dorsal/arxiv
View SchemaPrinciples and Demonstrations of Quantum Information Processing by NMR Spectroscopy
| Authors | T. F. Havel, S. S. Somaroo, C. -H. Tseng, D. G. Cory |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9812086 |
| URL | https://arxiv.org/abs/quant-ph/9812086 |
| Journal | AAECC 10, 339-374 (2000) |
Abstract
This paper surveys our recent research on quantum information processing by nuclear magnetic resonance (NMR) spectroscopy. We begin with a geometric introduction to the NMR of an ensemble of indistinguishable spins, and then show how this geometric interpretation is contained within an algebra of multispin product operators. This algebra is used throughout the rest of the paper to demonstrate that it provides a facile framework within which to study quantum information processing more generally. The implementation of quantum algorithms by NMR depends upon the availability of special kinds of mixed states, called pseudo-pure states, and we consider a number of different methods for preparing these states, along with analyses of how they scale with the number of spins. The quantum-mechanical nature of processes involving such macroscopic pseudo-pure states also is a matter of debate, and in order to discuss this issue in concrete terms we present the results of NMR experiments which constitute a macroscopic analogue Hardy's paradox. Finally, a detailed product operator description is given of recent NMR experiments which demonstrate a three-bit quantum error correcting code, using field gradients to implement a precisely-known decoherence model.
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"abstract": "This paper surveys our recent research on quantum information processing by\nnuclear magnetic resonance (NMR) spectroscopy. We begin with a geometric\nintroduction to the NMR of an ensemble of indistinguishable spins, and then\nshow how this geometric interpretation is contained within an algebra of\nmultispin product operators. This algebra is used throughout the rest of the\npaper to demonstrate that it provides a facile framework within which to study\nquantum information processing more generally. The implementation of quantum\nalgorithms by NMR depends upon the availability of special kinds of mixed\nstates, called pseudo-pure states, and we consider a number of different\nmethods for preparing these states, along with analyses of how they scale with\nthe number of spins. The quantum-mechanical nature of processes involving such\nmacroscopic pseudo-pure states also is a matter of debate, and in order to\ndiscuss this issue in concrete terms we present the results of NMR experiments\nwhich constitute a macroscopic analogue Hardy\u0027s paradox. Finally, a detailed\nproduct operator description is given of recent NMR experiments which\ndemonstrate a three-bit quantum error correcting code, using field gradients to\nimplement a precisely-known decoherence model.",
"arxiv_id": "quant-ph/9812086",
"authors": [
"T. F. Havel",
"S. S. Somaroo",
"C. -H. Tseng",
"D. G. Cory"
],
"categories": [
"quant-ph"
],
"journal_ref": "AAECC 10, 339-374 (2000)",
"title": "Principles and Demonstrations of Quantum Information Processing by NMR Spectroscopy",
"url": "https://arxiv.org/abs/quant-ph/9812086"
},
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