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Under suitable assumptions, the quantum phase estimation (QPE) algorithm is able to achieve Heisenberg-limited precision scaling in estimating the ground state energy. However, QPE requires a large number of ancilla qubits and large circuit…

量子物理 · 物理学 2022-02-04 Lin Lin , Yu Tong

We have carried out quantum Monte Carlo (QMC) calculations of silicon crystal focusing on the accuracy and systematic biases that affect the electronic structure characteristics. The results show that 64 and 216 atom supercells provide an…

We describe and discuss a recently proposed quantum Monte Carlo algorithm to compute the ground-state properties of various systems of interacting fermions. In this method, the ground state is projected from an initial wave function by a…

凝聚态物理 · 物理学 2009-10-28 Shiwei Zhang , J. Carlson , J. E. Gubernatis

We present a quasiparticle self-consistent $GW$ (QSGW) implementation for periodic systems based on crystalline Gaussian basis sets. Our QSGW approach is based on a full-frequency analytic continuation GW scheme with Brillouin zone sampling…

化学物理 · 物理学 2022-12-21 Jincheng Lei , Tianyu Zhu

Electronic ground states are of central importance in chemical simulations, but have remained beyond the reach of efficient classical algorithms except in cases of weak electron correlation or one-dimensional spatial geometry. We introduce…

量子物理 · 物理学 2026-02-06 Oskar Leimkuhler , K. Birgitta Whaley

An accurate calculation of the exciton ground and excited states in AlGaAs and InGaAs coupled quantum wells (CQWs) in an external electric field is presented. An efficient and straightforward algorithm of solving the Schrodinger equation in…

其他凝聚态物理 · 物理学 2012-05-15 K. Sivalertporn , L. Mouchliadis , A. L. Ivanov , R. Philp , E. A. Muljarov

We present the formalism and implementation of quasi-particle self-consistent GW (qsGW) and eigenvalue only quasi-particle self-consistent GW (evGW) adapted to standard quantum chemistry packages. Our implementation is benchmarked against…

化学物理 · 物理学 2024-04-10 F. Kaplan , M. E. Harding , C. Seiler , F. Weigend , F. Evers , M. J. van Setten

This paper describes an all-electron implementation of the self-consistent GW (sc-GW) approach -- i.e. based on the solution of the Dyson equation -- in an all-electron numeric atom-centered orbital (NAO) basis set. We cast Hedin's…

材料科学 · 物理学 2013-08-12 Fabio Caruso , Patrick Rinke , Xinguo Ren , Angel Rubio , Matthias Scheffler

We study the effect of semicore states on the self-energy corrections and electronic energy gaps of silicon, germanium and GaAs. Self-energy effects are computed within the GW approach, and electronic states are expanded in a plane-wave…

材料科学 · 物理学 2009-11-10 Murilo L. Tiago , Sohrab Ismail-Beigi , Steven G. Louie

Estimating the ground-state energy of a quantum system is one of the most promising applications for quantum algorithms. Here we propose a variational quantum eigensolver (VQE) \emph{Ansatz} for finding ground state configuration…

量子物理 · 物理学 2026-02-10 Koray Aydoğan , Anna R. Spak , Kade Head-Marsden , Anthony W. Schlimgen

We have developed a new type of self-consistent scheme within the $GW$ approximation, which we call quasiparticle self-consistent $GW$ (QS$GW$). We have shown that QS$GW$ rather well describes energy bands for a wide-range of materials,…

材料科学 · 物理学 2007-10-05 Takao Kotani , Mark van Schilfgaarde , Sergey V. Faleev

We have developed the quasiparticle self-consistent GW (QSGW) method based on a recently developed mixed basis all-electron full-potential method (the PMT method), which uses the augmented plane waves (APWs) and the highly localized…

材料科学 · 物理学 2014-08-18 Takao Kotani

The study of ground state energies of local Hamiltonians has played a fundamental role in quantum complexity theory. In this paper, we take a new direction by introducing the physically motivated notion of "ground state connectivity" of…

量子物理 · 物理学 2019-01-08 Sevag Gharibian , Jamie Sikora

The Schrodinger equation for a particle moving in a square well potential with BenDaniel - Duke boundary conditions is solved. Using algebraic approximations for trigonometric functions, the transcendental equations of the bound states…

介观与纳米尺度物理 · 物理学 2016-12-21 Victor Barsan , Mihaela-Cristina Ciornei

Quantum computing has emerged as a promising technology for solving problems that are intractable for classical computers. In this study, we introduce quantum computing and implement the Variational Quantum Eigensolver (VQE) algorithm using…

量子物理 · 物理学 2023-05-12 Maomin Qing , Wei Xie

Under suitable assumptions, the algorithms in [Lin, Tong, Quantum 2020] can estimate the ground state energy and prepare the ground state of a quantum Hamiltonian with near-optimal query complexities. However, this is based on a block…

量子物理 · 物理学 2022-10-19 Yulong Dong , Lin Lin , Yu Tong

Computing many-body ground state energies and resolving electronic structure calculations are fundamental problems for fields such as quantum chemistry or condensed matter. Several quantum computing algorithms that address these problems…

量子物理 · 物理学 2023-01-12 Karen J. Morenz Korol , Kenny Choo , Antonio Mezzacapo

Understanding the entanglement structure of local Hamiltonian ground spaces is a physically motivated problem, with applications ranging from tensor network design to quantum error-correcting codes. To this end, we study the complexity of…

量子物理 · 物理学 2026-05-29 Sevag Gharibian , Jonas Kamminga

Ground State Energy Estimation (GSEE) is a central problem in quantum chemistry and condensed matter physics, demanding efficient algorithms to solve complex electronic structure calculations. This work introduces a structured benchmarking…

Computing electronic structures of quantum systems is a key task underpinning many applications in photonics, solid-state physics, and quantum technologies. This task is typically performed through iterative algorithms to find the energy…

量子物理 · 物理学 2026-02-03 Shaobo Zhang , Akib Karim , Harry M. Quiney , Muhammad Usman