Abstract
The DiVincenzo criteria, a list of necessities for the construction of a quantum computer is summarized herein. In reviewing the physics underpinning the trapped ion qubit paradigm, I introduce a rotor model for atoms/ions and demonstrate how single qubit gates, such as the phase and Hadamard gates, are realized in this framework. We use the latter to illustrate how ions respond to laser radiation, the mechanism by which ion qubits are addressed. We show how the Cirac-Zoller mechanism, and its generalization, enables the realization of two-qubit control gates. I provide a survey of trapped ion qubit systems, including optical and hyperfine qubit systems.
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Notes
- 1.
More precisely, we require ψ(0) = ψ(2πp) where p is an integer.
- 2.
In the original Cirac-Zoller protocol [3], the CM motion is the medium that negotiates ion-ion interactions.
- 3.
For the sake of simplicity, we assume coupling to only a single vibrational mode.
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Zygelman, B. (2018). Quantum Hardware I: Ion Trap Qubits. In: A First Introduction to Quantum Computing and Information. Springer, Cham. https://doi.org/10.1007/978-3-319-91629-3_7
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DOI: https://doi.org/10.1007/978-3-319-91629-3_7
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