in Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector
• Autonomous Quantum Error Correction and Application to Quantum Sensing with Trapped Ions
• Quantum information processing with bosonic qubits in circuit QED
• Towards Scalable Bosonic Quantum Error Correction
• Superconducting quantum node for entanglement and storage of microwave radiation
• Single-Mode Displacement Sensor
• Random access quantum information processors
• Universal stabilization of a parametrically coupled qubit
• A CNOT gate between multiphoton qubits encoded in two cavities
• Detecting itinerant microwave photons with engineered non-linear dissipation
• Holonomic quantum control with continuous variable systems
• Cat codes with optimal decoherence suppression for a lossy bosonic channel
• Hardware-efficient quantum error correction via concatenated bosonic qubits
• Encoding an oscillator into many oscillators
• Pair-cat codes: autonomous error-correction with low-order nonlinearity
• Direct characteristic-function tomography of quantum states of the trapped-ion motional oscillator
• High-fidelity measurement of qubits encoded in multilevel superconducting circuits
• Error-detected state transfer and entanglement in a superconducting quantum network
• Quantum error correction using squeezed Schrödinger cat states
• Slowing Quantum Decoherence by Squeezing in Phase Space
• Quantum error correction against photon loss using multi-component cat states
• Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits
• Dual-rail encoding with superconducting cavities
• Quantum coding with low-depth random circuits
• Coherent controlization using superconducting qubits
• A flying Schrödinger cat in multipartite entangled states
• Universal Quantum Computing with Arbitrary Continuous-Variable Encoding
• Equivalence of approximate Gottesman-Kitaev-Preskill codes
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• Approximate Autonomous Quantum Error Correction with Reinforcement Learning
• High-fidelity parametric beamsplitting with a parity-protected converter
• Creation of Optical Cat and GKP States Using Shaped Free Electrons
• Path-Independent Quantum Gates with Noisy Ancilla
• Measurement-free preparation of grid states
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing
• Engineering Schrödinger cat states with a photonic even-parity detector
• Degeneracy-preserving quantum non-demolition measurement of parity-type observables for cat-qubits
• Quantum criticality and state engineering in the simulated anisotropic quantum Rabi model
• Implementation-independent sufficient condition of the Knill-Laflamme type for the autonomous protection of logical qudits by strong engineered dissipation
• Encoding qubits in multimode grid states
• Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
• Deterministic Hadamard gate for microwave "cat-state" qubits in cQED
• Quantum phase estimation using a multi-headed cat state
• Quantum Error Correction with Quantum Autoencoders
• Flux-mediated optomechanics with a transmon qubit in the single-photon ultrastrong-coupling regime
• Hardware-Efficient Bosonic Quantum Error-Correcting Codes Based on Symmetry Operators
• Dynamics of transient cat-states in degenerate parametric oscillation with and without nonlinear Kerr interactions
• Displacemon electromechanics: how to detect quantum interference in a nanomechanical resonator
• Quantum memories and error correction
• Simulation of Gaussian channels via teleportation and error correction of Gaussian states
• Planar multilayer circuit quantum electrodynamics
• Entanglement assisted probe of the non-Markovian to Markovian transition in open quantum system dynamics
• Two-way covert quantum communication in the microwave regime
• Optomechanical generation of a mechanical catlike state by phonon subtraction
• Deterministic generation of a four-component optical cat state
• Towards highly efficient broadband superconducting quantum memory
• Revealing the nonlinear response of a tunneling two-level system ensemble using coupled modes
• Introduction to Quantum Error Correction and Fault Tolerance
• Landau-Zener-Stückelberg interference in a multimode electromechanical system in the quantum regime
• Quantum transduction with adaptive control
• Schrödinger's cat in an optical sideband
• Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies
