Individual Simulations

Zhang Tong, GU Qing-liang

Coopetition is important in economic and management field.To analyze the coopetition behavior structure and evolution mechanism,this paper constructed the individual coopetition quantum state and the quantum coopetition model,analyzed the coopetition quantum entanglement evolution. Based on the quantum coopetition model,theoretical analysis and computer simulation experiment were implemented and the results show that individual cooperation relation can be kept stable with rational individuals.

Stefan Hillmich, Robert Wille

Craig Hogle

Current classical computing methods are unable to simulate quantum many-body interactions efficiently.Analog quantum simulators with even small numbers of quantum degrees of freedom are expected to enable the investigation of systems not fully accessible in traditional computing such as condensed-matter systems, quantum chemistry, and material science.Two-dimensional lattices of trapped ions are a good candidate to realize an analog quantum simulator for their addressability, individual control and individual detection.Here, we report on multiple unique lattice surface ion trap designs, microfabricated at Sandia National Laboratories, capable of trapping and interacting up to 4 ions.Ions are held in close proximity in individual all radio-frequency potential minima and interact via their Coulomb repulsion.The Coulomb coupling between ions allows for simulation of spin-spin interactions 1-6 .Control electrodes of the trap can be used to adjust principal axes of the ion's motion and thus enable individual control over the interaction between ions.The lattice trap array architecture tested in this work can be scaled to larger two-dimensional lattices of trapped ions.

Scott Kirkpatrick

Melinda Hagedorn

M. Johanning, A. Braun, Vladimir Elman +2 more

Recently it has been shown that the simulation of one quantum system by means of observing the dynamics of another suitably tailored quantum system can be experimentally far less demanding than universal quantum computation. A system of pair-wise coupled spins described by a Heisenberg model, or a variant thereof, is particularly useful for quantum simulations that in turn are relevant, for instance, for condensed matter physics. We work on the implementation of a pseudo-spin many-body system that will serve as a well controlled prototype system and will allow for the exploration of quantum simulations: in a particular type of ion trap individual atomic ions interact via an adjustable pseudo-spin-spin coupling and, in addition, each spin is individually accessible, thus providing us with an "ion spin molecule". An important milestone towards realizing such ion spin molecules is the individual addressing of a particular spin employing a spatially varying magnetic field. We demonstrate for the first time individual addressing of ions using radio frequency radiation. Yb+ions are confined in a linear Paul trap and laser cooled such that they form a linear Coulomb crystal. Then, an RF-optical double resonance experiment is performed.