Random number extraction from optically trapped Brownian oscillator using an iterative algorithm

Raunak Dey; Avijit Kundu; Subhrokoli Ghosh; Ayan Banerjee

doi:10.1117/12.2596502

1 August 2021 Random number extraction from optically trapped Brownian oscillator using an iterative algorithm

Raunak Dey, Avijit Kundu, Subhrokoli Ghosh, Ayan Banerjee

Proceedings Volume 11798, Optical Trapping and Optical Micromanipulation XVIII; 117980F (2021) https://doi.org/10.1117/12.2596502
Event: SPIE Nanoscience + Engineering, 2021, San Diego, California, United States

Abstract

True random number generators are in high demand for secure cryptographic algorithms. Unlike algorithmically generated pseudo-random numbers, they are unclonable and non-deterministic. In this paper, we extract the white noise from stochastic Brownian Markov trajectories and use it to generate random numbers that qualify NIST standard tests of randomness. We trap colloidal particles in water using optical tweezers and record its confined Brownian motion in real-time. Next, in a two-step process, we use the initial section of incoming data to train and calibrate our iterative algorithm on the trap stiffness and viscosity of the solution based on the autocorrelation and power spectrum properties of the noise; then, we extract random arrays from the next section of the data. Interestingly, we get the best random number sequence for the best calibration. We test the random number sequence, which we have obtained, using standard randomness tests and observing the randomness to improve with increasing sampling frequencies.1 In the next steps, we extend this method to a wider class of processes, such as an optically trapped particle modulated by a square pulse or an external colored noise generated by an Ornstein Uhlenbeck process – we estimate the timescale of both the modulation and viscous effect using our algorithm.

Conference Presentation

Citation Download Citation

Raunak Dey, Avijit Kundu, Subhrokoli Ghosh, and Ayan Banerjee "Random number extraction from optically trapped Brownian oscillator using an iterative algorithm", Proc. SPIE 11798, Optical Trapping and Optical Micromanipulation XVIII, 117980F (1 August 2021); https://doi.org/10.1117/12.2596502

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available