Related papers: Bosonic Amplitude-Damping Codes Beyond Binomial Schemes

Bosonic Amplitude-Damping Codes Beyond Binomial Schemes

URL: http://arxiv.org/abs/2501.07093v1
Date: Mon, 13 Jan 2025 07:04:05 GMT
Title: Bosonic Amplitude-Damping Codes Beyond Binomial Schemes
Authors: En-Jui Chang,
Abstract summary: We introduce two new families of bosonic quantum error correction (QEC) codes to address collective coherent and amplitude-damping errors. These new bosonic codes enhance existing binomial codes for oscillators and permutation-invariant codes for qubits by reducing the required excitations per input qubit from linear to sub-linear growth.
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Abstract: We introduce two new families of bosonic quantum error correction (QEC) codes to address collective coherent and amplitude-damping errors, building upon our previous multi-qubit QEC codes. These new bosonic codes enhance existing binomial codes for oscillators and permutation-invariant codes for qubits by reducing the required excitations per input qubit from linear to sub-linear growth. The mappings from multi-qubit stabilizer codes to bosonic codes establish a bridge between QEC code construction for qubits and oscillators, offering a unified approach to error correction across different quantum systems.

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