Quantum process reconstruction based on mutually unbiased basis

TL;DR

This paper introduces a method for quantum process reconstruction using mutually unbiased projectors, linking quantum-state tomography with process coefficients, and evaluates its robustness against measurement errors.

Contribution

It presents a novel reconstruction scheme based on MUB-projectors for D-dimensional quantum systems, extending quantum tomography techniques.

Findings

The scheme effectively reconstructs quantum processes from MUB measurements.

Performance analysis shows robustness against random measurement errors.

Applicable to systems where D is a power of a prime number.

Abstract

We study a quantum process reconstruction based on the use of mutually unbiased projectors (MUB-projectors) as input states for a D-dimensional quantum system, with D being a power of a prime number. This approach connects the results of quantum-state tomography using mutually unbiased bases (MUB) with the coefficients of a quantum process, expanded in terms of MUB-projectors. We also study the performance of the reconstruction scheme against random errors when measuring probabilities at the MUB-projectors.