Title
Adiabatic quantum optimization with qudits
Abstract
Most realistic solid state devices considered as qubits are not true two-state systems. If the energy separation of the upper energy levels from the lowest two levels is not large, then these upper states may affect the evolution of the ground state over time and therefore cannot be neglected. In this work, we study the effect of energy levels beyond the lowest two energy levels on adiabatic quantum optimization in a device with a double-well potential as the basic logical element. We show that the extra levels can be modeled by adding additional ancilla qubits coupled to the original logical qubits, and that the presence of upper levels has no effect on the final ground state. We also study the influence of upper energy levels on the minimum gap for a set of 8-qubit spin glass instances.
Year
DOI
Venue
2013
10.1007/s11128-012-0480-x
Quantum Information Processing
Keywords
Field
DocType
Adiabatic quantum optimization,Quantum annealing,Quantum computing
Adiabatic quantum computation,Ground state,Quantum electrodynamics,W state,Quantum mechanics,Quantum computer,Quantum annealing,Cluster state,Superconducting quantum computing,Quantum error correction,Physics
Journal
Volume
Issue
ISSN
12
4
1570-0755
Citations 
PageRank 
References 
3
0.50
1
Authors
3
Name
Order
Citations
PageRank
Mohammad H. Amin1121.82
Neil Dickson2636.72
Peter Smith330.50