2019/01/16 by Linshu Li, Dylan J. Young, Victor V. Albert +4
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Basis (linear algebra) #Computer science #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum capacity #Quantum decoherence #Quantum error correction #Quantum information #Quantum mechanics #Quantum network #Qubit #quant-ph
paper · pdf · doi:10.1103/physreva.103.062427
published as Phys. Rev. A 103, 062427 (2021)
arxiv created 2019/01/16 · openalex created_date 2019/01/25 · openalex publication_date 2021/06/29 · arxiv updated 2021/07/07 · openalex updated_date 2026/08/06
Continuous-variable systems protected by bosonic quantum codes have emerged as a promising platform for quantum information. To date, the design of code words has centered on optimizing the state occupation in the relevant basis to generate the distance needed for error correction. Here, we show tuning the phase degree of freedom in the design of code words can affect, and potentially enhance, the protection against Markovian errors that involve excitation exchange with the environment. As illustrations, we first consider phase engineering bosonic codes with uniform spacing in the Fock basis that correct excitation loss with a Kerr unitary and show that these modified codes feature destructive interference between error code words and, with an adapted ``two-level'' recovery, the error protection is significantly enhanced. We then study protection against energy decay with the presence of mode nonlinearities and analyze the role of phase for optimal code designs. We extend the principle of phase engineering to bosonic codes defined in other bases and multiqubit codes, demonstrating its broad applicability in quantum error correction.