Geometric Phases and Topological Quantum Computation
In the first part of this review we introduce the basics theory behind geometric phases and emphasize their importance in quantum theory. The subject is presented in a general way so as to illustrate its wide applicability, but we also introduce a number of examples that will help the reader underst...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
23.12.2002
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| Subjects | |
| Online Access | Get full text |
| DOI | 10.48550/arxiv.quant-ph/0212133 |
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| Summary: | In the first part of this review we introduce the basics theory behind
geometric phases and emphasize their importance in quantum theory. The subject
is presented in a general way so as to illustrate its wide applicability, but
we also introduce a number of examples that will help the reader understand the
basic issues involved. In the second part we show how to perform a universal
quantum computation using only geometric effects appearing in quantum phases.
It is then finally discussed how this geometric way of performing quantum gates
can lead to a stable, large scale, intrinsically fault-tolerant quantum
computer. |
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| DOI: | 10.48550/arxiv.quant-ph/0212133 |