Despite the tremendous progress of quantum cryptography, efficient quantum communication over long distances (≥ 1000km) remains an outstanding challenge due to fiber attenuation and operation errors accumulated over the entire communication distance. Quantum repeaters (QRs), as a promising approach, can overcome both photon loss and operation errors, and hence significantly speedup the communication rate. Depending on the methods used to correct loss and operation errors, all the proposed QR schemes can be classified into three categories (generations). First generation QRs use heralded entanglement generation for the correction of erasure errors and entanglement purification for the correction of operation errors. Second generation QRs use heralded entanglement generation for the correction of erasure errors and quantum error correction for the correction of operation errors. third-generation QRs use quantum error correction for the correction of both erasure and operation errors respectively. It is important to develop robust protocols for quantum repeaters, and systematically compare the performance of various QRs.
We investigate the use of efficient error correcting codes for third-generation QRs that make use of small encoding blocks to fault-tolerantly correct both loss and operation errors. Our schemes use quantum parity codes. quantum polynomial codes and quantum Reed-Solomon codes for encoding quantum information and use teleportation-based error correction to systematically correct erasure and operation errors in a fault-tolerant manner. We describe a way to optimize the resource requirements and system parameters for these QRs with the aim of generating a secure key. We perform a systematic comparison among these codes and identify the parameter regimes of operation errors where each code performs the best.
We then perform a systematic comparison of the three generations of QRs by evaluating the cost of both temporal and physical resources, and identify the optimized QR architecture for a given set of experimental parameters. Our work provides a roadmap for the experimental realization of highly efficient quantum networks over transcontinental distances.
|School Location:||United States -- Connecticut|
|Source:||DAI-B 79/05(E), Dissertation Abstracts International|
|Subjects:||Electrical engineering, Quantum physics, Physics|
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