dorsal/arxiv
View SchemaAttainable entanglement of unitary transformed thermal states in liquid-state nuclear magnetic resonance with the chemical shift
| Authors | Yukihiro Ota, Shuji Mikami, Motoyuki Yoshida, Ichiro Ohba |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612158 |
| URL | https://arxiv.org/abs/quant-ph/0612158 |
| DOI | 10.1088/1751-8113/40/47/016 |
| Journal | J. Phys. A: Math. Theor. 40, (2007) 14263-14277. |
Abstract
Recently, Yu, Brown, and Chuang [Phys. Rev. A {\bf 71}, 032341 (2005)] investigated the entanglement attainable from unitary transformed thermal states in liquid-state nuclear magnetic resonance (NMR). Their research gave an insight into the role of the entanglement in a liquid-state NMR quantum computer. Moreover, they attempted to reveal the role of mixed-state entanglement in quantum computing. However, they assumed that the Zeeman energy of each nuclear spin which corresponds to a qubit takes a common value for all; there is no chemical shift. In this paper, we research a model with the chemical shifts and analytically derive the physical parameter region where unitary transformed thermal states are entangled, by the positive partial transposition (PPT) criterion with respect to any bipartition. We examine the effect of the chemical shifts on the boundary between the separability and the nonseparability, and find it is negligible.
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"abstract": "Recently, Yu, Brown, and Chuang [Phys. Rev. A {\\bf 71}, 032341 (2005)]\ninvestigated the entanglement attainable from unitary transformed thermal\nstates in liquid-state nuclear magnetic resonance (NMR). Their research gave an\ninsight into the role of the entanglement in a liquid-state NMR quantum\ncomputer. Moreover, they attempted to reveal the role of mixed-state\nentanglement in quantum computing. However, they assumed that the Zeeman energy\nof each nuclear spin which corresponds to a qubit takes a common value for all;\nthere is no chemical shift. In this paper, we research a model with the\nchemical shifts and analytically derive the physical parameter region where\nunitary transformed thermal states are entangled, by the positive partial\ntransposition (PPT) criterion with respect to any bipartition. We examine the\neffect of the chemical shifts on the boundary between the separability and the\nnonseparability, and find it is negligible.",
"arxiv_id": "quant-ph/0612158",
"authors": [
"Yukihiro Ota",
"Shuji Mikami",
"Motoyuki Yoshida",
"Ichiro Ohba"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/47/016",
"journal_ref": "J. Phys. A: Math. Theor. 40, (2007) 14263-14277.",
"title": "Attainable entanglement of unitary transformed thermal states in liquid-state nuclear magnetic resonance with the chemical shift",
"url": "https://arxiv.org/abs/quant-ph/0612158"
},
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