dorsal/arxiv
View SchemaGeometric quantum computation with NMR
| Authors | J. A. Jones, V. Vedral, A. Ekert, G. Castagnoli |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910052 |
| URL | https://arxiv.org/abs/quant-ph/9910052 |
| DOI | 10.1038/35002528 |
| Journal | Nature 403 869-871 (2000) |
Abstract
The experimental realisation of the basic constituents of quantum information processing devices, namely fault-tolerant quantum logic gates, requires conditional quantum dynamics, in which one subsystem undergoes a coherent evolution that depends on the quantum state of another subsystem. In particular, the subsystem may acquire a conditional phase shift. Here we consider a novel scenario in which this phase is of geometric rather than dynamical origin. As the conditional geometric (Berry) phase depends only on the geometry of the path executed it is resilient to certain types of errors, and offers the potential of an intrinsically fault-tolerant way of performing quantum gates. Nuclear Magnetic Resonance (NMR) has already been used to demonstrate both simple quantum information processing and Berry's phase. Here we report an NMR experiment which implements a conditional Berry phase, and thus a controlled phase shift gate. This constitutes the first elementary geometric quantum computation.
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"abstract": "The experimental realisation of the basic constituents of quantum information\nprocessing devices, namely fault-tolerant quantum logic gates, requires\nconditional quantum dynamics, in which one subsystem undergoes a coherent\nevolution that depends on the quantum state of another subsystem. In\nparticular, the subsystem may acquire a conditional phase shift. Here we\nconsider a novel scenario in which this phase is of geometric rather than\ndynamical origin. As the conditional geometric (Berry) phase depends only on\nthe geometry of the path executed it is resilient to certain types of errors,\nand offers the potential of an intrinsically fault-tolerant way of performing\nquantum gates. Nuclear Magnetic Resonance (NMR) has already been used to\ndemonstrate both simple quantum information processing and Berry\u0027s phase. Here\nwe report an NMR experiment which implements a conditional Berry phase, and\nthus a controlled phase shift gate. This constitutes the first elementary\ngeometric quantum computation.",
"arxiv_id": "quant-ph/9910052",
"authors": [
"J. A. Jones",
"V. Vedral",
"A. Ekert",
"G. Castagnoli"
],
"categories": [
"quant-ph"
],
"doi": "10.1038/35002528",
"journal_ref": "Nature 403 869-871 (2000)",
"title": "Geometric quantum computation with NMR",
"url": "https://arxiv.org/abs/quant-ph/9910052"
},
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