Non-Markovian strong coupling in a bosonic probe produces non-monotonic quantum Fisher information with a finite optimal interrogation time for thermometry, while squeezed states give transient gains and strong coupling softens low-T error scaling from exponential to polynomial.
Phase space formalism for quantum estimation of Gaussian states
8 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We formulate, with full generality, the asymptotic estimation theory for Gaussian states in terms of their first and second moments. By expressing the quantum Fisher information (QFI) and the elusive symmetric logarithmic derivative (SLD) in terms of the state's moments (and their derivatives) we are able to obtain the noncommutative extension of the well known expression for the Fisher information of a Gaussian probability distribution. Focusing on models with fixed first moments and identical Williamson 'diagonal' states --which include pure state models--, we obtain their SLD and QFI, and elucidate what features of the Wigner function are fundamentally accessible, and at what rates. In addition, we find the optimal homodyne detection scheme for all such models, and show that for pure state models they attain the fundamental limit.
fields
quant-ph 8years
2026 8verdicts
UNVERDICTED 8representative citing papers
Proves TMSV optimality for finite-energy incoherent stochastic sensing and shows entanglement is required for independent gain estimation, with non-Gaussian to Gaussian transition in unentangled states as dead time grows.
A variational framework yields closed-form Bayesian estimators for Gaussian quantum states via polynomial quadrature operators and a global optimality condition.
No-go theorem shows ancilla energy freedom does not raise max QFI beyond the signal-only optimum in Gaussian passive-unitary estimation under signal-energy constraint.
In an exciton-optomechanical system, the quantum Fisher information matrix for simultaneous estimation of g and k_x is derived via Gaussian formalism and SLD/RLD, showing improved precision at low temperature and strong couplings with heterodyne detection approaching the quantum limit.
Unruh effect degrades single- and two-parameter estimation precision for Gaussian channel parameters, with quantum Cramér-Rao bound asymptotically achievable and heterodyne near-optimal at high acceleration.
Embedding squeezing in the system Hamiltonian and leveraging environmental memory induces higher-order QFI time dependence and information backflow that can restore or exceed unitary precision in noisy frequency estimation.
Derives SBS input-output model and shows quantum-limited detection outperforms classical and photon-counting methods for eavesdropper localization in optical fibers via hypothesis testing and metrology.
citing papers explorer
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Non-equilibrium quantum thermometry with bosonic samples
Non-Markovian strong coupling in a bosonic probe produces non-monotonic quantum Fisher information with a finite optimal interrogation time for thermometry, while squeezed states give transient gains and strong coupling softens low-T error scaling from exponential to polynomial.
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Stochastic signal sensing with finite energy and dead time at the fundamental quantum limit
Proves TMSV optimality for finite-energy incoherent stochastic sensing and shows entanglement is required for independent gain estimation, with non-Gaussian to Gaussian transition in unentangled states as dead time grows.
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Closed-form Bayesian quantum estimation of Gaussian states
A variational framework yields closed-form Bayesian estimators for Gaussian quantum states via polynomial quadrature operators and a global optimality condition.
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No-Go Theorem for Ancilla-Assisted Gaussian Enhancement in Passive-Unitary Estimation
No-go theorem shows ancilla energy freedom does not raise max QFI beyond the signal-only optimum in Gaussian passive-unitary estimation under signal-energy constraint.
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Controlling multiparameter quantum estimation in exciton-optomechanics system
In an exciton-optomechanical system, the quantum Fisher information matrix for simultaneous estimation of g and k_x is derived via Gaussian formalism and SLD/RLD, showing improved precision at low temperature and strong couplings with heterodyne detection approaching the quantum limit.
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Impact of the Unruh effect on the estimation precision of Gaussian channel parameters
Unruh effect degrades single- and two-parameter estimation precision for Gaussian channel parameters, with quantum Cramér-Rao bound asymptotically achievable and heterodyne near-optimal at high acceleration.
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Beating noise in frequency estimation with squeezing and memory in continuous-variable systems
Embedding squeezing in the system Hamiltonian and leveraging environmental memory induces higher-order QFI time dependence and information backflow that can restore or exceed unitary precision in noisy frequency estimation.
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Fundamental Limits of Eavesdropper Detection and Localization in Optical Fiber via Stimulated Brillouin Scattering
Derives SBS input-output model and shows quantum-limited detection outperforms classical and photon-counting methods for eavesdropper localization in optical fibers via hypothesis testing and metrology.