论文标题
使用不确定性原理的量子维度测试
Quantum dimension test using the uncertainty principle
论文作者
论文摘要
我们提出了一项测试,以证明量子系统的维度:在计算或Hadamard基础上存储一个随机的$ n $ bit String,然后随后检查字符串是否可以恢复。该协议可容忍噪声,而验证者只需要准备一四分之一的状态即可。该分析基于由于Berta等人而在量子记忆存在下的不确定性关系。 (2010)。
We propose a test for certifying the dimension of a quantum system: store in it a random $n$-bit string, in either the computational or the Hadamard basis, and later check that the string can be mostly recovered. The protocol tolerates noise, and the verifier only needs to prepare one-qubit states. The analysis is based on uncertainty relations in the presence of quantum memory, due to Berta et al. (2010).