The optimized finite-time environmental quantum Fisher information provides an unambiguous Heisenberg-scaling metric, and two dissipative spin sensors achieve N² scaling, with direct photodetection sufficient in one case.
The role of correlations in a sequence of quantum observations on empirical measures
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abstract
The outcome of continuously measuring a quantum system is a string of data whose intricate correlation properties reflect the underlying quantum dynamics. In this paper we study the role of these correlation in reconstructing the probabilities of finite sequences of outcomes, the so-called empirical distributions. Our approach is cast in terms of generic quantum instruments, and therefore encompass all types of sequential and continuous quantum measurements. We also show how this specializes to important cases, such as quantum jumps. To quantify the precise role of correlations, we introduce a relative-entropy based measure that quantifies the range of correlations in the string, and the influence that these correlations have in reconstructing finite sequences.
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Timescales, Squeezing and Heisenberg Scalings in Many-Body Continuous Sensing
The optimized finite-time environmental quantum Fisher information provides an unambiguous Heisenberg-scaling metric, and two dissipative spin sensors achieve N² scaling, with direct photodetection sufficient in one case.