* FíSICA NUCLEAR * Webseminar

Hola a Todos,

les copio info para el siguiente seminario de los martes.

saludos

Rolo

______________________

Please join us for our next Rising Researchers seminar Tomorrow (November 7th) at 10:30 AM Pacific Time by Andres Ruiz --- IBM Quantum France.

 

The seminar is fully virtual. Please find the Zoom link below.

 

Title: Symmetry breaking and restoration for many-body problems treated on quantum computers

 

Abstract: 

The Symmetry-Breaking/Symmetry-Restoration methodology provides a valuable tool in many-body physics, enabling an enhanced approximation of a Hamiltonian's ground state energy within a variational framework, particularly in systems undergoing a Spontaneous Symmetry Breaking quantum phase transition. In this talk, I will demonstrate the implementation of this methodology within the quantum computing framework, utilizing the Variational Quantum Eigensolver (VQE) for the variational component alongside an ansatz inspired by the Bardeen-Cooper-Schrieffer (BCS) theory. Through the application of a projective technique for symmetry restoration, I will introduce two schemes analogous to their classical counterparts: the Quantum Projection After Variation (Q-PAV) and the Quantum Variation After Projection (Q-VAP). Various projective techniques will be explored, some based on Quantum Phase Estimation algorithms, others on the quantum "Oracle" concept, and another leveraging the Classical Shadows technique. The study employs two model Hamiltonians: the pairing and Hubbard Hamiltonians. Additionally, I will present hybrid quantum-classical methods, such as the t-expansion and Krylov methods, which serve to either enhance the accuracy of the ground state energy or procure information about the low-lying Hamiltonian spectrum. 

 

Zoom link:

https://us06web.zoom.us/j/85077701870

 

Sincerely,

Rising Researchers Seminar Series Committee