Minimum Copies of Schrodinger%26apos;s Cat State in the Multi-Photon System

作者：Lu Yiping; Zhao Qing

来源：Scientific Reports, 2016, 6(1): 32057.

DOI：10.1038/srep32057

Multi-photon entanglement has been successfully studied by many theoretical and experimental groups. However, as the number of entangled photons increases, some problems are encountered, such as the exponential increase of time necessary to prepare the same number of copies of entangled states in experiment. In this paper, a new scheme is proposed based on the Lagrange multiplier and Feedback, which cuts down the required number of copies of Schrodinger's Cat state in multi-photon experiment, which is realized with some noise in actual measurements, and still keeps the standard deviation in the error of fidelity unchanged. It reduces about five percent of the measuring time of eight-photon Schrodinger's Cat state compared with the scheme used in the usual planning of actual measurements, and moreover it guarantees the same low error in fidelity. In addition, we also applied the same approach to the simulation of ten-photon entanglement, and we found that it reduces in priciple about twenty two percent of the required copies of Schrodinger's Cat state compared with the conventionally used scheme of the uniform distribution; yet the distribution of optimized copies of the ten-photon Schrodinger's Cat state gives better fidelity estimation than the uniform distribution for the same number of copies of the ten-photon Schrodinger's Cat state.

• 出版日期2016-8-31
• 单位北京理工大学