自适应压缩断层成像技术（Adaptive Compressive Tomography），无需先验信息（No a priori Information）。

Adaptive Compressive Tomography with No a priori Information.

机构信息

Department of Physics and Astronomy, Seoul National University, 08826 Seoul, South Korea.

Physics Department, University of Ottawa, 25 Templeton Street, Ottawa, Ontario, K1N 6N5 Canada.

出版信息

Phys Rev Lett. 2019 Mar 15;122(10):100404. doi: 10.1103/PhysRevLett.122.100404.

DOI:10.1103/PhysRevLett.122.100404

PMID:30932629

Abstract

Quantum state tomography is both a crucial component in the field of quantum information and computation and a formidable task that requires an incogitable number of measurement configurations as the system dimension grows. We propose and experimentally carry out an intuitive adaptive compressive tomography scheme, inspired by the traditional compressed-sensing protocol in signal recovery, that tremendously reduces the number of configurations needed to uniquely reconstruct any given quantum state without any additional a priori assumption whatsoever (such as rank information, purity, etc.) about the state, apart from its dimension.

摘要

量子态层析术既是量子信息和计算领域的关键组成部分，也是一项艰巨的任务，随着系统维度的增加，需要不可想象数量的测量配置。我们提出并实验实现了一种直观的自适应压缩层析方案，灵感来自信号恢复中的传统压缩感知协议，该方案极大地减少了独特地重建任何给定量子态所需的配置数量，而无需对态进行任何额外的先验假设（例如关于态的秩信息、纯度等），除了其维度。