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Although persistent excitation is often acknowledged as a sufficient condition to exponentially converge in the field of adaptive parameter estimation, it must be noted that in practical applications this may be unguaranteed. Recently, more…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Siyu Chen , Jing Na , Yingbo Huang

We present a quantum algorithm for efficiently sampling transformed Gaussian random fields on $d$-dimensional domains, based on an enhanced version of the classical moving average method. Pointwise transformations enforcing boundedness are…

Quantum Physics · Physics 2025-08-20 Matthias Deiml , Daniel Peterseim

The Gaussian expansion method (GEM) is extensively applied to the calculations in the random-phase approximation (RPA). We adopt the mass-independent basis-set that has been tested in the mean-field calculations. By comparing the RPA…

Nuclear Theory · Physics 2015-05-13 H. Nakada , K. Mizuyama , M. Yamagami , M. Matsuo

Quantum state tomography is an essential component of modern quantum technology. In application to continuous-variable harmonic-oscilator systems, such as the electromagnetic field, existing tomography methods typically reconstruct the…

Quantum Physics · Physics 2023-01-09 Ekaterina Fedotova , Nikolai Kuznetsov , Egor Tiunov , A. E. Ulanov , A. I. Lvovsky

Numerical simulation of continuous variable quantum state preparation is a necessary tool for optimization of existing quantum information processing protocols. A powerful instrument for such simulation is the numerical computation in the…

Quantum Physics · Physics 2022-10-10 Jan Provazník , Radim Filip , Petr Marek

An implementation of the fast multiple method (FMM) is performed for magnetic systems with long-ranged dipolar interactions. Expansion in spherical harmonics of the original FMM is replaced by expansion of polynomials in Cartesian…

Computational Physics · Physics 2015-05-13 Wen Zhang , Stephan Haas

An approach to pairing in finite nuclei at nonzero temperature is proposed, which incorporates the effects due to the quasiparticle-number fluctuation (QNF) around Bardeen-Cooper-Schrieffer (BCS) mean field and dynamic coupling to…

Nuclear Theory · Physics 2008-11-26 N. Dinh Dang , N. Quang Hung

We propose a method for Monte Carlo simulations of systems with a complex action. The method has the advantages of being in principle applicable to any such system and provides a solution to the overlap problem. We apply it in random matrix…

High Energy Physics - Lattice · Physics 2017-08-23 Jan Ambjorn , Konstantinos N. Anagnostopoulos , Jun Nishimura , Jacobus J. M. Verbaarschot

Limitations of the Quasiparticle Random Phase Approximation (QRPA) are studied within an exactly solvable model, with a two body interaction of Fermi type. A special attention is paid to the violation of the Pauli exclusion principle (PEP)…

Nuclear Theory · Physics 2009-02-18 F. Simkovic , A. Raduta , M. Veselsky , Amand Faessler

Due to their capacity for non-classical light generation, high-efficiency second-order nonlinear parametric processes play an important role in quantum photonic technology, and chip-scale realization of these processes is recognized as the…

We formulate a many-body theory to calculate the cross section of direct radiative neutron capture reaction by means of the Hartree-Fock-Bogoliubov mean-field model and the continuum quasiparticle random phase approximation (QRPA). A focus…

Nuclear Theory · Physics 2015-06-23 Masayuki Matsuo

We propose and analyze an approximate message passing (AMP) algorithm for the matrix tensor product model, which is a generalization of the standard spiked matrix models that allows for multiple types of pairwise observations over a…

Machine Learning · Statistics 2023-06-28 Riccardo Rossetti , Galen Reeves

We address the problem of estimating the phase phi given N copies of the phase rotation u(phi) within an array of quantum operations in finite dimensions. We first consider the special case where the array consists of an arbitrary input…

Quantum Physics · Physics 2009-11-13 Wim van Dam , G. Mauro D'Ariano , Artur Ekert , Chiara Macchiavello , Michele Mosca

Many quantum algorithms can be seen as a transition from a well-defined initial quantum state of a complex quantum system, to an unknown target quantum state, corresponding to a certain eigenvalue either of the Hamiltonian or of a…

Quantum Physics · Physics 2022-07-19 Aikaterini Mandilara , Daniil Fedotov , Vladimir M. Akulin

The accuracy of calculations of atomic Rydberg excitations cannot be judged by the usual measures, such as mean unsigned errors of many transitions. We show how to use quantum defect theory to (a) separate errors due to approximate…

Chemical Physics · Physics 2016-05-04 Yang Yang , Kieron Burke , Weitao Yang

In this article we present an algorithm to efficiently evaluate the exchange matrix in periodic systems when Gaussian basis set with pseudopotentials are used. The usual algorithm for evaluating exchange matrix scales cubically with the…

Strongly Correlated Electrons · Physics 2022-11-11 Sandeep Sharma , Alec F. White , Gregory Beylkin

We describe progress applying the \textit{Worldline Formalism} of quantum field theory to the fermion propagator dressed by $N$-photons to study multi-linear Compton scattering processes, explaining how this approach -- whose calculational…

Charge and energy transfer in biological and synthetic organic materials are strongly influenced by the coupling of electronic states to high-frequency underdamped vibrations under dephasing noise. Non-perturbative simulations of these…

Quantum Physics · Physics 2019-09-05 Alejandro D. Somoza , Oliver Marty , James Lim , Susana F. Huelga , Martin B. Plenio

We propose a new method for simulating QCD at finite density. The method is based on a general factorization property of distribution functions of observables, and it is therefore applicable to any system with a complex action. The…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

The accuracy of the Faddeev random phase approximation (FRPA) method is tested by calculating the total and ionization energies of a set of light atoms up to Ar. Comparisons are made with the results of coupled-cluster singles and doubles…

Chemical Physics · Physics 2015-05-18 C. Barbieri , D. Van Neck , M. Degroote
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