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In this work we investigate a binned version of Quantum Phase Estimation (QPE) set out by [Somma 2019] and known as the Quantum Eigenvalue Estimation Problem (QEEP). Specifically, we determine whether the circuit decomposition techniques we…

量子物理 · 物理学 2021-10-27 Laura Clinton , Johannes Bausch , Joel Klassen , Toby Cubitt

Physics-informed neural networks (PINNs) have emerged as powerful tools for solving a wide range of partial differential equations (PDEs). However, despite their user-friendly interface and broad applicability, PINNs encounter challenges in…

数值分析 · 数学 2024-05-07 Zhengqi Zhang , Jing Li , Bin Liu

Quantum Diamond Microscope (QDM) magnetic field imaging is an emerging interrogation and diagnostic technique for integrated circuits (ICs). To date, the ICs measured with a QDM were either too complex for us to predict the expected…

Optimal experimental design (OED) concerns itself with identifying ideal methods of data collection, e.g.~via sensor placement. The \emph{greedy algorithm}, that is, placing one sensor at a time, in an iteratively optimal manner, stands as…

最优化与控制 · 数学 2025-10-15 Christian Aarset

We show that continuous quantum nondemolition (QND) measurement of an atomic ensemble is able to improve the precision of frequency estimation even in the presence of independent dephasing acting on each atom. We numerically simulate the…

量子物理 · 物理学 2020-11-13 Matteo A. C. Rossi , Francesco Albarelli , Dario Tamascelli , Marco G. Genoni

We report a metrology scheme which measures magnetic susceptibility of an atomic spin ensemble along the $x$ and $z$ direction and produces parameter estimation with precision beating the standard quantum limit. The atomic ensemble is…

量子物理 · 物理学 2023-02-14 Zheng-An Wang , Yi Peng , Dapeng Yu , Heng Fan

We provide a modification to the quantum phase estimation algorithm (QPEA) inspired on classical windowing methods for spectral density estimation. From this modification we obtain an upper bound in the cost that implies a cubic improvement…

量子物理 · 物理学 2022-08-31 Gumaro Rendon , Taku Izubuchi , Yuta Kikuchi

Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum…

量子物理 · 物理学 2020-08-11 F. Martínez-García , D. Vodola , M. Müller

Non-orthogonal multiple access (NOMA) technique has sparked a growing research interest due to its ability to enhance the overall spectral efficiency of wireless systems. In this paper, we investigate the pairwise error probability (PEP)…

信号处理 · 电气工程与系统科学 2018-04-12 Lina Bariah , Arafat Al-Dweik , Sami Muhaidat

We demonstrate that the problem of amplitude estimation, a core subroutine used in many quantum algorithms, can be mapped directly to a problem in signal processing called direction of arrival (DOA) estimation. The DOA task is to determine…

量子物理 · 物理学 2025-05-12 Farrokh Labib , B. David Clader , Nikitas Stamatopoulos , William J. Zeng

Multi-symplectic diamond schemes proposed by McLachlan and Wilkins (2015) provide a framework for the numerical integration of Hamiltonian partial differential equations, combining local implicitness with high-order accuracy and discrete…

数值分析 · 数学 2026-03-31 Kaito Sato , Shun Sato , Takayasu Matsuo

Present protocols for obtaining the ultimate magnetic sensitivity of optically pumped magnetometers (OPMs) utilizing alkali-metal ensembles rely on uncorrelated atoms in stretched states. A new approach for calculating the spin projection…

量子物理 · 物理学 2024-02-23 K. Mouloudakis , V. Koutrouli , I. K. Kominis , M. W. Mitchell , G. Vasilakis

Nuclear magnetic resonance spectroscopy with solid-state spin sensors is a promising pathway for the detection of nuclear spins at the micro- and nanoscale. Although many nanoscale experiments rely on a single sensor spin for the detection…

We investigate the simultaneous estimation of the intensity and the orientation of a magnetic field by the multi-parameter quantum Fisher information matrix. A general expression is achieved for the simultaneous estimation precision of the…

量子物理 · 物理学 2019-08-13 Dong Xie , Chunling Xu

Diamond quantum thermometry exploits the optical and electrical spin properties of colour defect centres in diamonds and, acts as a quantum sensing method exhibiting ultrahigh precision and robustness. Compared to the existing luminescent…

介观与纳米尺度物理 · 物理学 2021-09-10 Masazumi Fujiwara , Yutaka Shikano

Quantum parameter estimation has many applications, from gravitational wave detection to quantum key distribution. We present the first experimental demonstration of the time-symmetric technique of quantum smoothing. We consider both…

We use spin torque ferromagnetic resonance to measure the spectral properties of dipole-exchange spin waves in permalloy nanowires. Our measurements reveal that geometric confinement has a profound effect on the damping of spin waves in the…

介观与纳米尺度物理 · 物理学 2013-05-29 Carl Boone , Jordan Katine , Jeff Childress , Vasil Tiberkevich , Andrei Slavin , Jian Zhu , Xiao Cheng , Ilya Krivorotov

We provide a new efficient adaptive algorithm for performing phase estimation that does not require that the user infer the bits of the eigenphase in reverse order; rather it directly infers the phase and estimates the uncertainty in the…

量子物理 · 物理学 2016-07-06 Nathan Wiebe , Christopher E Granade

Phase estimation with potentially large phase values, i.e., with large dynamic range, has many applications in quantum metrology, for example to atomic clocks. A recently proposed phase estimation scheme approaches the Heisenberg scaling in…

量子物理 · 物理学 2026-03-17 Tyler G. Thurtell , Akimasa Miyake

We present a thermal and quantum-mechanical treatment of nuclear rotation using the formalism of static path approximation (SPA) plus random-phase approximation (RPA). Naive perturbation theory fails because of the presence of…

核理论 · 物理学 2008-11-26 K. Kaneko , A. Schiller
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