Abstract
We describe in detail a general strategy for implementing a conditional geometric phase between two spins. Combined with single-spin operations, this simple operation is a universal gate for quantum computation, in that any unitary transformation can be implemented with arbitrary precision using only single-spin operations and conditional phase shifts. Thus quantum geometrical phases can form the basis of any quantum computation. Moreover, as the induced conditional phase depends only on the geometry of the paths executed by the spins it is resilient to certain types of errors and offers the potential of a naturally fault-tolerant way of performing quantum computation.
| Language | English |
|---|---|
| Pages | 2501-2513 |
| Number of pages | 13 |
| Journal | Journal of Modern Optics |
| Volume | 47 |
| Issue number | 14-15 |
| DOIs | |
| Publication status | Published - Nov 2000 |
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Keywords
- magnetic resonance
- logic gates
- quantum systems
Cite this
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Geometric quantum computation. / Ekert, A ; Ericsson, M ; Hayden, P ; Inamori, H ; Jones, J A ; Oi, D K L ; Vedral, V .
In: Journal of Modern Optics, Vol. 47, No. 14-15, 11.2000, p. 2501-2513.Research output: Contribution to journal › Article
TY - JOUR
T1 - Geometric quantum computation
AU - Ekert, A
AU - Ericsson, M
AU - Hayden, P
AU - Inamori, H
AU - Jones, J A
AU - Oi, D K L
AU - Vedral, V
PY - 2000/11
Y1 - 2000/11
N2 - We describe in detail a general strategy for implementing a conditional geometric phase between two spins. Combined with single-spin operations, this simple operation is a universal gate for quantum computation, in that any unitary transformation can be implemented with arbitrary precision using only single-spin operations and conditional phase shifts. Thus quantum geometrical phases can form the basis of any quantum computation. Moreover, as the induced conditional phase depends only on the geometry of the paths executed by the spins it is resilient to certain types of errors and offers the potential of a naturally fault-tolerant way of performing quantum computation.
AB - We describe in detail a general strategy for implementing a conditional geometric phase between two spins. Combined with single-spin operations, this simple operation is a universal gate for quantum computation, in that any unitary transformation can be implemented with arbitrary precision using only single-spin operations and conditional phase shifts. Thus quantum geometrical phases can form the basis of any quantum computation. Moreover, as the induced conditional phase depends only on the geometry of the paths executed by the spins it is resilient to certain types of errors and offers the potential of a naturally fault-tolerant way of performing quantum computation.
KW - magnetic resonance
KW - logic gates
KW - quantum systems
UR - http://arxiv.org/PS_cache/quant-ph/pdf/0004/0004015v1.pdf
U2 - 10.1080/09500340008232177
DO - 10.1080/09500340008232177
M3 - Article
VL - 47
SP - 2501
EP - 2513
JO - Journal of Modern Optics
T2 - Journal of Modern Optics
JF - Journal of Modern Optics
SN - 0950-0340
IS - 14-15
ER -