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Capacity estimation and verification of quantum channels with arbitrarily correlated errors

Author

Listed:
  • Corsin Pfister

    (Delft University of Technology
    Centre for Quantum Technologies)

  • M. Adriaan Rol

    (Delft University of Technology
    Delft University of Technology)

  • Atul Mantri

    (Singapore University of Technology and Design)

  • Marco Tomamichel

    (University of Technology Sydney)

  • Stephanie Wehner

    (Delft University of Technology)

Abstract

The central figure of merit for quantum memories and quantum communication devices is their capacity to store and transmit quantum information. Here, we present a protocol that estimates a lower bound on a channel’s quantum capacity, even when there are arbitrarily correlated errors. One application of these protocols is to test the performance of quantum repeaters for transmitting quantum information. Our protocol is easy to implement and comes in two versions. The first estimates the one-shot quantum capacity by preparing and measuring in two different bases, where all involved qubits are used as test qubits. The second verifies on-the-fly that a channel’s one-shot quantum capacity exceeds a minimal tolerated value while storing or communicating data. We discuss the performance using simple examples, such as the dephasing channel for which our method is asymptotically optimal. Finally, we apply our method to a superconducting qubit in experiment.

Suggested Citation

  • Corsin Pfister & M. Adriaan Rol & Atul Mantri & Marco Tomamichel & Stephanie Wehner, 2018. "Capacity estimation and verification of quantum channels with arbitrarily correlated errors," Nature Communications, Nature, vol. 9(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:9:y:2018:i:1:d:10.1038_s41467-017-00961-2
    DOI: 10.1038/s41467-017-00961-2
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