• Quantum plasmonic excitation in graphene and robust-to-loss propagation
• Efficient backcasting search for optical quantum state synthesis
• Realizing modular quadrature measurements via a tunable photon-pressure coupling in circuit-QED
• Asynchronous Quantum Repeater using Multiple Quantum Memory
• Towards long-distance quantum networks with superconducting processors and optical links
• Reducing intrinsic decoherence in a superconducting circuit by quantum error detection
• Wave-function engineering via conditional quantum teleportation with non-Gaussian entanglement resource
• Experimental Quantum Randomness Processing
• Master-equation treatment of nonlinear optomechanical systems with optical loss
• Quantum computation with cat qubits
• A single photon transistor based on superconducting systems
• Hybrid controlled-SUM gate with one superconducting qutrit and one cat-state qutrit and application in hybrid entangled state preparation
• All-optical quantum computing using cubic phase gates
• Robust readout of bosonic qubits in the dispersive coupling regime
• Nonlinear Sideband Cooling to a Cat State of Motion
• Entanglement Generated by the Dispersive Interaction: The Dressed Coherent State
• Painting Non-Classical States of Spin or Motion with Shaped Single Photons
• Generation and stabilization of entangled coherent states for the vibrational modes of a trapped ion
• Optimized Tomography of Continuous Variable Systems Using Excitation Counting
• Phase-space methods for representing, manipulating, and correcting Gottesman-Kitaev-Preskill qubits
• Stabilization of multi-mode Schrodinger cat states via normal-mode dissipation engineering
• Witnessing quantum resource conversion within deterministic quantum computation using one pure superconducting qubit
• Probabilistic Fault-Tolerant Universal Quantum Computation and Sampling Problems in Continuous Variables
• Fault-tolerant quantum computation by hybrid qubits with bosonic cat-code and single photons
• Memoryless quantum repeaters based on cavity-QED and coherent states
• Experimental implementation of a Raman-assisted six-quanta process
• Crosstalk-Robust Quantum Control in Multimode Bosonic Systems
• Quantum spherical codes
• Shaping photons: quantum computation with bosonic cQED
• Concatenation of the Gottesman-Kitaev-Preskill code with the XZZX surface code
• The Near-optimal Performance of Quantum Error Correction Codes
• Impacts of Noise and Structure on Quantum Information Encoded in a Quantum Memory
• Quantum State Synthesis of Superconducting Resonators
• Coherent coupling and non-destructive measurement of trapped-ion mechanical oscillators
• Dissipative Preparation of Many-Body Quantum States: Towards Practical Quantum Advantage
• Universal quantum computation with optical four-component cat qubits
• Continuous measurements for control of superconducting quantum circuits
• Quantum communication on the bosonic loss-dephasing channel
• Error Correction Using Squeezed Fock States
• Designing good bosonic quantum codes via creating destructive interference
• Characterizing the performance of continuous-variable Gaussian quantum gates
• Method to deterministically generate large-amplitude optical cat states
• Bosonic Quantum Error Correction with Neutral Atoms in Optical Dipole Traps
• Improved readout of qubit-coupled Gottesman-Kitaev-Preskill states
• Dynamical gauge fields with bosonic codes
• Universal Continuous Variable Quantum Computation Without Cooling
• Fast generation of Cat states in Kerr nonlinear resonators via optimal adiabatic control
• Engineering Arbitrary Hamiltonians in Phase Space
• Quantum control of continuous systems via nonharmonic potential modulation
• Generation of Schrödinger cat states through photon-assisted Landau-Zener-Stückelberg interferometry
• Classical simulation of non-Gaussian bosonic circuits
• Universal quantum computing with thermal state bosonic systems
• Interplay between time and energy in bosonic noisy quantum metrology
• Experimental preparation of generalized cat states for itinerant microwave photons
• Logical measurement-based quantum computation in circuit-QED
• Optimal quantum phase estimation with generalized multi-component Schrodinger cat states
• Robust quantum sensing with strongly interacting probe systems
