We establish the rigorous operational meaning of dynamical total coherence within the resource non-increasing (RNI) framework for the task of single-parameter quantum channel estimation. By connecting distance-based and maximal-increment-based dynamical coherence measures with the right-logarithmic-derivative (RLD) Fisher information and the Cramér-Rao bound (CRB), we prove that each dynamical coherence measure directly determines the fundamental precision limit of channel parameter estimation. We show that the diamondnorm measure yields a tight error lower bound, the induced trace-norm measure gives a simplified bound for device-limited scenarios, the relative-entropy measure governs the asymptotic error-exponent rate, the
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-based measure quantifies the precision gain from optimal input states, and the RLD-Fisher-based measure provides an achievable error upper bound. This work unifies dynamical resource theory with quantum channel estimation and endows dynamical total coherence with clear, task-oriented operational significance.
Quantum coherence is a central resource in quantum information science, yet general frameworks and constraints governing its dynamics remain limited. Although quantum coherence lacks a general monotonicity law, we establish an exact integral fluctuation theorem (FT) for coherence dynamics, formulated in terms of Kirkwo...
Kun Zhang, Hai-Long Shi, Xiao-Hui Wang et al.· 0 citations
The precision of quantum parameter estimation is traditionally constrained by the quantum Cram\'{e}r-Rao bound, which is based on the Hermitian measurement framework. Recent studies of non-Hermitian systems have suggested new possibilities for enhancing parameter-estimation sensitivity. Here, we experimentally realize...
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The minimum change principle provides an information-theoretic characterization of the Bayes reversal channel in classical probability theory and has recently been proposed as a framework for extending Bayes'rule to quantum information theory. Using quantum relative entropy, we investigate a minimum change principle fo...
Future quantum networks are expected to perform multiple tasks simultaneously within a single system, such as integrated sensing and communication (ISAC) architectures. Despite various metrics, we find that the evaluation of multiple tasks can be unified by their information capacity, and the total task capacity is not...
A protocol for approximating the measurement distributions of quantum states, extending beyond standard observable estimation is introduced, and tightened gate complexity bounds for practically relevant systems, including those with k-local interactions, long-tailed matrix ensembles, and conserved quantities are provid...
Arul Rhik Mazumder, James D. Watson, Samson Wang· 0 citations
Non-KAM (Kolmogorov-Arnold-Moser) systems, when subjected to weak time-dependent perturbations, exhibit an abrupt transition to classical chaos through the breakdown of invariant phase-space tori. We showcase the utilization of non-KAM systems in the quantum regime as quantum sensors, leveraging their sensitivity at \t...
