Error-corrected quantum repeaters with GKP qudits

Schmidt, Frank L.; Miller, Daniel; Loock, Peter van

doi:10.48550/arxiv.2303.16034

Cited by 1 publication

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References 79 publications

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“…Alternatively, the concatenation of two different quantum errorcorrection codes has been considered to ensure fault-tolerant operation and efficiently address both loss and operational errors in quantum repeaters. In particular, the concatenation of a continuous-variable (CV) Gottesman-Kitaev-Preskill (GKP) code with small discrete-variable (DV) codes has recently been proposed 18,19,[22][23][24] , and was shown to have increased communication performance while reducing the resource cost. While the experimental generation of optical GKP states has recently been demonstrated 25 , the construction of such states with sufficiently high quality remains a daunting challenge due to the requirements for the efficiency and performance of the hardware.…”

Section: Introductionmentioning

confidence: 99%

Resource-efficient fault-tolerant one-way quantum repeater with code concatenation

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et al. 2023

npj Quantum Inf

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One-way quantum repeaters where loss and operational errors are counteracted by quantum error-correcting codes can ensure fast and reliable qubit transmission in quantum networks. It is crucial that the resource requirements of such repeaters, for example, the number of qubits per repeater node and the complexity of the quantum error-correcting operations are kept to a minimum to allow for near-future implementations. To this end, we propose a one-way quantum repeater that targets both the loss and operational error rates in a communication channel in a resource-efficient manner using code concatenation. Specifically, we consider a tree-cluster code as an inner loss-tolerant code concatenated with an outer 5-qubit code for protection against Pauli errors. Adopting flag-based stabilizer measurements, we show that intercontinental distances of up to 10,000 km can be bridged with a minimized resource overhead by interspersing repeater nodes that each specialize in suppressing either loss or operational errors. Our work demonstrates how tailored error-correcting codes can significantly lower the experimental requirements for long-distance quantum communication.

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