6 papers
Spectrally local geometric response at the onset of many-body quantum chaos
George Mihailescu, Pablo M. Poggi
We introduce the spectral density of geometric response, a measure of eigenstate sensitivity across an energy spectrum. Applied to many-body quantum systems, it reveals an exponent…
Mind the Gap: Anti-Critical Quantum Metrology
George Mihailescu, Karol Gietka
Critical quantum metrology exploits the dramatic growth of the quantum Fisher information near quantum phase transitions to enhance the precision of parameter estimation. This enha…
Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
George Mihailescu, Uesli Alushi, Roberto Di Candia +2
Quantum phenomena offer the possibility of measuring physical quantities with precision beyond classical limits. However, current progress is constrained by scalability, environmen…
Quantum Sensing with Nanoelectronics: Fisher Information for an Applied Perturbation
George Mihailescu, Anthony Kiely, Andrew K. Mitchell
Quantum systems used for metrology can offer enhanced precision over their classical counterparts. The design of quantum sensors can be optimized by maximizing the quantum Fisher i…
Metrological symmetries in singular quantum multi-parameter estimation
George Mihailescu, Saubhik Sarkar, Abolfazl Bayat +2
The theoretical foundation of quantum sensing is rooted in the Cramér-Rao formalism, which establishes quantitative precision bounds for a given quantum probe. In many practical s…
Uncertain Quantum Critical Metrology: From Single to Multi Parameter Sensing
George Mihailescu, Steve Campbell, Karol Gietka
Critical quantum metrology relies on the extreme sensitivity of a system's eigenstates near the critical point of a quantum phase transition to Hamiltonian perturbations. This mean…