Metrological approach to the emergence of classical objectivity
- URL: http://arxiv.org/abs/2510.12313v1
- Date: Tue, 14 Oct 2025 09:13:46 GMT
- Title: Metrological approach to the emergence of classical objectivity
- Authors: Anthony Kiely, Diana A. Chisholm, Akram Touil, Sebastian Deffner, Gabriel Landi, Steve Campbell,
- Abstract summary: We show that the quantum Fisher information provides a useful metric for assessing the rate at which classical objectivity emerges.<n>Our formalism allows us to explore how the choice of measurement impacts the precision with which an observer can determine the state of the system.
- Score: 0.29316801942271303
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present a precise characterization of the onset of classicality that combines the formalism of quantum Darwinism with the tools from quantum metrology. We show that the quantum Fisher information provides a useful metric for assessing the rate at which classical objectivity emerges. Furthermore, our formalism allows us to explore how the choice of measurement impacts the precision with which an observer can determine the state of the system. For a paradigmatic example of the spin-star model, we demonstrate that optimal measurements lead to the emergence of classicality at an exponential rate. Although other measurements necessarily lead to slower emergence, we importantly show that suboptimal measurements can still saturate the Cram\'{e}r-Rao bound. By recasting emergent classicality as an information acquisition protocol, our framework provides a precise operational description of quantum Darwinism.
Related papers
- Modelling quantum measurements without superposition [39.146761527401424]
We investigate whether sets of quantum measurements can be modelled by using only devices that are operationally classical.<n>This leads us to propose classical measurement models, which we show to be stronger than commutative measurements.<n>Our work sheds light on superposition as a resource for quantum measurement devices.
arXiv Detail & Related papers (2026-02-19T15:27:27Z) - Digitized Counterdiabatic Quantum Feature Extraction [35.670314643295036]
We introduce a Hamiltonian-based quantum feature extraction method that generates complex features via the dynamics of $k$-local many-body spins Hamiltonians.<n>We assess the approach on high-dimensional, real-world datasets, including molecular toxicity classification and image recognition.<n>The results suggest that combining quantum and classical feature extraction can provide consistent improvements across diverse machine learning tasks.
arXiv Detail & Related papers (2025-10-15T17:59:35Z) - Quantum estimation of cosmological parameters [0.0]
We apply a quantum metrology tool - the quantum Fisher information - to the squeezed quantum state describing cosmological perturbations at the end of inflation.<n>We find that the gap between classical and quantum Fisher information grows exponentially with the number of e-folds a mode spends outside the horizon.<n>We show that accessing the decaying mode of inflationary perturbations is a necessary (but not sufficient) condition for exponentially improving the inference of the tensor-to-scalar ratio.
arXiv Detail & Related papers (2025-07-16T13:40:46Z) - Physical consequences of Lindbladian invariance transformations [44.99833362998488]
We show that symmetry transformations can be exploited, on their own, to optimize practical physical tasks.
In particular, we show how they can be used to change the measurable values of physical quantities regarding the exchange of energy and/or information with the environment.
arXiv Detail & Related papers (2024-07-02T18:22:11Z) - Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.<n>This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
arXiv Detail & Related papers (2023-10-04T09:51:00Z) - Testing quantum Darwinism dependence on observers' resources [62.997667081978825]
We use time-frequency signal processing techniques to understand if and how the emergent classical picture is changed.
We show the crucial role of correlations in the reconstruction procedure and point to the importance of studying the type of measurements that must be done to access an objective classical data.
arXiv Detail & Related papers (2023-06-26T15:02:24Z) - High-dimensional monitoring and the emergence of realism via multiple observers [41.94295877935867]
Correlation is the basic mechanism of every measurement model.<n>We introduce a model that interpolates between weak and strong non-selective measurements for qudits.
arXiv Detail & Related papers (2023-05-13T13:42:19Z) - Continuously Monitored Quantum Systems beyond Lindblad Dynamics [68.8204255655161]
We study the probability distribution of the expectation value of a given observable over the possible quantum trajectories.
The measurements are applied to the entire system, having the effect of projecting the system into a product state.
arXiv Detail & Related papers (2023-05-06T18:09:17Z) - Quantum measurements and equilibration: the emergence of objective outcomes via entropy maximisation [0.0]
We formalise the hypothesis that quantum measurements are driven by the natural tendency of closed systems to maximize entropy.<n>We lay the groundwork for self-contained models of quantum measurement, proposing improvements to our simple scheme.
arXiv Detail & Related papers (2023-02-22T10:06:17Z) - Exponential precision by reaching a quantum critical point [0.0]
We report a protocol that is capable of surpassing the quadratic scaling, and yields an exponential advantage.
The exponential advantage stems from the breakdown of the adiabatic condition close to a critical point.
Our findings unveil a novel quantum metrological protocol whose precision scaling goes beyond the paradigmatic Heisenberg limit.
arXiv Detail & Related papers (2021-12-21T14:46:33Z) - Comparing relaxation mechanisms in quantum and classical
transverse-field annealing [0.0]
We show it is possible to more directly probe the dissipative dynamics of the system at intermediate points along the anneal.
We also explore in simulation the role of temperature whilst pausing as a means to better distinguish quantum and classical models of quantum annealers.
arXiv Detail & Related papers (2020-09-10T15:21:34Z) - Quantifying Information Extraction using Generalized Quantum
Measurements [0.0]
We show that the same properties hold even when considering generalized measurements.
Observational entropy is a well-defined quantifier determining how influential a given series of measurements is in information extraction.
We discuss observational entropy as a tool for quantum state inference.
arXiv Detail & Related papers (2020-07-11T07:31:25Z) - Refined diamond norm bounds on the emergence of objectivity of
observables [6.59529078336196]
We derive tighter diamond norm bounds on the emergence of objectivity of observables for quantum systems of infinite dimension.
Our results provide a unifying framework to benchmark quantitatively the rise of objectivity in the quantum-to-classical transition.
arXiv Detail & Related papers (2020-03-18T11:05:54Z) - Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations.
We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
arXiv Detail & Related papers (2020-03-04T14:01:17Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.