Improving parameters estimation in Gaussian channels using quantum coherence
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 param...
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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
15.09.2024
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Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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DOI: | 10.48550/arxiv.2409.09675 |