A protocol is proposed to prepare magnonic GKP states in a hybrid magnon-qubit system via cavity-mediated conditional displacements, enabling logical gates for fault-tolerant quantum computation.
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A hybrid fluxonium demonstrates coherent flux-charge coupling isolated by parity selection rules and operable at a first-order gate-voltage-insensitive ChIVE point.
A single-copy homodyne protocol estimates unbiased U-statistics for partial-transpose moments p2 and p3 to detect bipartite CV entanglement, with sample complexity O((N+1)^{14/3}/ε²) and demonstrations on six state families.
Defines witness E_NG whose ceiling lower-bounds the Gaussian-irreducible Schmidt number, creating an operational hierarchy for non-Gaussian entanglement in continuous-variable systems.
AQUIRE is the first error-aware adaptive Bayesian protocol for simultaneously estimating the mean and error of observables on qudit quantum computers using generalized Pauli operators and overlap grouping.
Adding an ancilla qubit to GKP-stabilizer codes reduces Gaussian displacement noise standard deviation from σ to O(σ²) for universal hybrid CV-DV gates.
A tunable preprocessing stage in GKP Steane error correction minimizes the product of output position and momentum noise variances when 2a equals b in the small-noise regime and outperforms the ME-Steane scheme.
A hybrid CV-DV quantum error correction scheme uses discrete-variable ancillas to correct continuous-variable displacement errors and forms new oscillator-in-oscillator codes without GKP states.
Stroboscopic small-Big-small sequences with an auxiliary qubit stabilize cat and squeezed-cat manifolds, preserve bit-flip bias, and partially correct single-photon loss without reservoir engineering.
Multi-controlled single-qudit gates can be synthesized with O(n²) CINC gates (O(n) for special unitaries), enabling improved qudit isometry and channel circuits and, for prime d, equivalent SUM-gate circuits.
GKP teleamplification plus a parity-encoded concatenated Bell measurement with clipping and relay teleamplifiers yields higher secret-key rates over thousands of kilometres using orders-of-magnitude fewer qubits than photonic parity codes.
GKP error correction of cat and Fock states produces distillable magic states with higher success probability than vacuum, reducing distillation cost by up to ~3×.
Finite stellar rank creates a trade-off between state-preparation cost and QEC performance for bosonic codes, with rank k=2 optimized encodings surpassing break-even under dephasing.
Two machine learning models reconstruct continuous Wigner functions from sparse phase-space measurements: a provably efficient regression model for sparse states (O(s⁴ log d) samples) and a self-supervised neural network for general states including experimental GKP code data.
Proposes the dual-rail cat code (DRCC) as a concatenated bosonic encoding enabling bias-preserving gates, deterministic photon-loss correction, and erasure-resilient fault tolerance.
A code-agnostic hybrid rotation protocol using a qubit ancilla and controlled-Fourier gates suppresses bosonic thermal and displacement noise quadratically while preserving high success probability.
Saturation of bit-flip suppression in cat qubits originates from chaotic dynamics in memory-buffer interactions when adiabatic approximation breaks and cross-Kerr plus dephasing are present.
A black-box machine learning technique trains continuously-coupled photonic waveguide arrays to implement target unitaries using limited single- and two-photon measurements without requiring detailed internal models.
Sequential weak measurements on a quantum harmonic oscillator enable simultaneous quadrature estimation, with backaction increasing information for some strengths and post-processing extending dynamic range while improving decoherence robustness.
A witness-based framework quantifies continuous-variable resources and activates them into discrete-variable entanglement or EPR steering via measure-and-prepare channels that produce Werner states.
The concatenated dual displacement code suppresses Gaussian displacement error variance by up to 50% under infinite squeezing while correcting lattice-crossing events in CV quantum error correction.
Gradient descent optimization reconstructs POVMs for phase-insensitive quantum detectors with higher or comparable fidelity to constrained convex optimization but in much less time.
Proposes and models a single-shot conditional displacement gate between a trapped atom and traveling light pulse via cavity mediation, including loss effects for hybrid quantum information processing.
