Simple Adaption of Measurements for Qudit Estimation

TL;DR

This paper introduces a straightforward adaptive measurement strategy for estimating d-level quantum states, improving fidelity over non-adaptive methods, even when complete mutually unbiased bases are unavailable.

Contribution

It proposes a new adaptive measurement approach for qudit state estimation that is simple and effective, extending applicability beyond known mutually unbiased bases.

Findings

Monte Carlo simulations show fidelity improvements

Adaptive strategy outperforms non-adaptive methods

Applicable even without complete mutually unbiased bases

Abstract

We present a strategy for estimation of d-level quantum states and for the simple adaption of corresponding measurements. The adaption method is inspired by mutually unbiased measurements, but it is also applicable in cases for which no complete set of mutually unbiased bases is known. We present results of Monte Carlo simulations, that demonstrate the fidelity gain of the adaptive strategy compared to a non-adaptive estimation.