Secret key rates for an encoded quantum repeater

Abstract

We investigate secret key rates for the quantum repeater using encoding [L. Jiang et al., Phys. Rev. A 79, 032325 (2009)] and compare them to the standard repeater scheme by Briegel, Dür, Cirac, and Zoller. The former scheme has the advantage of a minimal consumption of classical communication. We analyze the trade-off in the secret key rate between the communication time and the required resources. For this purpose, we introduce an error model for the repeater using encoding which allows for input Bell states with a fidelity smaller than one, in contrast to the model given in [L. Jiang et al., Phys. Rev. A 79, 032325 (2009)]. We show that one can correct additional errors in the encoded connection procedure of this repeater and develop a suitable decoding algorithm. Furthermore, we derive the rate of producing entangled pairs for the quantum repeater using encoding and give the minimal parameters (gate quality and initial fidelity) for establishing a nonzero secret key. We find that the generic quantum repeater is optimal regarding the secret key rate per memory per second and show that the encoded quantum repeater using the simple three-qubit repetition code can even have an advantage with respect to the resources compared to other recent quantum repeater schemes with encoding.

References in corpus (5)

• Distillation of secret key and entanglement from quantum states
• Distributed Quantum Computation Based-on Small Quantum Registers
• Rate analysis for a hybrid quantum repeater
• On the role of memory errors in quantum repeaters
• Finite-range multiplexing enhances quantum key distribution via quantum repeaters

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• Quantum key distribution over quantum repeaters with encoding: Using Error Detection as an Effective Post-Selection Tool
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• Simple efficient decoders for quantum key distribution over quantum repeaters with encoding
• Parameter regimes for surpassing the PLOB bound with error-corrected qudit repeaters
• Subexponential rate versus distance with time-multiplexed quantum repeaters
• Memory-corrected quantum repeaters with adaptive syndrome identification