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.

Generating Haar-Uniform Randomness Using Stochastic Quantum Walks on a Photonic Chip / Tang, H; Banchi, L; Wang, TY; Shang, XW; Tan, X; Zhou, WH; Feng, Z; Pal, A; Li, H; Hu, CQ; Kim, MS; Jin, XM. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - ELETTRONICO. - 128:(2022), pp. 050503-050508. [10.1103/PhysRevLett.128.050503]

Generating Haar-Uniform Randomness Using Stochastic Quantum Walks on a Photonic Chip

Banchi, L;
2022

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.
2022
128
050503
050508
Tang, H; Banchi, L; Wang, TY; Shang, XW; Tan, X; Zhou, WH; Feng, Z; Pal, A; Li, H; Hu, CQ; Kim, MS; Jin, XM
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1293081
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