Multiparameter Heisenberg Scaling in Arbitrary Optical Networks with Limited Squeezed Resources

Simultaneous estimation of multiple parameters is a central task in quantum metrology, distributed sensing, and the calibration of large photonic interferometers. I will show novel quantum interference techniques with squeezed light for the measurements with Heisenberg-scaling sensitivity of multiple parameters in linear optical networks [1, 2, 3, 4]. I will also demonstrate the Heisenberg-scaling characterization of an arbitrary two-channel network via two-port homodyne de- tection and two-mode squeezed sources [5, 6]. I will finally show the geometric bounds on multiparameter Heisenberg scaling for arbitrary M-mode networks with limited squeezed resources [7].

Applications can range from environmental sensing to high-precision biomedical imaging, characterization of nanomaterials, navigation, gravity tests and quantum networks of high-precision clocks.