• Sequential generalized measurements: Asymptotics, typicality and emergent projective measurements
• Non-Gaussian state generation with time-gated photon detection
• Analysis of loss correction with the Gottesman-Kitaev-Preskill code
• Concurrent Remote Entanglement with Quantum Error Correction
• Seeding Gaussian boson samplers with single photons for enhanced state generation
• Performance of Rotation-Symmetric Bosonic Codes in a Quantum Repeater Network
• Quantum memories for squeezed and coherent superpositions in a driven-dissipative nonlinear oscillator
• Hybrid cat-transmon architecture for scalable, hardware-efficient quantum error correction
• Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
• The Multimode Character of Quantum States Released from a Superconducting Cavity
• Noise-adapted qudit codes for amplitude-damping noise
• Duality in entanglement of macroscopic states of light
• Preserving phase coherence and linearity in cat qubits with exponential bit-flip suppression
• Encoding qubits into harmonic-oscillator modes via quantum walks in phase space
• Gottesman-Kitaev-Preskill encoding in continuous modal variables of single photons
• Algebraic structure of path-independent quantum control
• Deterministic amplification of Schroedinger cat states in circuit quantum electrodynamics
• Engineering the Nonlinearity of Bosonic Modes with a Multi-loop SQUID
• Bosonic quantum error correction using squeezed Fock states
• Explicit error-correction scheme and code distance for bosonic codes with rotational symmetry
• Letting the tiger out of its cage: bosonic coding without concatenation
• Engineering Bosonic Codes with Quantum Lattice Gates
• Catability as a metric for evaluating superposed coherent states
• Implementation of traveling odd Schr$\ddot{o}$dinger cat states in circuit-QED
• Improved autonomous error correction using variable dissipation in small logical qubit architectures
• Majorana constellations for optical scalar beams and vector fields
• Stabilization of cat-state manifolds using nonlinear reservoir engineering
• Tensor-network-based variational Monte Carlo approach to the non-equilibrium steady state of open quantum systems
• Generalized Number-Phase Lattice Encoding of a Bosonic Mode for Quantum Error Correction
• Dark spin-cats as biased qubits
• Theory of quasiparticle-induced errors in driven-dissipative Schrödinger cat qubits
• Loss-tolerant parity measurement for distant quantum bits
• Photonic variational quantum eigensolver for NISQ-compatible quantum technology
• Anisotropic Rabi model with two-photon relaxation
• Stability of macroscopic spin ensembles against inhomogeneous dephasing
• Kinetically constrained models constructed from dissipative quantum dynamics
• Adaptive Non-Gaussian Quantum State Engineering
• Convergence of bipartite open quantum systems stabilized by reservoir engineering
• Loss-tolerant concatenated Bell-state measurement with encoded coherent-state qubits for long-range quantum communication
• Arbitrary high-fidelity binomial codes from multiphoton spin-boson interactions
• Quantum Computation and Communication in Bosonic Systems
• Photonic Hybrid Quantum Computing
• Chasing shadows with Gottesman-Kitaev-Preskill codes
• General Approach to Error Detection of Bosonic Codes via Phase Estimation
• Generation of multi-photon entanglement
• Oscillator-to-oscillator codes do not have a threshold
• Environment-Assisted Generation of Non-Gaussian Wavepacket Quantum States
• Measurement-based quantum computation utilizing the graph states of Bose-Einstein condensates and continuous variables
• Linear-optical protocols for mitigating and suppressing noise in bosonic systems
• Estimating the performance boundary of Gottesman-Kitaev-Preskill codes and number-phase codes
• Exploring the quantum capacity of a Gaussian random displacement channel using Gottesman-Kitaev-Preskill codes and maximum likelihood decoding
• High-Fidelity Controlled-Phase Gate for Binomial Codes via Geometric Phase Engineering
• Autonomous Quantum Error Correction in a Four-Photon Kerr Parametric Oscillator
• Circuit-level fault tolerance of cat codes
• Periodic cavity state revivals from atomic frequency combs
• Detecting the event of a single photon loss on quantum signals
• Fault-Tolerant Encoding of Logical Qudits in Spin Systems
• Nonlinear quantum error correction