General validity of the dissipation–sensitivity bounds beyond Gaussian states

Establish whether the dissipation–sensitivity trade-off inequalities remain valid for non-Gaussian steady states beyond the numerically investigated Kerr-nonlinear bosonic systems.

Background

The paper rigorously derives the dissipation–sensitivity trade-off inequalities for Gaussian steady states of a single-mode bosonic system governed by a quadratic Hamiltonian and linear thermal dissipators. The authors then numerically test the inequalities in non-Gaussian states generated by a Kerr nonlinearity and observe no violations. However, the numerical evidence does not establish whether the bounds hold generally outside the Gaussian regime, leaving their broader validity unresolved.

References

The numerical results show that the equalities can be approximately obtained in metrologically preferable situations, and indicate that the bounds persist in the non-Gaussian setting, while their general validity remains open to future study.

— Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems  (2610.01112 - Yoshimura et al., 1 Oct 2026) in Section ‘Dissipation–sensitivity trade-off,’ paragraph introducing the Gaussian derivation and non-Gaussian investigation

More elaborate use of non-Gaussianity could make EPR smaller than the QFI bound, but a decisive conclusion remains open to future research.

— Dissipation-Sensitivity Trade-Off in Dissipative Bosonic Systems  (2610.01112 - Yoshimura et al., 1 Oct 2026) in Section ‘A non-Gaussian case,’ final paragraph