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Simultaneous estimation of multiple parameters is required in many practical applications. A lower bound on the variance of simultaneous estimation is given by the quantum Fisher information matrix. This lower bound is, however, not…

Quantum Physics · Physics 2020-04-22 Shingo Kukita

A projection method is proposed to treat the one-dimensional Schrodinger equation for a single particle when the Generalized Uncertainty Principle (GUP) generates an ultraviolet (UV) wavevector cutoff. The existence of a unique coordinate…

Mathematical Physics · Physics 2015-06-12 K. Sailer , Z. Peli , S. Nagy

A rigorous lower bound is obtained for the average resolution of any estimate of a shift parameter, such as an optical phase shift or a spatial translation. The bound has the asymptotic form k_I/<2|G|> where G is the generator of the shift…

Quantum Physics · Physics 2015-06-03 Michael J. W. Hall , Howard M. Wiseman

Entropic uncertainty relations play a fundamental role in quantum information theory. However, determining optimal (tight) entropic uncertainty relations for general observables remains a formidable challenge and has so far been achieved…

Quantum Physics · Physics 2026-02-03 Ma-Cheng Yang , Cong-Feng Qiao

The implementation and practicality of quantum algorithms highly hinge on the quality of operations within a quantum processor. Therefore, including realistic error models in quantum computing simulation platforms is crucial for testing…

Quantum Physics · Physics 2021-04-12 Ahmed Abid Moueddene , Nader Khammassi , Koen Bertels , Carmen G. Almudever

We compute the corrections to the Schwarzschild metric necessary to reproduce the Hawking temperature derived from a Generalized Uncertainty Principle (GUP), so that the GUP deformation parameter is directly linked to the deformation of the…

High Energy Physics - Theory · Physics 2015-09-30 Fabio Scardigli , Roberto Casadio

We study, in a bottom-up approach, the fine-tuning problem between soft SUSY breaking parameters and the $\mu$-term for the successful electroweak symmetry breaking in the minimal supersymmetric standard model. It is shown that certain…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hiroyuki Abe , Tatsuo Kobayashi , Yuji Omura

This note examines the behavior of generalization capabilities - as defined by out-of-sample mean squared error (MSE) - of Linear Gaussian (with a fixed design matrix) and Linear Least Squares regression. Particularly, we consider a…

Statistics Theory · Mathematics 2021-09-21 Karthik Duraisamy

We propose two higher order generalized uncertainty principles(GUPs) which predict a minimum uncertainty in momentum and apply the deformations that they entail of the Heisenberg algebra to one half of the phase space of the LRS Bianchi I…

General Relativity and Quantum Cosmology · Physics 2020-12-01 Daniel Berkowitz

Perturbative unification of soft supersymmetry--breaking (SSB) parameters is proposed in Gauge-Yukawa unified models. The method, which can be applied in any finite order in perturbation theory, consists in searching for renormalization…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jisuke Kubo , Myriam Mondragon , George Zoupanos

We analyse a n-dimensional Generalized Uncertainty Principle (GUP) quantization framework, characterized by a non-commutative nature of the configurational variables. First, we identify a set of states which are maximally localized only…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Sebastiano Segreto , Giovanni Montani

We derive generalized geodesic equations in curved spacetime that include conservative forces, dissipative effects, and quantum-gravity-motivated minimal-length corrections. Conservative interactions are incorporated through external vector…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Gaurav Bhandari , S. D. Pathak , Harjit Ghotra , Maxim Yu Khlopov , Maxim A. Krasnov

In recent years the discrepancy in the value of the Hubble parameter has been growing. Recently, there are works supporting the proposal that the uncertainty principles can solve the Hubble tension. Motivated by this proposal, we work with…

General Relativity and Quantum Cosmology · Physics 2021-10-07 S. Aghababaei , H. Moradpour , Elias C. Vagenas

We investigate the generalized cubic covariant Galileon model, a kinetically driven dark energy model within the Horndeski class of theories. The model extends the cubic covariant Galileon by including power laws of the field derivatives in…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Noemi Frusciante , Simone Peirone , Luis Atayde , Antonio De Felice

A State Space Model (SSM) is a foundation model in time series analysis, which has recently been shown as an alternative to transformers in sequence modeling. In this paper, we theoretically study the generalization of SSMs and propose…

Machine Learning · Computer Science 2024-05-07 Fusheng Liu , Qianxiao Li

Conventional formulation of quantum sensing has been mostly developed in the context of local estimation, where the unknown parameter is roughly known. In contrast, global sensing, where the prior information is incomplete and the unknown…

Quantum Physics · Physics 2025-07-08 Chiranjib Mukhopadhyay , Matteo G. A. Paris , Abolfazl Bayat

We discuss a gedanken experiment for the simultaneous measurement of the position and momentum of a particle in de Sitter spacetime. We propose an extension of the so-called generalized uncertainty principle (GUP) which implies the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Bambi , F. R. Urban

Many Generalized Uncertainty Principle (GUP) models modify the inner-product measure to ensure symmetric position or momentum operators. We show that an alternate approach to these GUPs is to symmetrize the operators rather than modifying…

Quantum Physics · Physics 2026-02-19 Michael Bishop , Daniel Hooker , Doug Singleton

We generalize Grover algorithm with two arbitrary phases in a density matrix set up. We give exact analytic expressions for the success probability after arbitrary number of iteration of the generalized Grover operator as a function of…

Quantum Physics · Physics 2022-08-01 Saptarshi Roy Chowdhury , Swarupananda Pradhan

We use a canonical parametrization of twisted geometries describing the classical phase space of loop quantum gravity on a fixed graph, and establish its explicit correspondence with the associated frame bases and spinorial descriptions.…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Iñaki Garay , Sergio Rodríguez-González , Raül Vera
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