One way quantum repeaters with quantum Reed-Solomon codes

Preprint English OPEN
Muralidharan, Sreraman ; Zou, Chang-Ling ; Li, Linshu ; Jiang, Liang (2018)
  • Related identifiers: doi: 10.1103/PhysRevA.97.052316
  • Subject: Quantum Physics
    acm: TheoryofComputation_GENERAL | Hardware_ARITHMETICANDLOGICSTRUCTURES | Data_CODINGANDINFORMATIONTHEORY | ComputerSystemsOrganization_MISCELLANEOUS
    arxiv: Computer Science::Information Theory

We show that quantum Reed-Solomon codes constructed from classical Reed-Solomon codes can approach the capacity on the quantum erasure channel of $d$-level systems for large dimension $d$. We study the performance of one-way quantum repeaters with these codes and obtain a significant improvement in key generation rate compared to previously investigated encoding schemes with quantum parity codes and quantum polynomial codes. We also compare the three generation of quantum repeaters using quantum Reed-Solomon codes and identify parameter regimes where each generation performs the best.
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