Local, expressive, quantum-number-preserving VQE ansätze for fermionic systems

• Published in: New journal of physics Vol. 23; no. 11; pp. 113010 - 113039
• Main Authors: Anselmetti, Gian-Luca R, Wierichs, David, Gogolin, Christian, Parrish, Robert M
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.11.2021
• Subjects: Algorithms; Circuits; Connectivity; Electron spin; entangler circuits; Gates (circuits); Parameters; particle symmetries; Physics; Quantum numbers; Qubits (quantum computing); variational quantum eigensolver

We propose VQE circuit fabrics with advantageous properties for the simulation of strongly correlated ground and excited states of molecules and materials under the Jordan–Wigner mapping that can be implemented linearly locally and preserve all relevant quantum numbers: the number of spin up ( α ) a...