Improving parameters estimation in Gaussian channels using quantum coherence

Abstract

Gaussian quantum channels are relevant operations in continuous variable systems. In general, given an arbitrary state, the action on it is well-known provided that the quantum channels are completely characterized. In this work, we consider the inverse problem, i.e., the estimation of channel parameters employing probes in which quantum coherence is used as a resource. Two paradigmatic bosonic Gaussian channels are treated, the thermal attenuator and the thermal amplifier. We also consider the degradation of the coherence due to a Markovian bath. The quantum Fisher information for each relevant parameter is computed and we observed that the rate of change of coherence concerning the channel parameter, rather than the amount of coherence, can produce a parameter estimation gain. Finally, we obtain a direct relation between the quantum Fisher information and the relative entropy or coherence, allowing in principle an experimental implementation based on the measurement of the covariance matrix of the probe system.

References in corpus (11)

• Quantum Metrology for Gravitational Wave Astronomy
• The structure of degradable quantum channels
• Measurement of damping and temperature: Precision bounds in Gaussian dissipative channels
• Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
• Intracity quantum communication via thermal microwave networks
• Classical capacity of Gaussian thermal memory channels
• Enhancing Gaussian quantum metrology with position-momentum correlations
• Coherence behavior of strongly coupled bosonic modes
• Efficient Quantum Tomography of Two-Mode Wigner Functions
• Reconstruction of Wigner function of electron beams based on coherence measurements
• Coherence dynamics induced by attenuation and amplification Gaussian channels

Cited by in corpus (7)

• Generic Two-Mode Gaussian States as Quantum Sensors
• Enhanced frequency and temperature estimation by a $\mathcal{P}\mathcal{T}$-symmetric quantum oscillator
• Enhanced frequency estimation by non-Gaussianity of Fock states
• Enhanced quantum phase estimation with $q$-deformed nonideal nonclassical light
• Impact of the Unruh effect on the estimation precision of Gaussian channel parameters
• Temperature and non-Markovian parameter estimation in quantum Brownian motion
• Probing parameters estimation with Gaussian non-commutative measurements