Encoding qubits into oscillators with atomic ensembles and squeezed light

Abstract

The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit within an oscillator provides a number of advantages when used in a fault-tolerant architecture for quantum computing, most notably that Gaussian operations suffice to implement all single- and two-qubit Clifford gates. The main drawback of the encoding is that the logical states themselves are challenging to produce. Here we present a method for generating optical GKP-encoded qubits by coupling an atomic ensemble to a squeezed state of light. Particular outcomes of a subsequent spin measurement of the ensemble herald successful generation of the resource state in the optical mode. We analyze the method in terms of the resources required (total spin and amount of squeezing) and the probability of success. We propose a physical implementation using a Faraday-based quantum non-demolition interaction.

(v2) consistent with published version; (v1) 16 pages, 5 figures

References in corpus (5)

• Universal Quantum Computation with Continuous-Variable Cluster States
• Atom-atom interactions around the band edge of a photonic crystal waveguide
• Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
• Macroscopic Polarization Rotation Induced by a Single Spin
• Continuous variable encoding by ponderomotive interaction

Cited by in corpus (57)

• Quantum error correction of a qubit encoded in grid states of an oscillator
• Encoding a qubit in a trapped-ion mechanical oscillator
• Performance and structure of single-mode bosonic codes
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• Perspective: Toward large-scale fault-tolerant universal photonic quantum computing
• Fault-tolerant bosonic quantum error correction with the surface-GKP code
• All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code
• High-threshold fault-tolerant quantum computation with analog quantum error correction
• Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
• Quantum computing with rotation-symmetric bosonic codes
• Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
• Quantum information processing with bosonic qubits in circuit QED
• Quantum Error Correction with the Toric-GKP Code
• Generating Grid States From Schrödinger Cat States without Post-Selection
• Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
• Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
• Continuous-variable quantum computing in the quantum optical frequency comb
• Analog quantum error correction with encoding a qubit into an oscillator
• A fault-tolerant continuous-variable measurement-based quantum computation architecture
• Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States
• Encoding an oscillator into many oscillators
• Continuous-variable gate teleportation and bosonic-code error correction
• Low overhead fault-tolerant quantum error correction with the surface-GKP code
• Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes
• Modular Bosonic Subsystem Codes
• Equivalence of approximate Gottesman-Kitaev-Preskill codes
• Building a large-scale quantum computer with continuous-variable optical technologies
• Cost-Reduced All-Gaussian Universality with the Gottesman-Kitaev-Preskill Code: Resource-Theoretic Approach to Cost Analysis
• Generation of time-frequency grid state with integrated biphoton frequency combs
• Encoding qubits in multimode grid states
• High-threshold fault-tolerant quantum computation with the Gottesman-Kitaev-Preskill qubit under noise in an optical setup
• Measurement-based generation and preservation of cat and grid states within a continuous-variable cluster state
• Gaussian conversion protocols for cubic phase state generation
• Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements
• Information processing at the speed of light
• Tracking Quantum Error Correction
• Phase-space methods for representing, manipulating, and correcting Gottesman-Kitaev-Preskill qubits
• Squeezed comb states
• Improved readout of qubit-coupled Gottesman-Kitaev-Preskill states
• Coherent manipulation of graph states composed of finite-energy Gottesman-Kitaev-Preskill-encoded qubits
• Two-qubit operations for finite-energy Gottesman-Kitaev-Preskill encodings
• Analysis of loss correction with the Gottesman-Kitaev-Preskill code
• Dissipative protection of a GKP qubit in a high-impedance superconducting circuit driven by a microwave frequency comb
• Efficient Concatenated Bosonic Code for Additive Gaussian Noise
• Encoding qubits into harmonic-oscillator modes via quantum walks in phase space
• Incoherent Gaussian equivalence of $m-$mode Gaussian states
• Wigner distribution on a double cylinder phase space for studying quantum error correction protocol
• Deterministic multi-mode gates on a scalable photonic quantum computing platform
• Generating Gottesman-Kitaev-Preskill qubit using a cross-Kerr interaction between a squeezed light and Fock states in optics
• Relaxation of an ensemble of two-level emitters in a squeezed bath
• Linear-optical approach to encoding qubits into harmonic-oscillator modes via quantum walks
• Logical channels in approximate Gottesman-Kitaev-Preskill error correction
• Quantum Computation and Communication in Bosonic Systems
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources
• Constructing Qudits from Infinite Dimensional Oscillators by Coupling to Qubits
• Generalized Conditional Displacement
• Optical Quantum Computing