Related papers: Enhanced sensing of Stark weak field under the influence of Aubry-Andr{é}-Harper criticality

Enhanced sensing of Stark weak field under the influence of Aubry-Andr{é}-Harper criticality

URL: http://arxiv.org/abs/2408.03232v1
Date: Tue, 6 Aug 2024 14:45:56 GMT
Title: Enhanced sensing of Stark weak field under the influence of Aubry-Andr{é}-Harper criticality
Authors: Ayan Sahoo, Debraj Rakshit,
Abstract summary: localization-delocalization transition can be leveraged as a resource for achieving quantum-enhanced sensitivity in parameter estimation. We demonstrate that by employing different classes of localization-delocalization transition potentials one can significantly enhance the precision of parameter estimation.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The localization-delocalization transition can be leveraged as a resource for achieving quantum-enhanced sensitivity in parameter estimation. We demonstrate that by employing different classes of localization-delocalization transition potentials one can significantly enhance the precision of parameter estimation. Specifically, we focus on the precision measurement of the Stark strength parameter encoded in the ground state of a one-dimensional fermionic lattice under the influence of Aubry-Andr{\'e}-Harper (AAH) localization-delocalization transition. We consider the single-particle system and the system at half-filling. Our work reveals that the Quantum Fisher Information (QFI) offers a superior scaling with respect to the system size in comparison to the pure stark case, leading to a better parameter estimation. However, experimentally measuring fidelity-based QFI in a many-body system poses significant challenges. To address this, we suggest experimentally relevant operators that can be utilized to achieve precision surpassing the Heisenberg Limit (HL) or can even saturate the QFI scaling. These operators, relevant for practical experimental setups, provides a feasible pathway to harness the advantages offered by the localization-delocalization transition by exploiting two distinct localizing potentials for quantum-enhanced parameter estimation.

Related papers

Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z)
Multiparameter critical quantum metrology with impurity probes [0.0]
We introduce the two-impurity Kondo (2IK) model as a novel paradigm for critical quantum metrology. We demonstrate that by applying a known control field, the singularity can be removed and measurement sensitivity restored.
arXiv Detail & Related papers (2023-11-28T16:32:51Z)
Localization Driven Quantum Sensing [0.0]
We show that the delocalization-localization transition in a quantum-many body (QMB) systems is a compelling quantum resource for achieving quantum-enhanced sensitivity in parameter estimation. We exploit the vulnerability of a near-transition QMB state against the parameter shift for devising efficient sensing tools.
arXiv Detail & Related papers (2023-05-03T17:57:37Z)
Symmetric Pruning in Quantum Neural Networks [111.438286016951]
Quantum neural networks (QNNs) exert the power of modern quantum machines. QNNs with handcraft symmetric ansatzes generally experience better trainability than those with asymmetric ansatzes. We propose the effective quantum neural tangent kernel (EQNTK) to quantify the convergence of QNNs towards the global optima.
arXiv Detail & Related papers (2022-08-30T08:17:55Z)
Gate-based spin readout of hole quantum dots with site-dependent $g-$factors [101.23523361398418]
We experimentally investigate a hole double quantum dot in silicon by carrying out spin readout with gate-based reflectometry. We show that characteristic features in the reflected phase signal arising from magneto-spectroscopy convey information on site-dependent $g-$factors in the two dots.
arXiv Detail & Related papers (2022-06-27T09:07:20Z)
Analytical and experimental study of center line miscalibrations in M\o lmer-S\o rensen gates [51.93099889384597]
We study a systematic perturbative expansion in miscalibrated parameters of the Molmer-Sorensen entangling gate. We compute the gate evolution operator which allows us to obtain relevant key properties. We verify the predictions from our model by benchmarking them against measurements in a trapped-ion quantum processor.
arXiv Detail & Related papers (2021-12-10T10:56:16Z)
High-precision estimation of the parameters in the reservoir via the two-level system [0.0]
We find entangled state and optimal superposition state are beneficial for parameter estimation with one-qubit probe. The phenomenon of quantum Fisher information return occurs when the detuning or the temperature is estimated.
arXiv Detail & Related papers (2021-05-06T08:44:55Z)
A machine learning approach to Bayesian parameter estimation [0.0]
We formulate parameter estimation as a classification task and use artificial neural networks to efficiently perform Bayesian estimation. We show that the network's posterior distribution is centered at the true (unknown) value of the parameter within an uncertainty given by the inverse Fisher information.
arXiv Detail & Related papers (2020-06-03T16:33:21Z)
Quantum probes for universal gravity corrections [62.997667081978825]
We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system. We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure. Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
arXiv Detail & Related papers (2020-02-13T19:35:07Z)
In and out of equilibrium quantum metrology with mean-field quantum criticality [68.8204255655161]
We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
arXiv Detail & Related papers (2020-01-09T19:20:42Z)

This list is automatically generated from the titles and abstracts of the papers in this site.