Estimating Information Gain in Measurements in Suboptimal Bases for Quantum State Tomography
Manas Patra
Abstract
It is known that mutually unbiased bases, whenever they exist, are optimal in an information theoretic sense for the determination of unknown state of a quantum ensemble. These bases may not exist in most dimensions and some suboptimal choices have to be made. The present paper deals with estimates of the information loss in suboptimal choice of bases. The information is calculated directly in terms of transition probabilities. I give estimates for the information content of measurement in some approximate MUBs proposed recently.
Create a lesson
Related papers
Approximate Synthetic Spectra of Quantum Systems Associated with Compact Lie Groups
Junyang Liu, Hang Wang, Houjin Wang et al.
An example of universal braiding in Links--Gould topological quantum computation
Matthew Harper, Ben-Michael Kohli
Reasoning about Shared-Qubit Concurrency in Quantum Computing
Mingsheng Ying
Information-Geometric Representation of Upper Bounds on Fluctuation Growth in Open Quantum Systems
Newshaw Bahreyni, Paul M. Alsing
Initialization-controlled fault sensitivity and force-balance plateaus in noisy variational quantum optimization
Longhui Shen, Fangzhou Jin, Bin Guo
Quantum identity authentication protocol via perturbed probability amplitudes
Xiangqun Fu, Zheng Han, Hongwei Li et al.