Dual-rail encoding with superconducting cavities
arXiv:2212.12077 · doi:10.1073/pnas.2221736120
Abstract
The design of quantum hardware that reduces and mitigates errors is essential for practical quantum error correction (QEC) and useful quantum computation. To this end, we introduce the circuit-Quantum Electrodynamics (QED) dual-rail qubit in which our physical qubit is encoded in the single-photon subspace of two superconducting microwave cavities. The dominant photon loss errors can be detected and converted into erasure errors, which are in general much easier to correct. In contrast to linear optics, a circuit-QED implementation of the dual-rail code offers unique capabilities. Using just one additional transmon ancilla per dual-rail qubit, we describe how to perform a gate-based set of universal operations that includes state preparation, logical readout, and parametrizable single and two-qubit gates. Moreover, first-order hardware errors in the cavities and the transmon can be detected and converted to erasure errors in all operations, leaving background Pauli errors that are orders of magnitude smaller. Hence, the dual-rail cavity qubit exhibits a favorable hierarchy of error rates and is expected to perform well below the relevant QEC thresholds with today's coherence times.
References in corpus (94)
- Quantum Computing in the NISQ era and beyond
- Many-Body Physics with Ultracold Gases
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Charge insensitive qubit design derived from the Cooper pair box
- Surface codes: Towards practical large-scale quantum computation
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Quantum information with Rydberg atoms
- Topological quantum memory
- Encoding a qubit in an oscillator
- Quantum computing with trapped ions
- 14-qubit entanglement: creation and coherence
- Suppressing quantum errors by scaling a surface code logical qubit
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
- Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Confining the state of light to a quantum manifold by engineered two-photon loss
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- Fast Scalable State Measurement with Superconducting Qubits
- Quantum error correction of a qubit encoded in grid states of an oscillator
- A Simple Quantum Computer
- Real-time quantum error correction beyond break-even
- New class of quantum error-correcting codes for a bosonic mode
- Encoding a qubit in a trapped-ion mechanical oscillator
- A quantum memory with near-millisecond coherence in circuit QED
- Codes for the Quantum Erasure Channel
- Quantum computing with nearest neighbor interactions and error rates over 1%
- Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
- Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
- A Schrodinger Cat Living in Two Boxes
- Demonstration of fault-tolerant universal quantum gate operations
- Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
- Hardware-efficient autonomous quantum error correction
- Building a fault-tolerant quantum computer using concatenated cat codes
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
- Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
- Measuring and Suppressing Quantum State Leakage in a Superconducting Qubit
- Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements
- The XZZX Surface Code
- Natural two-qubit gate for quantum computation using the XY interaction
- Arbitrarily accurate composite pulses
- Implementing optimal control pulse shaping for improved single-qubit gates
- Quantum error correction with only two extra qubits
- Fast and Unconditional All-Microwave Reset of a Superconducting Qubit
- Coherence and Decay of Higher Energy Levels of a Superconducting Transmon Qubit
- Cavity State Manipulation Using Photon-Number Selective Phase Gates
- Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays
- Reaching 10 ms single photon lifetimes for superconducting aluminum cavities
- Fault-tolerant quantum computation against biased noise
- Bosonic quantum error correction codes in superconducting quantum circuits
- Beating the break-even point with a discrete-variable-encoded logical qubit
- Initialization by measurement of a two-qubit superconducting circuit
- Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
- Control and Tomography of a Three Level Superconducting Artificial Atom
- Fault-tolerant detection of a quantum error
- Fault tolerant quantum computation with very high threshold for loss errors
- Thresholds for topological codes in the presence of loss
- Stabilized Cat in Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector
- Rotating-frame relaxation as a noise spectrum analyzer of a superconducting qubit undergoing driven evolution
