Quantum process tomography of adiabatic and superadiabatic stimulated Raman passage

TL;DR

This paper performs quantum process tomography on STIRAP and saSTIRAP in three-level systems, using realistic parameters to analyze the process matrices under ideal and decoherence-affected conditions.

Contribution

It introduces a basis for process tomography in three-level systems and provides numerical simulations with realistic parameters for both ideal and decoherence scenarios.

Findings

Process matrices for STIRAP and saSTIRAP are calculated.

The basis includes the identity and Gell-Mann operators.

Results include effects of decoherence on quantum processes.

Abstract

Quantum control methods for three-level systems have become recently an important direction of research in quantum information science and technology. Here we present numerical simulations using realistic experimental parameters for quantum process tomography in STIRAP (stimulated Raman adiabatic passage) and saSTIRAP (superadiabatic STIRAP). Specifically, we identify a suitable basis in the operator space as the identity operator together with the 8 Gell-Mann operators, and we calculate the corresponding process matrices, which have $9\times 9=81$ elements. We discuss these results for the ideal decoherence-free case, as well as for the experimentally-relevant case with decoherence included.