Introduces non-Gaussian control parameters (s0, δ0) and an optimization method that reduces photon detections by a factor of three and increases preparation probability by nearly 10^8 for GKP states, with gains shown across cat, cubic phase, and random states.
citing papers explorer
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Magnonic Gottesman-Kitaev-Preskill states
A protocol is proposed to prepare magnonic GKP states in a hybrid magnon-qubit system via cavity-mediated conditional displacements, enabling logical gates for fault-tolerant quantum computation.
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Observation of coherent flux-charge interaction in a gate-tunable fluxonium
A hybrid fluxonium demonstrates coherent flux-charge coupling isolated by parity selection rules and operable at a first-order gate-voltage-insensitive ChIVE point.
-
Detecting entanglement of non-Gaussian continuous-variable states from single-copy homodyne measurements
A single-copy homodyne protocol estimates unbiased U-statistics for partial-transpose moments p2 and p3 to detect bipartite CV entanglement, with sample complexity O((N+1)^{14/3}/ε²) and demonstrations on six state families.
-
Non-Gaussian Entanglement Hierarchy Based on the Schmidt Number
Defines witness E_NG whose ceiling lower-bounds the Gaussian-irreducible Schmidt number, creating an operational hierarchy for non-Gaussian entanglement in continuous-variable systems.
-
An Error-aware and Adaptive Method for the Estimation of Quantum Observables on Qudit-Based Quantum Computers
AQUIRE is the first error-aware adaptive Bayesian protocol for simultaneously estimating the mean and error of observables on qudit quantum computers using generalized Pauli operators and overlap grouping.
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Noise Reduction for Universal Hybrid Oscillator-Qubit Quantum Computation
Adding an ancilla qubit to GKP-stabilizer codes reduces Gaussian displacement noise standard deviation from σ to O(σ²) for universal hybrid CV-DV gates.
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Optimized Gottesman-Kitaev-Preskill Error Correction via Tunable Preprocessing
A tunable preprocessing stage in GKP Steane error correction minimizes the product of output position and momentum noise variances when 2a equals b in the small-noise regime and outperforms the ME-Steane scheme.
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Discrete-variable assisted error correction of continuous-variable quantum information
A hybrid CV-DV quantum error correction scheme uses discrete-variable ancillas to correct continuous-variable displacement errors and forms new oscillator-in-oscillator codes without GKP states.
-
Stroboscopic Stabilization of Cat Qubits
Stroboscopic small-Big-small sequences with an auxiliary qubit stabilize cat and squeezed-cat manifolds, preserve bit-flip bias, and partially correct single-photon loss without reservoir engineering.
-
Efficient High-Dimensional Quantum Circuit Synthesis: From Multi-Controlled Gates to Isometries and Quantum Channels
Multi-controlled single-qudit gates can be synthesized with O(n²) CINC gates (O(n) for special unitaries), enabling improved qudit isometry and channel circuits and, for prime d, equivalent SUM-gate circuits.
-
Loss-Tolerant Quantum Communication via Bosonic-GKP-Parity-Encoding
GKP teleamplification plus a parity-encoded concatenated Bell measurement with clipping and relay teleamplifiers yields higher secret-key rates over thousands of kilometres using orders-of-magnitude fewer qubits than photonic parity codes.
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Improved GKP magic states from error-corrected non-Gaussian quantum states
GKP error correction of cat and Fock states produces distillable magic states with higher success probability than vacuum, reducing distillation cost by up to ~3×.
-
Bosonic quantum error-correcting codes with finite stellar rank
Finite stellar rank creates a trade-off between state-preparation cost and QEC performance for bosonic codes, with rank k=2 optimized encodings surpassing break-even under dephasing.
-
Learning to Reconstruct Wigner Functions in Phase Space
Two machine learning models reconstruct continuous Wigner functions from sparse phase-space measurements: a provably efficient regression model for sparse states (O(s⁴ log d) samples) and a self-supervised neural network for general states including experimental GKP code data.
