Open AccessSimulate Deutsch-Jozsa algorithm with metamaterials
Author(s) -
Kaiyang Cheng,
Weixuan Zhang,
Zeyong Wei,
Yuancheng Fan,
Chaowei Xu,
Chao Wu,
Xiangdong Zhang,
Hongqiang Li
Publication year - 2020
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.393444
Subject(s) - metamaterial , hadamard transform , computer science , algorithm , transformation (genetics) , transformation optics , quantum computer , oracle , constant (computer programming) , physics , optics , quantum , quantum mechanics , biochemistry , chemistry , software engineering , gene , programming language
During the past few years, a lot of efforts have been devoted in studying optical analog computing with artificial structures. Up to now, much of them are primarily focused on classical mathematical operations. How to use artificial structures to simulate quantum algorithm is still to be explored. In this work, an all-dielectric metamaterial-based model is proposed and realized to demonstrate the quantum Deutsch-Jozsa algorithm. The model is comprised of two cascaded functional metamaterial subblocks. The oracle subblock encodes the detecting functions (constant or balanced), onto the phase distribution of the incident wave. Then, the original Hadamard transformation is performed with a graded-index subblock. Both the numerical and experimental results indicate that the proposed metamaterials are able to simulate the Deutsch-Jozsa problem with one round operation and a single measurement of the output eletric field, where the zero (maximum) intensity at the central position results from the destructive (constructive) interference accompanying with the balance (constant) function marked by the oracle subblock. The proposed computational metamaterial is miniaturized and easy-integration for potential applications in communication, wave-based analog computing, and signal processing systems.