Simulating nonlinear spin models in an ion trap

Abstract

We show how a conditional displacement of the vibrational mode of trapped ions can be used to simulate nonlinear collective and interacting spin systems including nonlinear tops and Ising models (a universal two qubit gate), independent of the vibrational state of the ion. Thus cooling to the vibrational ground state is unnecessary provided the heating rate is not too large.

4 pages

References in corpus (1)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions

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