Crane, Eleanor;
(2021)
Quantum computation and simulation in silicon donors: from optically-controlled entangling gates to the Hubbard model.
Doctoral thesis (Ph.D), UCL (University College London).
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Abstract
Quantum computing holds the promise to solve classically intractable problems. While some beyond-classical computations have been demonstrated, a useful application has yet to be shown. The biggest challenge is to scale up the number of quantum bits and simultaneously increase the accuracy of elementary operations in order to enable correction of errors. Silicon-based implementations promise to enable compatibility with complementary metal–oxide–semiconductor technology and hence a rapid scaling up. For the main part, this thesis is focussed on one particular quantum computing implementation in which the qubit is represented by the spin of the electron of a phosphorous atom in a silicon lattice. This implementation holds the record for the longest coherence times, of the order of days. So far, scalability with such donor-based computers is challenging because of the requirement to precisely position donors in the silicon lattice in architectures currently proposed. In this thesis, two architectures which do not require precise placement of donors are presented: an implementation of a quantum computer in a completely randomly doped sample and a scheme based on the electric dipolar long-range interactions between donors using a translation of ideas from implementations with laser-cooled atoms. Furthermore, we discuss the simulation of quantum materials with dopant atom arrays, in particular making precise predictions for feasible small-scale proof of principle experiments. Lastly, a condensed matter model which is known to be a symmetry protected topological state is implemented into a quantum software library originally written for qubits which is being expanded for use in continuous-variable systems. Our results work towards enabling the implementation of large-scale quantum computation in silicon.
| Type: | Thesis (Doctoral) |
|---|---|
| Qualification: | Ph.D |
| Title: | Quantum computation and simulation in silicon donors: from optically-controlled entangling gates to the Hubbard model |
| Event: | UCL (University College London) |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | Copyright © The Author 2021. Original content in this thesis is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) Licence (https://creativecommons.org/licenses/by-nc/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. Access may initially be restricted at the author’s request. |
| Keywords: | Donors, Quantum, Quantum Computation, Quantum Simulation, Finite Element Method, Random Distributions, Random Doping, Silicon, Optical Control, Superconducting Qubits, Hubbard model, Circuit QED, Circuit Quantumelectrodynamics, AKLT State, Rydberg, Rydberg blockade, Entangling gate, Qubit, Quantum Computing, Donors in Silicon, Spin Qubit, Moving Average Cluster Expansion, Exact Diagonalization |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10140860 |
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