Performance of Rotation-Symmetric Bosonic Codes in a Quantum Repeater Network

Abstract

Quantum error correction codes based on continuous variables play an important role for the implementation of quantum communication systems. A natural application of such codes occurs within quantum repeater systems which are used to combat severe channel losses and local gate errors. In particular, channel loss drastically reduces the distance of communication between remote users. Here we consider a cavity-QED based repeater scheme to address the losses in the quantum channel. This repeater scheme relies on the transmission of a specific class of rotationally invariant error-correcting codes. We compare several rotation-symmetric bosonic codes (RSBCs) being used to encode the initial states of two remote users connected by a quantum repeater network against the convention of the cat codes and we quantify the performance of the system using the secret key rate. In particular, we determine the number of stations required to exchange a secret key over a fixed distance and establish the resource overhead.

10 pages, 7 figures

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Cited by in corpus (4)

• Generalized Number-Phase Lattice Encoding of a Bosonic Mode for Quantum Error Correction
• Arbitrary high-fidelity binomial codes from multiphoton spin-boson interactions
• Continuous-Variable Multiplexed Quantum Repeater Networks
• Linear-optical protocols for mitigating and suppressing noise in bosonic systems