Dual-rail encoding with superconducting cavities

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.

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Cited by in corpus (34)

• 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
• Error correction of transversal CNOT gates for scalable surface code computation
• Optimizing quantum error correction protocols with erasure qubits
• 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
• Protecting logical qubits with dynamical decoupling
• Surface Code with Imperfect Erasure Checks
• Using the inductive-energy participation ratio to characterize a superconducting quantum chip
• Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
• Letting the tiger out of its cage: bosonic coding without concatenation
• Engineering the Nonlinearity of Bosonic Modes with a Multi-loop SQUID
• Recovering Quantum Coherence of a Cavity Qubit Coupled to a Noisy Ancilla through Real-Time Feedback
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• In-situ tunable interaction with an invertible sign between a fluxonium and a post cavity
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• Synthetic $\pi$-flux system in 2D superconducting qubit array with tunable coupling
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• Towards self-correcting quantum codes for neutral atom arrays
• Exact amplitudes of parametric processes in driven Josephson circuits
• Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding
• Photon-Number Conserved Universal Quantum Logic Employing Continuous-Time Quantum Walk on Dual-Rail Qubit Arrays
• Estimating the performance boundary of Gottesman-Kitaev-Preskill codes and number-phase codes
• CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems
• Co-Designing Spectral Transformation Oracles with Hybrid Oscillator-Qubit Quantum Processors: From Algorithms to Compilation