Projective Cooling for the transverse Ising model

Abstract

We demonstrate the feasibility of ground state preparation for the transverse Ising model using projective cooling, and show that the algorithm can effectively construct the ground state in the disordered (paramagnetic) phase. On the other hand, significant temperature effects are encountered in the ordered (ferromagnetic) phase requiring larger lattices to accurately simulate.

5 pages, 6 figures

References in corpus (4)

• Quantum Computing for Neutrino-nucleus Scattering
• Nonlinear Aspects of the Renormalization Group Flows of Dyson's Hierarchical Model
• Projected Cooling Algorithm for Quantum Computation
• Quantum Simulation of Field Theories Without State Preparation

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• Nearly optimal quantum algorithm for generating the ground state of a free quantum field theory
• Boltzmann Distributions on a Quantum Computer via Active Cooling
• Quantum techniques for eigenvalue problems
• Metropolis-style random sampling of quantum gates for the estimation of low-energy observables