Cartan Quantum Metrology
Gabriele Fazio, Jiayu He, Matteo G. A. Paris
TL;DR
This paper investigates the limits of precision in characterizing two-qubit gates using Cartan decomposition, identifying optimal probe states and their robustness against noise.
Contribution
It introduces methods to find optimal probe states for joint parameter estimation in two-qubit gates, enhancing quantum metrology techniques.
Findings
Derived bounds for estimation precision of Cartan parameters
Identified optimal probe states maximizing precision and robustness
Analyzed noise effects on optimal probes
Abstract
We address the characterization of two-qubit gates, focusing on bounds to precision in the joint estimation of the three parameters that define their Cartan decomposition. We derive the optimal probe states that jointly maximize precision, minimize sloppiness, and eliminate quantum incompatibility. Additionally, we analyze the properties of the set of optimal probes and evaluate their robustness against noise.
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Taxonomy
TopicsQuantum Mechanics and Applications · Advanced Thermodynamics and Statistical Mechanics · Quantum and Classical Electrodynamics