Few-Body Precursors of Topological Frustration
Abstract
:1. Introduction
2. The XY Model and Its Topological Frustration
2.1. Model
2.1.1. Ferromagnetic Case
2.1.2. Antiferromagnetic Case
2.2. Generalities about the Ground State
3. Finite Size Effects
3.1.
3.2. Ferromagnetic
3.3. Antiferromagnetic
4. Implementation on the Quantum Computer
4.1. Variational Quantum Eigensolver
- An ansatz wavefunction is prepared on a quantum computer through a parametric quantum circuit;
- The energy for the given ansatz is evaluated ;
- The set of parameters specifying the state, here generically indicated with , is updated in order to minimize the energy through a classical optimization routine.
4.2. Ideal Simulations and Results
4.3. Superconducting Quantum Device Results
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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De Filippi, F.R.; Mello, A.F.; Sacco Shaikh, D.; Sassetti, M.; Traverso Ziani, N.; Grossi, M. Few-Body Precursors of Topological Frustration. Symmetry 2024, 16, 1078. https://doi.org/10.3390/sym16081078
De Filippi FR, Mello AF, Sacco Shaikh D, Sassetti M, Traverso Ziani N, Grossi M. Few-Body Precursors of Topological Frustration. Symmetry. 2024; 16(8):1078. https://doi.org/10.3390/sym16081078
Chicago/Turabian StyleDe Filippi, Federico Raffaele, Antonio Francesco Mello, Daniel Sacco Shaikh, Maura Sassetti, Niccolò Traverso Ziani, and Michele Grossi. 2024. "Few-Body Precursors of Topological Frustration" Symmetry 16, no. 8: 1078. https://doi.org/10.3390/sym16081078