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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Quantum computation with trapped ions and the "heating problem"

Daniel F. V. James

Published Jul 13, 2000• 0 citations
Publisher

Abstract

We present a brief review of the current state of the art of quantum computation with trapped ions, with particular emphasis on the problems caused by `heating' of the ions' motional degrees of freedom.
DOI
10.1117/12.391955

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Over the last few decades, quantum chemistry has progressed through the development of computational methods based on modern digital computers. However, these methods can hardly fulfill the exponentially-growing resource requirements when applied to large quantum systems. As pointed out by Feynman, this restriction is intrinsic to all computational models based on classical physics. Recently, the rapid advancement of trapped-ion technologies has opened new possibilities for quantum control and quantum simulations. Here, we present an efficient toolkit that exploits both the internal and motional degrees of freedom of trapped ions for solving problems in quantum chemistry, including molecular electronic structure, molecular dynamics, and vibronic coupling. We focus on applications that go beyond the capacity of classical computers, but may be realizable on state-of-the-art trapped-ion systems. These results allow us to envision a new paradigm of quantum chemistry that shifts from the current transistor to a near-future trapped-ion-based technology.