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.
Quantum Error Correction with Superpositions of Squeezed Fock States
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Bosonic codes, leveraging infinite-dimensional Hilbert spaces for redundancy, offer great potential for encoding quantum information. However, the realization of a practical continuous-variable bosonic code that can simultaneously correct both single-photon loss and dephasing errors remains elusive, primarily due to the absence of exactly orthogonal codewords and the lack of an experiment-friendly state preparation scheme. Here, we propose a code based on the superposition of squeezed Fock states with an error-correcting capability that scales as $\propto\exp(-7r)$, where $r$ is the squeezing level. The codewords remain orthogonal at all squeezing levels. The Pauli-X operator acts as a rotation in phase space is an error-transparent gate, preventing correctable errors from propagating outside the code space during logical operations. In particular, this code achieves high-precision error correction for both single-photon loss and dephasing, even at moderate squeezing levels. Building on this code, we develop quantum error correction schemes that exceed the break-even threshold, supported by analytical derivations of all necessary quantum gates. Our code offers a competitive alternative to previous encodings for quantum computation using continuous bosonic qubits.
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2026 3verdicts
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Jacobi operators with λ-scaled diagonals exhibit essentially singular limits as λ→0, with subsequential strong resolvent convergence to any self-adjoint extension of the limit, applied to show non-unique selection in higher-order squeezing operators.
The paper compiles a curated handbook reference of error-correcting codes, their symbol-based classifications, and interrelations with mathematical objects and physical phases.
citing papers explorer
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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.
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Essentially singular limits of Jacobi operators and applications to higher-order squeezing
Jacobi operators with λ-scaled diagonals exhibit essentially singular limits as λ→0, with subsequential strong resolvent convergence to any self-adjoint extension of the limit, applied to show non-unique selection in higher-order squeezing operators.
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Handbook of Error-Correcting Codes
The paper compiles a curated handbook reference of error-correcting codes, their symbol-based classifications, and interrelations with mathematical objects and physical phases.