Quantum computation beyond the circuit model
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2008.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2009
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| Online Access: | http://hdl.handle.net/1721.1/45448 |
| _version_ | 1826202480883531776 |
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| author | Jordan, Stephen Paul |
| author2 | Edward H. Farhi. |
| author_facet | Edward H. Farhi. Jordan, Stephen Paul |
| author_sort | Jordan, Stephen Paul |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2008. |
| first_indexed | 2024-09-23T12:08:07Z |
| format | Thesis |
| id | mit-1721.1/45448 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T12:08:07Z |
| publishDate | 2009 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/454482019-04-10T14:18:07Z Quantum computation beyond the circuit model Jordan, Stephen Paul Edward H. Farhi. Massachusetts Institute of Technology. Dept. of Physics. Massachusetts Institute of Technology. Dept. of Physics. Physics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2008. Includes bibliographical references (p. 133-144). The quantum circuit model is the most widely used model of quantum computation. It provides both a framework for formulating quantum algorithms and an architecture for the physical construction of quantum computers. However, several other models of quantum computation exist which provide useful alternative frameworks for both discovering new quantum algorithms and devising new physical implementations of quantum computers. In this thesis, I first present necessary background material for a general physics audience and discuss existing models of quantum computation. Then, I present three new results relating to various models of quantum computation: a scheme for improving the intrinsic fault tolerance of adiabatic quantum computers using quantum error detecting codes, a proof that a certain problem of estimating Jones polynomials is complete for the one clean qubit complexity class, and a generalization of perturbative gadgets which allows k-body interactions to be directly simulated using 2-body interactions. Lastly, I discuss general principles regarding quantum computation that I learned in the course of my research, and using these principles I propose directions for future research. by Stephen Paul Jordan. Ph.D. 2009-04-29T17:44:10Z 2009-04-29T17:44:10Z 2008 2008 Thesis http://hdl.handle.net/1721.1/45448 318123001 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 144 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Jordan, Stephen Paul Quantum computation beyond the circuit model |
| title | Quantum computation beyond the circuit model |
| title_full | Quantum computation beyond the circuit model |
| title_fullStr | Quantum computation beyond the circuit model |
| title_full_unstemmed | Quantum computation beyond the circuit model |
| title_short | Quantum computation beyond the circuit model |
| title_sort | quantum computation beyond the circuit model |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/45448 |
| work_keys_str_mv | AT jordanstephenpaul quantumcomputationbeyondthecircuitmodel |