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Bottom-up quantum simulators have been developed to quantify the role of various interactions, dimensionality, and structure in creating electronic states of matter. Here, we demonstrated a solid-state quantum simulator emulating molecular…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 E. Sierda , X. Huang , D. I. Badrtdinov , B. Kiraly , E. J. Knol , G. C. Groenenboom , M. I. Katsnelson , M. Rösner , D. Wegner , A. A. Khajetoorians

Hybrid quantum-classical embedding methods for correlated materials simulations provide a path towards potential quantum advantage. However, the required quantum resources arising from the multi-band nature of $d$ and $f$ electron materials…

Quantum Physics · Physics 2023-01-09 Anirban Mukherjee , Noah F. Berthusen , João C. Getelina , Peter P. Orth , Yong-Xin Yao

Calculating the observable properties of chemical systems is often classically intractable and is widely viewed as a promising application of quantum information processing. Yet one of the most common and important chemical systems in…

Due to the wide range of technical applications of actinide elements, a thorough understanding of their electronic structure could complement technological improvements in many different areas. Quantum computing could greatly aid in this…

We investigate superconformal quantum mechanics (SCQM) on a quantum computer. We study the ground state of the mass deformed SCQM on a quantum computed using the Variational Quantum Eigensolver (VQE) using a one boson and one boson - one…

Quantum Physics · Physics 2022-02-22 Yuan Feng , Michael McGuigan , Tristen White

Advances in quantum computation for electronic structure, and particularly heuristic quantum algorithms, create an ongoing need to characterize the performance and limitations of these methods. Here we discuss some potential pitfalls…

Quantum Physics · Physics 2023-08-08 Ruhee D'Cunha , T. Daniel Crawford , Mario Motta , Julia E. Rice

The Coupled Cluster (CC) method is used to compute the electronic correlation energy in atoms and molecules and often leads to highly accurate results. However, due to its single-reference nature, standard CC in its projected form fails to…

The calculation time for the energy of atoms and molecules scales exponentially with system size on a classical computer but polynomially using quantum algorithms. We demonstrate that such algorithms can be applied to problems of chemical…

Quantum Physics · Physics 2007-05-23 Alán Aspuru-Guzik , Anthony D. Dutoi , Peter J. Love , Martin Head-Gordon

The last decade has seen a large increase in the number of electronic-structure calculations that involve adding a Hubbard term to the local density approximation band-structure Hamiltonian. The Hubbard term is then solved either at the…

Strongly Correlated Electrons · Physics 2009-08-25 R. C. Albers , N. E. Christensen , A. Svane

Quantum-phase-estimation algorithms are critical subroutines in many applications for quantum computers and in quantum-metrology protocols. These algorithms estimate the unknown strength of a unitary evolution. By using coherence or…

Quantum Physics · Physics 2023-03-06 Joseph G. Smith , Crispin H. W. Barnes , David R. M. Arvidsson-Shukur

Protocols for quantum measurement are an essential part of quantum computing. Measurements are no longer confined to the final step of computation but are increasingly embedded within quantum circuits as integral components of…

Quantum Physics · Physics 2025-11-07 Michal Krejčí , Lucie Krejčí , Ijaz Ahamed Mohammad , Martin Plesch , Martin Friák

Graph-based linear scaling electronic structure theory for quantum-mechanical molecular dynamics simulations is adapted to the most recent shadow potential formulations of extended Lagrangian Born-Oppenheimer molecular dynamics, including…

Chemical Physics · Physics 2023-03-08 Christian F. A. Negre , Michael E. Wall , Anders M. N. Niklasson

Quantum chemical calculations (QCC) are computational techniques to analyze the characteristics of molecules. The variational quantum eigensolver (VQE) designed for noisy intermediate-scale quantum (NISQ) computers can be used to calculate…

Chemical Physics · Physics 2024-01-17 Satoshi Imamura , Akihiko Kasagi , Eiji Yoshida

This paper presents a quantum algorithm for efficiently computing partial sums and specific weighted partial sums of quantum state amplitudes. Computation of partial sums has important applications, including numerical integration,…

Quantum Physics · Physics 2025-07-15 Alok Shukla , Prakash Vedula

Quantum simulation of quantum chemistry is one of the most compelling applications of quantum computing. It is of particular importance in areas ranging from materials science, biochemistry and condensed matter physics. Here, we propose a…

Quantum Physics · Physics 2020-02-25 Shijie Wei , Hang Li , GuiLu Long

Quantum phase estimation (QPE) is a promising quantum algorithm for obtaining molecular ground-state energies with chemical accuracy. However, its computational cost, dominated by the Hamiltonian 1-norm $\lambda$ and the cost of the block…

With the emergence of quantum computers, a new field of algorithmic music composition has been initiated. The vast majority of previous work focuses on music generation using gate-based quantum computers. An alternative model of computation…

Quantum Physics · Physics 2022-01-27 Ashish Arya , Ludmila Botelho , Fabiola Cañete , Dhruvi Kapadia , Özlem Salehi

Reducing the complexity of quantum algorithms to treat quantum chemistry problems is essential to demonstrate an eventual quantum advantage of Noisy-Intermediate Scale Quantum (NISQ) devices over their classical counterpart. Significant…

Quantum Physics · Physics 2022-12-07 Emiel Koridon , Saad Yalouz , Bruno Senjean , Francesco Buda , Thomas E. O'Brien , Lucas Visscher

The Cryo-EM 3D particle reconstruction is essential for identifying protein and uncover the biological mechanism of the macro-molecules. In this paper, we use Kam method for reconstruction. Kam method is \textit{ab-initio}, and it assumes…

Quantitative Methods · Quantitative Biology 2019-06-21 Yin Xian

The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors. They underlie the Jones polynomial and arise in Witten-Chern-Simons…

Quantum Physics · Physics 2007-05-23 Michael H. Freedman , Alexei Kitaev , Michael J. Larsen , Zhenghan Wang
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