dorsal/arxiv
View SchemaImplementation of Universal Control on a Decoherence-Free Qubit
| Authors | Evan M. Fortunato, Lorenza Viola, Jonathan Hodges, Grum Teklemariam, David G. Cory |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111166 |
| URL | https://arxiv.org/abs/quant-ph/0111166 |
| DOI | 10.1088/1367-2630/4/1/305 |
Abstract
We demonstrate storage and manipulation of one qubit encoded into a decoherence-free subspace (DFS) of two nuclear spins using liquid state nuclear magnetic resonance (NMR) techniques. The DFS is spanned by states that are unaffected by arbitrary collective phase noise. Encoding and decoding procedures reversibly map an arbitrary qubit state from a single data spin to the DFS and back. The implementation demonstrates the robustness of the DFS memory against engineered dephasing with arbitrary strength as well as a substantial increase in the amount of quantum information retained, relative to an un-encoded qubit, under both engineered and natural noise processes. In addition, a universal set of logical manipulations over the encoded qubit is also realized. Although intrinsic limitations prevent maintaining full noise tolerance during quantum gates, we show how the use of dynamical control methods at the encoded level can ensure that computation is protected with finite distance. We demonstrate noise-tolerant control over a DFS qubit in the presence of engineered phase noise significantly stronger than observed from natural noise sources.
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"abstract": "We demonstrate storage and manipulation of one qubit encoded into a\ndecoherence-free subspace (DFS) of two nuclear spins using liquid state nuclear\nmagnetic resonance (NMR) techniques. The DFS is spanned by states that are\nunaffected by arbitrary collective phase noise. Encoding and decoding\nprocedures reversibly map an arbitrary qubit state from a single data spin to\nthe DFS and back. The implementation demonstrates the robustness of the DFS\nmemory against engineered dephasing with arbitrary strength as well as a\nsubstantial increase in the amount of quantum information retained, relative to\nan un-encoded qubit, under both engineered and natural noise processes. In\naddition, a universal set of logical manipulations over the encoded qubit is\nalso realized. Although intrinsic limitations prevent maintaining full noise\ntolerance during quantum gates, we show how the use of dynamical control\nmethods at the encoded level can ensure that computation is protected with\nfinite distance. We demonstrate noise-tolerant control over a DFS qubit in the\npresence of engineered phase noise significantly stronger than observed from\nnatural noise sources.",
"arxiv_id": "quant-ph/0111166",
"authors": [
"Evan M. Fortunato",
"Lorenza Viola",
"Jonathan Hodges",
"Grum Teklemariam",
"David G. Cory"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/4/1/305",
"title": "Implementation of Universal Control on a Decoherence-Free Qubit",
"url": "https://arxiv.org/abs/quant-ph/0111166"
},
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