Capacity estimation and verification of quantum channels with arbitrarily correlated errors

Corsin Pfister, M. Adriaan Rol, Atul Mantri, Marco Tomamichel and Stephanie Wehner ()
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Corsin Pfister: Delft University of Technology
M. Adriaan Rol: Delft University of Technology
Atul Mantri: Singapore University of Technology and Design
Marco Tomamichel: University of Technology Sydney
Stephanie Wehner: Delft University of Technology

Nature Communications, 2018, vol. 9, issue 1, 1-9

Abstract: 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.

Date: 2018
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DOI: 10.1038/s41467-017-00961-2

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