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arXiv 1801.03090quant-ph
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基于测量的少资源普适盲量子计算

Measurement-based universal blind quantum computation with minor resources

Xiaoqian Zhang

摘要:

盲量子计算(Blind Quantum Computation,BQC)允许量子计算能力较弱的客户端将自己的量子计算委托给量子计算能力较强的服务器,同时保护客户端的隐私。通常,多比特纠缠态被用来完成BQC任务。但对于大尺度纠缠态,由于其希尔伯特空间维数呈指数增长,很难描述。此外,现有的实验中纠缠量子比特的数量有限。针对这一问题,本文提出了一种基于少量资源测量的通用BQC协议,在计算和测试过程中采用陷阱技术验证服务器测量结果的正确性。在我们的模型中,有两个参与者,一个准备初始单量子比特状态的客户端和一个执行通用量子计算的服务器。客户端几乎是经典的,因为她不需要任何量子计算能力,量子存储器。为了实现客户端的通用BQC,我们构造了一个由六比特团簇态和八比特团簇态组成的$m\times n$格态,它比砖块态需要更少的量子比特。最后,我们分析和证明了我们提出的BQC协议的盲目性,正确性,通用性和可验证性。

英文摘要:

Blind quantum computation (BQC) enables a client with less quantum computational ability to delegate her quantum computation to a server with strong quantum computational power while preserving the client's privacy. Generally, many-qubit entangled states are often used to complete BQC tasks. But for a large-scale entangled state, it is difficult to be described since its Hilbert space dimension is increasing exponentially. Furthermore, the number of entangled qubits is limited in experiment of existing works. To tackle this problem, in this paper we propose a universal BQC protocol based on measurement with minor resources, where the trap technology is adopted to verify correctness of the server's measurement outcomes during computation and testing process. In our model there are two participants, a client who prepares initial single-qubit states and a server that performs universal quantum computation. The client is almost classical since she does not require any quantum computational power, quantum memory. To realize the client's universal BQC, we construct an $m\times n$ latticed state composed of six-qubit cluster states and eight-qubit cluster states, which needs less qubits than the brickwork state. Finally, we analyze and prove the blindness, correctness, universality and verifiability of our proposed BQC protocol.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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