Cascaded Multiparameter Quantum Metrology

Abstract

We present an innovative, platform-independent concept for multiparameter sensing where the measurable parameters are in series, or cascaded, enabling measurements as a function of position. With temporally resolved detection, we show that squeezing can give a quantum enhancement in sensitivity over that of classical states by a factor of $e^{2r}$, where $r\approx 1$ is the squeezing parameter. As an example, we have modeled an interferometer that senses multiple phase shifts along the same path, demonstrating a maximal quantum advantage by combining a coherent state with squeezed vacuum. Further classical modeling with up to 100 phases shows linear scaling potential for adding nodes to the sensor. The approach represents a new paradigm in multiparameter quantum metrology, and can be applied to remote sensing, geophysical surveying, and infrastructure monitoring.

16 pages, 11 figures. Comments are welcome

References in corpus (12)

• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• Multi-parameter estimation beyond Quantum Fisher Information
• Experimental multiphase estimation on a chip
• Ultimate precision of multi-parameter quantum magnetometry under the parallel scheme
• Probe incompatibility in multiparameter noisy quantum metrology
• Quantum multi-parameter estimation with generalized balanced multi-mode NOON-like states
• General expressions for the quantum Fisher information matrix with applications to discrete quantum imaging
• Optimal Mach-Zehnder phase sensitivity with Gaussian states
• Multiple-phase quantum interferometry -- real and apparent gains of measuring all the phases simultaneously
• Experimental multiparameter quantum metrology in adaptive regime
• Thermo-elastic induced phase noise in the LISA Pathfinder spacecraft
• Optimal tests for continuous-variable quantum teleportation and photodetectors