Quantum state estimation when qubits are lost: A no-data-left-behind approach
Quantum Physics
2017-04-26 v2
Abstract
We present an approach to Bayesian mean estimation of quantum states using hyperspherical parametrization and an experiment-specific likelihood which allows utilization of all available data, even when qubits are lost. With this method, we report the first closed-form Bayesian mean estimate for the ideal single qubit. Due to computational constraints, we utilize numerical sampling to determine the Bayesian mean estimate for a photonic two-qubit experiment in which our novel analysis reduces burdens associated with experimental asymmetries and inefficiencies. This method can be applied to quantum states of any dimension and experimental complexity.
Cite
@article{arxiv.1610.03714,
title = {Quantum state estimation when qubits are lost: A no-data-left-behind approach},
author = {Brian P. Williams and Pavel Lougovski},
journal= {arXiv preprint arXiv:1610.03714},
year = {2017}
}
Comments
28 pages. Revision includes, in part, changes to the ideal single-qubit MLE section