6 papers
Geometric bounds on multiparameter Heisenberg scaling in optical metrology with limited squeezed resources
Atmadev Rai, Paolo Facchi, Vincenzo Tamma
The simultaneous estimation of multiple parameters is a central task in quantum metrology, distributed sensing, and the calibration of large photonic interferometers. A fundamental…
Heisenberg-scaling characterization of a two-channel optical network via two-port homodyne detection
Atmadev Rai, Paolo Facchi, Vincenzo Tamma
We present a fully Gaussian and experimentally feasible scheme for the simultaneous estimation of the four real parameters that characterize a two-channel optical network. The sche…
Slow convergence of Trotter decomposition for rotations
Paolo Facchi, Francesco Perrini, Vito Viesti
We study the Trotter approximation for a pair of orbital angular momentum operators, and . In particular, we investigate the scaling behavior of the state-dependent Trot…
Quantum-limited estimation of the frequency shift between two interfering photons by time sampling of their quantum beats
Luca Maggio, Danilo Triggiani, Paolo Facchi +1
We present a sensing scheme for estimating the frequency difference of two non-entangled photons. The technique consists of time-resolving sampling measurements at the output of a…
Multiparameter quantum metrology at Heisenberg scaling for an arbitrary two-channel linear interferometer with squeezed light
Atmadev Rai, Danilo Triggiani, Paolo Facchi +1
We present a framework for simultaneously estimating all four real parameters of a general two-channel unitary U(2) with Heisenberg-scaling precision. We derive analytical expressi…
Heisenberg-scaling sensitivity in the estimation of two parameters in a Mach-Zehnder interferometer
Atmadev Rai, Danilo Triggiani, Paolo Facchi +1
Achieving the ultimate quantum precision in the estimation of multiple physical parameters simultaneously is a challenge in quantum metrology due to fundamental limitations and exp…