- Entangling Bosonic Modes via an Engineered Exchange Interaction
- Qutrit randomized benchmarking
- Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
- Logical-qubit operations in an error-detecting surface code
- Fast readout and reset of a superconducting qubit coupled to a resonator with an intrinsic Purcell filter
- Quantum superposition of a single microwave photon in two different "colour" states
- Removing leakage-induced correlated errors in superconducting quantum error correction
- A CNOT gate between multiphoton qubits encoded in two cavities
- Persistent control of a superconducting qubit by stroboscopic measurement feedback
- Sideband Transitions and Two-Tone Spectroscopy of a Superconducting Qubit Strongly Coupled to an On-Chip Cavity
- Resource costs for fault-tolerant linear optical quantum computing
- Understanding Quality Factor Degradation in Superconducting Niobium Cavities at Low Microwave Field Amplitudes
- Fault-Tolerant Computing With Biased-Noise Superconducting Qubits
- Asymptotic Improvements to Quantum Circuits via Qutrits
- Coping with qubit leakage in topological codes
- Linear-Time Maximum Likelihood Decoding of Surface Codes over the Quantum Erasure Channel
- Error-corrected gates on an encoded qubit
- A coaxial line architecture for integrating and scaling 3D cQED systems
- High-fidelity measurement of qubits encoded in multilevel superconducting circuits
- Error-detected state transfer and entanglement in a superconducting quantum network
- Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits
- Pulsed reset protocol for fixed-frequency superconducting qubits
- Protecting quantum entanglement from leakage and qubit errors via repetitive parity measurements
- Leakage detection for a transmon-based surface code
- Path-Independent Quantum Gates with Noisy Ancilla
- Arbitrary precision composite pulses for NMR quantum computing
- A leakage-resilient approach to fault-tolerant quantum computing with superconducting elements
- Bias-tailored quantum LDPC codes
- Semiconductor-inspired design principles for superconducting quantum computing
- Practical Topological Cluster State Quantum Computing Requires Loss Below 1%
- Demonstrating a superconducting dual-rail cavity qubit with erasure-detected logical measurements
Cited by in corpus (35)
- Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
- Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
- Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
- Shaping photons: quantum computation with bosonic cQED
- Optimizing quantum error correction protocols with erasure qubits
- Error correction of transversal CNOT gates for scalable surface code computation
- Fault-tolerant quantum architectures based on erasure qubits
- Erasure Decoding for Quantum LDPC Codes via Belief Propagation with Guided Decimation
- A high-efficiency plug-and-play superconducting qubit network
- The Floquet Fluxonium Molecule: Driving Down Dephasing in Coupled Superconducting Qubits
- Surface Code with Imperfect Erasure Checks
- Protecting logical qubits with dynamical decoupling
- Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
- Using the inductive-energy participation ratio to characterize a superconducting quantum chip
- Letting the tiger out of its cage: bosonic coding without concatenation
- Engineering the Nonlinearity of Bosonic Modes with a Multi-loop SQUID
- Heralding entangled optical photons from a microwave quantum processor
- Degenerate quantum erasure decoding
- Recovering Quantum Coherence of a Cavity Qubit Coupled to a Noisy Ancilla through Real-Time Feedback
- Stabilizing Non-Abelian Topological Order against Heralded Noise via Local Lindbladian Dynamics
- Magic State Injection with Erasure Qubits
- Dark spin-cats as biased qubits
- In-situ tunable interaction with an invertible sign between a fluxonium and a post cavity
- Bosonic quantum Fourier codes
- Taming Rydberg Decay with Measurement-based Quantum Computation
- Towards self-correcting quantum codes for neutral atom arrays
- Generation of frequency-bin-encoded dual-rail cluster states via time-frequency multiplexing of microwave photonic qubits
- Synthetic -flux system in 2D superconducting qubit array with tunable coupling
- Estimating the performance boundary of Gottesman-Kitaev-Preskill codes and number-phase codes
- CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems
- Exact amplitudes of parametric processes in driven Josephson circuits
- Photon-Number Conserved Universal Quantum Logic Employing Continuous-Time Quantum Walk on Dual-Rail Qubit Arrays
- Co-Designing Spectral Transformation Oracles with Hybrid Oscillator-Qubit Quantum Processors: From Algorithms to Compilation
- Quantum jumps of sound
- Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding