Generating Haar-uniform randomness using stochastic quantum walks on a photonic chip
File(s)
Accepted version
Author(s)
Type
Journal Article
Abstract
As random operations for quantum systems are intensively used in various quantum information tasks, a trustworthy measure of the randomness in quantum operations is highly demanded. The Haar measure of randomness is a useful tool with wide applications, such as boson sampling. Recently, a theoretical protocol was proposed to combine quantum control theory and driven stochastic quantum walks to generate Haar-uniform random operations. This opens up a promising route to converting classical randomness to quantum randomness. Here, we implement a two-dimensional stochastic quantum walk on the integrated photonic chip and demonstrate that the average of all distribution profiles converges to the even distribution when the evolution length increases, suggesting the 1-pad Haar-uniform randomness. We further show that our two-dimensional array outperforms the one-dimensional array of the same number of waveguide for the speed of convergence. Our Letter demonstrates a scalable and robust way to generate Haar-uniform randomness that can provide useful building blocks to boost future quantum information techniques.
Date Issued
2022-02-04
Date Acceptance
2022-01-03
Citation
Physical Review Letters, 2022, 128 (5)
ISSN
0031-9007
Publisher
American Physical Society
Journal / Book Title
Physical Review Letters
Volume
128
Issue
5
Copyright Statement
© 2022 American Physical Society.
Sponsor
Samsung Electronics Co. Ltd
Engineering & Physical Science Research Council (E
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/35179918
Grant Number
N/A
EP/T001062/1
Subjects
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
General Physics
Publication Status
Published
Coverage Spatial
United States
Article Number
ARTN 050503
Date Publish Online
2022-02-03