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arXiv 1306.3664quant-phcs.ET
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泛盲量子计算中的容错操作

Fault-tolerant Operations for Universal Blind Quantum Computation

Chia-Hung Chien, Rodney Van Meter, Sy-Yen Kuo

摘要:

盲量子计算是量子信息技术的一个有吸引力的应用,因为它可以对服务器隐藏客户端的数据和算法本身。然而,盲量子计算在实际应用中还存在一些问题,容错是一个重大挑战。在示例电路上,由客户端执行的T门中测量的计算成本是直接执行原始计算的97倍,而不使用服务器,甚至在应用纠错之前。(The客户端仍然受益于大幅降低的内存需求。)Broadbent等人提出在盲计算上运行纠错,但我们的第一个协议在下面应用了一层Steane的[[7,1,3]]代码。该协议具有更好的容错性,但仍然导致大量开销。我们提出了另一种协议,以减少客户端的计算负载,通过传输量子位的准备服务器。对于计算中使用的每个逻辑量子比特,客户端只需要通过隐形传态接收八个逻辑量子比特,然后在返回一个之前缓冲两个逻辑量子比特。该协议还保护客户端的逻辑量子比特的容错准备免受侧信道攻击。

英文摘要:

Blind quantum computation is an appealing use of quantum information technology because it can conceal both the client's data and the algorithm itself from the server. However, problems need to be solved in the practical use of blind quantum computation and fault-tolerance is a major challenge. On an example circuit, the computational cost measured in T gates executed by the client is 97 times more than performing the original computation directly, without using the server, even before applying error correction. (The client still benefits due to drastically reduced memory requirements.) Broadbent et al. proposed running error correction over blind computation, but our first protocol applies one layer of Steane's [[7,1,3]] code underneath instead. This protocol has better fault tolerance, but still results in a substantial overhead. We propose another protocol to reduce the client's computational load by transferring the qubit preparation to the server. For each logical qubit used in the computation, the client is only required to receive eight logical qubits via teleportation then buffer two logical qubits before returning one. This protocol also protects the client's fault-tolerant preparation of logical qubits from a side-channel attack.

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