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Cat Codes with Optimal Decoherence Suppression for a Lossy Bosonic Channel
Linshu Li1, Chang-Ling Zou1, Victor V Albert1
1Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut 06511, USA.
Physical Review Letters
|August 5, 2017
Summary
We explored cat codes to fix multiple excitation losses in quantum systems. Optimized cat codes boost secure communication rates, showing potential for quantum information processing.
Area of Science:
- Quantum Information Science
- Quantum Error Correction
- Continuous Variable Quantum Codes
Background:
- Quantum systems are susceptible to excitation losses and environmental interactions.
- Cat codes offer a potential solution for mitigating errors in quantum information processing.
- Understanding logical errors like bit-flips and dephasing is crucial for code performance.
Purpose of the Study:
- Investigate cat codes for correcting multiple excitation losses.
- Identify and analyze bit-flip and dephasing errors in cat codes.
- Optimize cat code performance for minimized decoherence and enhanced secure communication.
Main Methods:
- Analysis of logical errors: bit-flip and dephasing.
- Selection of logical subspace and coherent amplitude for error reduction.
- Performance evaluation of cat codes in one-way quantum repeaters.
- Comparison with conventional encoding schemes.
Main Results:
- Identified bit-flip errors from excessive excitation loss and dephasing errors from quantum backaction.
- Demonstrated significant reduction in dephasing errors through strategic logical subspace and coherent amplitude selection.
- Achieved optimized cat code performance by balancing trade-offs between bit-flip and dephasing errors, minimizing decoherence.
- Showcased boosted secure communication rates per mode using one-way quantum repeaters with cat codes.
Conclusions:
- Cat codes effectively correct multiple excitation losses and mitigate logical errors.
- Optimized cat codes offer superior performance in minimizing decoherence.
- Quantum repeaters employing cat codes significantly enhance secure communication rates, highlighting their potential in quantum information processing.
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