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Ultimate precision: Gaussian parameter estimation in flat and curved spacetime

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arxiv 1511.03905 v2 pith:Z72ZXZGW submitted 2015-11-12 quant-ph

Ultimate precision: Gaussian parameter estimation in flat and curved spacetime

Dominik \v{S}afr\'anek , Jan Kohlrus , David Edward Bruschi , Antony R. Lee , Ivette Fuentes This is my paper
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keywords parametersspacetimeestimationstatesfieldquantumcurvedflat
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Relativistic quantum metrology provides an optimal strategy for the estimation of parameters encoded in quantum fields in flat and curved spacetime. These parameters usually correspond to physical quantities of interest such as proper times, accelerations, gravitational field strengths, among other spacetime parameters. The precise estimation of these parameters can lead to novel applications in gravimeters, spacetime probes and gravitational wave detectors. Previous work in this direction only considered pure probe states. In realistic situations, however, probe states are mixed. In this paper, we provide a framework for the computation of optimal precision bounds for mixed single- and two-mode Gaussian states within quantum field theory. This enables the estimation of spacetime parameters in case the field states are initially at finite temperature.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Path Integral Approach to Quantum Fisher Information

    quant-ph 2026-04 unverdicted novelty 7.0

    The quantum Fisher information is reformulated as the connected symmetrized covariance of a time-integrated action deformation or as an insertion of the action derivative in the propagator within a path integral framework.

  2. Quantum Fisher information of the Klein--Gordon, $\phi^4$, and Dirac vacua

    hep-th 2026-07 conditional novelty 6.0

    Vacuum quantum Fisher information versus mass scales as m^{d-2} for free Klein–Gordon fields, diverges or shrinks under ϕ⁴ interactions, and is UV-divergent or zero for free Dirac fields depending on dimension.