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Bias-Preserving Gates and Quantum Error Correction With Dual-Rail Cat Codes
Proposes the dual-rail cat code (DRCC) as a concatenated bosonic encoding enabling bias-preserving gates, deterministic photon-loss correction, and erasure-resilient fault tolerance.
-
Code-agnostic bosonic noise suppression with hybrid rotations
A code-agnostic hybrid rotation protocol using a qubit ancilla and controlled-Fourier gates suppresses bosonic thermal and displacement noise quadratically while preserving high success probability.
-
Bit flips, saturation, and quantum chaos in dissipative cat qubits
Saturation of bit-flip suppression in cat qubits originates from chaotic dynamics in memory-buffer interactions when adiabatic approximation breaks and cross-Kerr plus dephasing are present.
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Training continuously-coupled reconfigurable photonic chips with quantum machine learning
A black-box machine learning technique trains continuously-coupled photonic waveguide arrays to implement target unitaries using limited single- and two-photon measurements without requiring detailed internal models.
-
Sequential Measurements as a Resource for Quantum Metrology
Sequential weak measurements on a quantum harmonic oscillator enable simultaneous quadrature estimation, with backaction increasing information for some strengths and post-processing extending dynamic range while improving decoherence robustness.
-
Activating entanglement and EPR steering from continuous-variable resources using witness-based measures
A witness-based framework quantifies continuous-variable resources and activates them into discrete-variable entanglement or EPR steering via measure-and-prepare channels that produce Werner states.
-
A Concatenated Dual Displacement Code for Continuous-Variable Quantum Error Correction
The concatenated dual displacement code suppresses Gaussian displacement error variance by up to 50% under infinite squeezing while correcting lattice-crossing events in CV quantum error correction.
-
Gradient-descent methods for scalable quantum detector tomography
Gradient descent optimization reconstructs POVMs for phase-insensitive quantum detectors with higher or comparable fidelity to constrained convex optimization but in much less time.
-
Single-shot conditional displacement gate between a trapped atom and traveling light
Proposes and models a single-shot conditional displacement gate between a trapped atom and traveling light pulse via cavity mediation, including loss effects for hybrid quantum information processing.
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Beyond Stellar Rank: Control Parameters for Scalable Optical Non-Gaussian State Generation
Introduces non-Gaussian control parameters (s0, δ0) and an optimization method that reduces photon detections by a factor of three and increases preparation probability by nearly 10^8 for GKP states, with gains shown across cat, cubic phase, and random states.
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Optimal stellar rank approximation of squeezed cat states with photon catalysis
Photon catalysis protocols are shown to be provably optimal in some cases for approximating squeezed cat states, with identified parameter regimes achieving high fidelity using minimal non-Gaussian resources while benchmarking against alternative methods.
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Fraxonium: Fractional fluxon states for qudit encoding
Superconducting circuit hosts fractional fluxon states (fraxons) in a tailored Josephson potential to realize protected qudits with a STIRAP gate protocol.
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All-optical Implementation of Generalized Quantum Teleportation
Proposes an all-optical feedforward scheme for arbitrary linear operations via generalized quantum teleportation that suppresses hardware noise and supports high-speed optical quantum computing.
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Fundamental Limitations of Post-Quantum Cryptographic Architectures
Noise in lattice-based cryptography fails to erase information permanently, so quantum error correction and learning can extract secrets, making unconditional post-quantum security claims premature.
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Quantum metrological advantage of high-order squeezed states
High-order squeezed states can deliver better metrological precision than squeezed vacuum at equal occupations, with the advantage depending on the state family and sensitive to dephasing noise.
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Revisiting Gaussian genuine entanglement witnesses with modern software
Convex optimization formulations and an analytical symplectic trace expression are introduced to reconstruct physical Gaussian covariance matrices and witness genuine multipartite entanglement from experimental data.
- Heralding probability optimization for nonclassical light generated by photon counting measurements on multimode Gaussian states