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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…

量子物理 · 物理学 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…

数学物理 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

统计理论 · 数学 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…

广义相对论与量子宇宙学 · 物理学 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…

高能物理 - 唯象学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

宇宙学与河外天体物理 · 物理学 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…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

广义相对论与量子宇宙学 · 物理学 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…

量子物理 · 物理学 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…

量子物理 · 物理学 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.…

广义相对论与量子宇宙学 · 物理学 2026-04-09 Iñaki Garay , Sergio Rodríguez-González , Raül Vera
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