Tolerable Experimental Imperfections for a Quadrupole Blade Ion Trap and Practical Qudit Gates with Trapped Ions
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Date
2019-09-26
Authors
Low, Pei Jiang
Journal Title
Journal ISSN
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Publisher
University of Waterloo
Abstract
Trapped ions are one of the leading technologies in quantum information technology
due to their long coherence time and low noise presence. For trapping ions, there are a
plethora of ion trap architectures. Among them is a quadrupole blade trap design, which
has the benefit of large optical access from all axes. It has also been shown to be able to
trap up to 100 ions. This thesis gives a first detailed analysis of tolerable experimental im-
perfections of a quadrupole blade trap design from calculations and numerical simulations.
In this work, it is found that the critical imperfections are electrical trans-phase shift and
axially-asymmetric geometric misalignment. The second part of this thesis presents qudit-
based quantum gates for trapped ions. A qudit encodes multiple quantum states within
an elementary unit of quantum information. The denser encoding allows access to a larger
Hilbert space, which enables more efficient quantum algorithms and use of quantum re-
source. However, in terms of practical realization of qudits, the additional complexities
involved with manipulating multiple states within a single elementary unit may compro-
mise fidelity of quantum operations. In this thesis, quantum gates generalized to qudits
and the protocols to implement them on trapped barium-137 ions are presented. Numerical
simulations and calculations are performed to obtain the fidelity of each qudit gate to as-
sess the practicality of realizing trapped ion qudit gates. From this work, it is found that
single qudit gates can easily achieve better than 99.25% fidelity. The 3-level qudit entangling
gate can achieve at least 99.10% fidelity.
Description
Keywords
fidelity, ion, trap, quantum, information, error, imperfection, simulation