Overcoming erasure errors with multilevel systems
Sreraman Muralidharan, Chang-Ling Zou, Linshu Li, Jianming Wen, Liang, Jiang
TL;DR
This paper explores the use of multilevel quantum error-correcting codes, specifically quantum polynomial codes, to effectively protect quantum information from erasure errors, including photon loss and operation errors, in a fault-tolerant manner.
Contribution
It introduces a generalized teleportation-based error correction scheme for multilevel systems and demonstrates its advantages over qubit-based codes in certain error regimes.
Findings
Quantum polynomial codes outperform qubit-based codes in specific error scenarios.
The scheme enables fault-tolerant correction of photon losses and operation errors.
Application potential in one-way quantum repeaters.
Abstract
We investigate the usage of highly efficient error correcting codes of multilevel systems to protect encoded quantum information from erasure errors and implementation to repetitively correct these errors. Our scheme makes use of quantum polynomial codes to encode quantum information and generalizes teleportation based error correction for multilevel systems to correct photon losses and operation errors in a fault-tolerant manner. We discuss the application of quantum polynomial codes to one-way quantum repeaters. For various types of operation errors, we identify different parameter regions where quantum polynomial codes can achieve a superior performance compared to qubit based quantum parity codes.
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