Honorable Rector, Honorable Professors, and Students of this University: In
these times of political and economic struggle and nationalistic fragmentation,
it is a particular joy for me to see people assembling here to give their
attention exclusively to the highest values that are common to us all. I am
glad to be in this blessed land before a small circle of people who are
interested in topics of science to speak on those issues that, in essence, are
the subject of my own meditations.. [abridged].
We derive a quantum Cramér-Rao bound (QCRB) on the error of estimating a time-changing signal. The QCRB provides a fundamental limit to the performance of general quantum sensors, such as gravitational-wave detectors, force sensors, and atomic magnetometers. We apply the QCRB to the problem of forc...
We analyze a proposed experiment [S. Boixo et al., Phys. Rev. Lett. 101,
040403 (2008)] for achieving sensitivity scaling better than $1/N$ in a
Nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate
(BEC) of $N$ atoms. We present numerical simulations that confirm the
We develop generalized bounds for quantum single-parameter estimation problems for which the coupling to the parameter is described by intrinsic multisystem interactions. For a Hamiltonian with k-system parameter-sensitive terms, the quantum limit scales as 1/Nk, where N is the number of systems. Th...
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