Error-suppression by energy-gap protection for quantum computation in open systems
Thesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2014.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2015
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| Online Access: | http://hdl.handle.net/1721.1/92671 |
| _version_ | 1826215197886382080 |
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| author | Zhou, Xiang-Yu (Xiang-Yu Leo) |
| author2 | Edward Farhi. |
| author_facet | Edward Farhi. Zhou, Xiang-Yu (Xiang-Yu Leo) |
| author_sort | Zhou, Xiang-Yu (Xiang-Yu Leo) |
| collection | MIT |
| description | Thesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2014. |
| first_indexed | 2024-09-23T16:18:48Z |
| format | Thesis |
| id | mit-1721.1/92671 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:18:48Z |
| publishDate | 2015 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/926712019-04-10T15:21:10Z Error-suppression by energy-gap protection for quantum computation in open systems Zhou, Xiang-Yu (Xiang-Yu Leo) Edward Farhi. Massachusetts Institute of Technology. Department of Physics. Massachusetts Institute of Technology. Department of Physics. Physics. Thesis: S.B., Massachusetts Institute of Technology, Department of Physics, 2014. Missing pages 43 and 44. Cataloged from PDF version of thesis. Includes bibliographical references (pages 57-58). Adiabatic Quantum Computation, while attractive due to its "hands-off" approach and intrinsic tolerance of noise, has not been shown to be fully fault-tolerant in a satisfying manner. The protection of the evolution from noise and decoherence through the use of an energy penalty, recently proposed as a method to suppress error in adiabatic algorithms, is also appealing due to its passiveness. In this thesis, we first introduce the background on quantum computation, and discuss existing efforts towards fault-tolerant computation, specifically in the adiabatic model. Subsequently, we will prove a general result concerning the utility of energy-gap protection in generic (not necessarily adiabatic) quantum evolution in open system, and provides analytic bounds on the necessary energy penalty magnitude to achieve good protection. Evidence from numerical simulation is also given to demonstrate the practical usefulness of energy-gap protection for fault-tolerant quantum computation in open systems. by Xiang-Yu (Leo) Zhou. S.B. 2015-01-05T20:04:18Z 2015-01-05T20:04:18Z 2014 2014 Thesis http://hdl.handle.net/1721.1/92671 898189852 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 58 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Zhou, Xiang-Yu (Xiang-Yu Leo) Error-suppression by energy-gap protection for quantum computation in open systems |
| title | Error-suppression by energy-gap protection for quantum computation in open systems |
| title_full | Error-suppression by energy-gap protection for quantum computation in open systems |
| title_fullStr | Error-suppression by energy-gap protection for quantum computation in open systems |
| title_full_unstemmed | Error-suppression by energy-gap protection for quantum computation in open systems |
| title_short | Error-suppression by energy-gap protection for quantum computation in open systems |
| title_sort | error suppression by energy gap protection for quantum computation in open systems |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/92671 |
| work_keys_str_mv | AT zhouxiangyuxiangyuleo errorsuppressionbyenergygapprotectionforquantumcomputationinopensystems |