Zobrazeno 1 - 10
of 18 664
pro vyhledávání: '"Ground-state energies"'
We implement the Multi-Reference Unitary Coupled Cluster Singles and Doubles (MR-UCCSD) model with a quantum circuit that conserves the particle number to study the ground state energies of LiH, BeH$_2$, and H$_6$. This approach simplifies the MR-UCC
Externí odkaz:
http://arxiv.org/abs/2408.16523
Estimating the ground-state energy of Hamiltonians is a fundamental task for which it is believed that quantum computers can be helpful. Several approaches have been proposed toward this goal, including algorithms based on quantum phase estimation an
Externí odkaz:
http://arxiv.org/abs/2410.12935
Autor:
Sorourifar, Farshud, Rouabah, Mohamed Taha, Belaloui, Nacer Eddine, Louamri, Mohamed Messaoud, Chamaki, Diana, Gustafson, Erik J., Tubman, Norm M., Paulson, Joel A., Neira, David E. Bernal
Variational Quantum Eigensolvers (VQEs) represent a promising approach to computing molecular ground states and energies on modern quantum computers. These approaches use a classical computer to optimize the parameters of a trial wave function, while
Externí odkaz:
http://arxiv.org/abs/2407.07963
Publikováno v:
Pure Appl. Analysis 6 (2024) 955-976
We study the infimum of the spectrum, or ground state energy (g.s.e.), of a discrete Schr\"odinger operator on $\theta\mathbb{Z}^d$ parameterized by a potential $V:\mathbb{R}^d\rightarrow\mathbb{R}_{\ge 0}$ and a frequency parameter $\theta\in (0,1)$
Externí odkaz:
http://arxiv.org/abs/2405.05907
Solving electronic structure problems is considered one of the most promising applications of quantum computing. However, due to limitations imposed by the coherence time of qubits in the Noisy Intermediate Scale Quantum (NISQ) era or the capabilitie
Externí odkaz:
http://arxiv.org/abs/2402.13960
Publikováno v:
Beni-Suef University Journal of Basic and Applied Sciences, Vol 13, Iss 1, Pp 1-12 (2024)
Abstract Background The variational method, a quantum mechanical approach, estimates effective charge distributions and ground-state energy by minimizing the Hamiltonian's expectation value using trial wave functions with adjustable parameters. This
Externí odkaz:
https://doaj.org/article/3f379f4738704a728efb9760d2cdc86f
Akademický článek
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Akademický článek
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Publikováno v:
Phys. Rev. X 14, 021008 (9 April 2024)
Given a renormalization scheme, we show how to formulate a tractable convex relaxation of the set of feasible local density matrices of a many-body quantum system. The relaxation is obtained by introducing a hierarchy of constraints between the reduc
Externí odkaz:
http://arxiv.org/abs/2212.03014
Publikováno v:
Rep. Math. Phys. 92, 227-241 (2023)
According to the `folk knowledge', the Hartree-Fock (H-F) approximation applied to the Hubbard model becomes exact in the limit of small coupling $U$ (the smaller $|U|$, the better is the H-F approximation). In \cite{BP} Bach and Poelchau have substa
Externí odkaz:
http://arxiv.org/abs/2209.02361