Self-guided quantum state tomography for limited resources

Abstract Quantum state tomography is a process for estimating an unknown quantum state; which is innately probabilistic. The exponential growth of unknown parameters to be estimated is a fundamental difficulty in realizing quantum state tomography for higher dimensions. Iterative optimization algori...

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Bibliographic Details
Main Authors: Syed Tihaam Ahmad, Ahmad Farooq, Hyundong Shin
Format: Article
Language:English
Published: Nature Portfolio 2022-03-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-09143-7
Description
Summary:Abstract Quantum state tomography is a process for estimating an unknown quantum state; which is innately probabilistic. The exponential growth of unknown parameters to be estimated is a fundamental difficulty in realizing quantum state tomography for higher dimensions. Iterative optimization algorithms like self-guided quantum tomography have been effective in robust and accurate ascertaining a quantum state even with exponential growth in Hilbert space. We propose a faster convergent simultaneous perturbation stochastic approximation algorithm which is more practical in a resource-deprived situation for determining the underlying quantum states by incorporating the Barzilai–Borwein two-point step size gradient method with minimal loss of accuracy.
ISSN:2045-2322