Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
Abstract
In conclusion, we have used local adiabatic ramps to prepare ground states with high probability in a trapped ion adiabatic quantum simulator, as well as identify ground states in a system of up to 14 fully-connected spins. Local adiabatic ramps are found to maximize the ground state population compared with other adiabatic methods and require knowledge of only the lowest ~ N energy eigenvalues of the Hamiltonian under study. As N grows large and even the lowest eigenvalues are difficult to calculate, we have demonstrated that a simple, approximated local adiabatic ramp can still be used to improve the ground state preparation. We have additionally described a technique to determine the ground state spin ordering even when ramps are severely non-adiabatic, and have experimentally found the correct ground state in an N = 14 frustrated AFM spin system. The technique should scale in principle to N = 30 spins and beyond, where finding the ground states of complicated many-body spin systems becomes classically intractable.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 31, 2013
- Accession Number
- AD1051232
Entities
People
- Albert Lee
- C. Monroe
- C. Senko
- J. Cole Smith
- Philip Richerme
- S. Korenblit
Organizations
- Joint Quantum Institute