Temporal modulation as a resource: enhanced frequency estimation in continuous variable systems

• URL: http://arxiv.org/abs/2606.15108v1
• Date: Sat, 13 Jun 2026 04:45:01 GMT
• Title: Temporal modulation as a resource: enhanced frequency estimation in continuous variable systems
• Abstract summary: We show that temporal encoding fundamentally alters mechanism of dynamical phase accumulation.<n>This framework reveals a genuine precision enhancement over the conventional time-independent baseline.<n>Our framework provides a universal paradigm for exploiting time-dependent quantum control in next-generation sensors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Frequency estimation, a cornerstone of quantum metrology, has been significantly enhanced by advanced quantum sensing strategies. However, most protocols rely either on static or time-independent encoding mechanisms, inherently limiting their achievable precision scaling, or on control strategies requiring changing the Hamiltonian and/or implementing feedback mechanisms. To overcome this, we investigate a simpler dynamical encoding protocol where the quantum oscillator is driven by a general continuous temporal frequency modulation $Ω(t) = ω_0 f(t)$. We analytically demonstrate that for a given modulation profile $f(t)$ and its corresponding time-integral $F(t)$, the quantum Fisher information (QFI) scales as $\mathcal{O}(F(t)^2)$. This enhancement stems from the fact that temporal encoding fundamentally alters the mechanism of dynamical phase accumulation. Crucially, when evaluated under the energy and evolution-time constraints, this framework reveals a genuine precision enhancement over the conventional time-independent baseline. By analyzing explicit polynomial and exponential modulations, we establish that arbitrary precision scaling can be deterministically engineered, with ultimate bounds that are asymptotically saturable via optimal homodyne detection. Our framework provides a universal paradigm for exploiting time-dependent quantum control in next-generation sensors.

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