# State preparation and evolution in quantum computing: A perspective from Hamiltonian moments

@article{Aulicino2021StatePA, title={State preparation and evolution in quantum computing: A perspective from Hamiltonian moments}, author={Joseph C. Aulicino and Trevor Keen and Bo Peng}, journal={International Journal of Quantum Chemistry}, year={2021} }

Hamiltonian moments Joseph C. Aulicino, Trevor Keen, and Bo Peng a) Pritzker Molecular Engineering, University of Chicago, 5640 S Ellis Ave, Chicago, IL 60637, United States of America Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 377996, United States of America Physical Sciences and Computational Division, Pacific Northwest National Laboratory, Richland, WA 99354, United States of America

## 3 Citations

Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer

- Physics
- 2021

Kazuhiro Seki1 and Seiji Yunoki1, 2, 3, 4 1Quantum Computational Science Research Team, RIKEN Center for Quantum Computing (RQC), Saitama 351-0198, Japan 2Computational Quantum Matter Research Team,…

Calculation of generating function in many-body systems with quantum computers: technical challenges and use in hybrid quantum-classical methods

- Physics
- 2021

The generating function of a Hamiltonian H is defined as F (t) = 〈e−itH〉, where t is the time and where the expectation value is taken on a given initial quantum state. This function gives access to…

Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers

- Physics
- 2021

We explore the possibility to perform symmetry restoration with the variation after projection technique on a quantum computer followed by additional post-processing. The final goal is to develop…

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