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The goal of quantum metrology is to improve measurements' sensitivities by harnessing quantum resources. Metrologists often aim to maximize the quantum Fisher information, which bounds the measurement setup's sensitivity. In studies of…

We study the black-box parameter estimation of expanding parameters and the dynamics of Gaussian interferometric power for the de Sitter space. We find that the state between separated open charts can be employed as probe state for the…

广义相对论与量子宇宙学 · 物理学 2022-10-04 Lulu Xiao , Cuihong Wen , Jiliang Jing , Jieci Wang

We derive a quantum Cram\'er-Rao bound (QCRB) on the error of estimating a time-changing signal. The QCRB provides a fundamental limit to the performance of general quantum sensors, such as gravitational-wave detectors, force sensors, and…

量子物理 · 物理学 2011-10-31 Mankei Tsang , Howard M. Wiseman , Carlton M. Caves

We study gravimetry with bosonic trapped atoms in the presence of random spatial inhomogeneity. The errors resulting from a random, shot-to-shot fluctuating spatial inhomogeneity are quantum non-Markovian. We show that in a system with…

量子物理 · 物理学 2026-04-14 Bharath Hebbe Madhusudhana , Andrew Harter , Avadh Saxena

Consider a statistical model with an epistemic restriction such that, unlike in classical mechanics, the allowed distribution of positions is fundamentally restricted by the form of an underlying momentum field. Assume an agent (observer)…

量子物理 · 物理学 2020-05-15 Agung Budiyono

Quantum phase estimation based on Gaussian states plays a crucial role in many application fields. In this paper, we study the precision bound for the scheme using two-mode squeezed Gaussian states. The quantum Fisher information is…

量子物理 · 物理学 2024-11-27 Jian-Dong Zhang , Chuang Li , Lili Hou , Shuai Wang

Quantum metrology studies the ultimate limit of precision in estimating a physical quantity if quantum strategies are exploited. Here we investigate the evolution of a two-level atom as a detector which interacts with a massless scalar…

广义相对论与量子宇宙学 · 物理学 2015-01-28 Zehua Tian , Jieci Wang , Heng Fan , Jiliang Jing

We address the following question: To what extent can a quantum field tell if it has been placed in de Sitter space? Our approach is to use the techniques of non-equilibrium quantum field theory to compute the time evolution of a state…

高能物理 - 理论 · 物理学 2015-03-05 Andreas Albrecht , R. Holman , Benoit J. Richard

We present a method to estimate the quantum Fisher information (QFI) of many-body quantum states in the presence of decoherence, where its direct evaluation requires the full spectral resolution of the density matrix. We show that, for…

量子物理 · 物理学 2026-05-25 Francesco Musso , Vittorio Vitale , Sara Murciano

Minimum-variance estimators for the parameter fnl that quantifies local-model non-Gaussianity can be constructed from the cosmic microwave background (CMB) bispectrum (three-point function) and also from the trispectrum (four-point…

宇宙学与河外天体物理 · 物理学 2011-02-03 Marc Kamionkowski , Tristan L. Smith , Alan Heavens

Quantum state estimation is a fundamental task in quantum information theory, where one estimates real parameters continuously embedded in a family of quantum states. In the theory of quantum state estimation, the widely used Cram\'er Rao…

量子物理 · 物理学 2025-07-23 Masahito Hayashi , Yingkai Ouyang

Owing to the mass-sheet degeneracy, cosmic shear maps do not probe directly the Fourier modes of the underlying mass distribution on scales comparable to the survey size and larger. To assess the corresponding effect on attainable…

宇宙学与河外天体物理 · 物理学 2015-06-22 Julien Carron , István Szapudi

This work unifies the equilibrium and non-equilibrium frameworks of quantum metrology within the context of many-body systems. We investigate dynamic sensing schemes to derive an upper bound on the quantum Fisher information for probe…

量子物理 · 物理学 2025-12-03 Rui Zhang , Yang Yang , Wenkui Ding , Xiaoguang Wang

We develop a quantum metrological framework for resonant nanophotonic sensors based on subwavelength Fabry--Perot slit cavities. Building on classical Fisher-information analyses of resonant transmission sensors, we model parameter encoding…

量子物理 · 物理学 2025-12-18 J. Sumaya-Martinez

Many protocols require precise rotation measurement. Here we present a general class of states that surpass the shot noise limit for measuring rotation around arbitrary axes. We then derive a quantum Cram\'er-Rao bound for simultaneously…

量子物理 · 物理学 2019-03-20 Aaron Z. Goldberg , Daniel F. V. James

We derive upper bounds on the quantum Fisher information in interferometry with $N$ subsystems, e.g. two-level atoms or Gaussian modes, in the presence of arbitrarily correlated Gaussian dephasing including independent and collective…

量子物理 · 物理学 2014-03-06 Katarzyna Macieszczak

Vacuum energy density and stresses are investigated for a scalar field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions and in anti-de Sitter spacetime with two parallel branes. On the branes the…

高能物理 - 理论 · 物理学 2012-10-01 A. A. Saharian

Biphoton frequency comb (BFC), which encompasses multiple discrete frequency modes and represents high-dimensional frequency entanglement, is crucial in quantum information processing due to its high information capacity and error…

量子物理 · 物理学 2025-07-30 Baihong Li , Qi-qi Li , Boxin Yuan , Ruifang Dong , Shougang Zhang , Rui-Bo Jin

Local information objectivity, that local, independent observers can infer the same information about a model upon exchange of independently acquired experimental data, is fundamental to science. It is mathematically encoded via Cencov's…

广义相对论与量子宇宙学 · 物理学 2026-05-19 Per Berglund , Andrew Geraci , Tristan Hubsch , David Mattingly , Djordje Minic

In the present study, time evolution of quantum Cramer-Rao bound of entangled N00N state, as phase sensitivity, is determined by the aid of quantum estimation theory in the presence decoherence channels. Also, the dynamic quantum process as…

量子物理 · 物理学 2015-06-23 Farzam Nosraty