dorsal/arxiv
View SchemaQuantum Computing in Arrays Coupled by 'Always On' Interactions
| Authors | S. C. Benjamin, S. Bose |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401071 |
| URL | https://arxiv.org/abs/quant-ph/0401071 |
| DOI | 10.1103/PhysRevA.70.032314 |
Abstract
It has recently been shown that one can perform quantum computation in a Heisenberg chain in which the interactions are 'always on', provided that one can abruptly tune the Zeeman energies of the individual (pseudo-)spins. Here we provide a more complete analysis of this scheme, including several generalizations. We generalize the interaction to an anisotropic form (incorporating the XY, or Forster, interaction as a limit), providing a proof that a chain coupled in this fashion tends to an effective Ising chain in the limit of far off-resonant spins. We derive the primitive two-qubit gate that results from exploiting abrupt Zeeman tuning with such an interaction. We also demonstrate, via numerical simulation, that the same basic scheme functions in the case of smoothly shifted Zeeman energies. We conclude with some remarks regarding generalisations to two- and three-dimensional arrays.
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"abstract": "It has recently been shown that one can perform quantum computation in a\nHeisenberg chain in which the interactions are \u0027always on\u0027, provided that one\ncan abruptly tune the Zeeman energies of the individual (pseudo-)spins. Here we\nprovide a more complete analysis of this scheme, including several\ngeneralizations. We generalize the interaction to an anisotropic form\n(incorporating the XY, or Forster, interaction as a limit), providing a proof\nthat a chain coupled in this fashion tends to an effective Ising chain in the\nlimit of far off-resonant spins. We derive the primitive two-qubit gate that\nresults from exploiting abrupt Zeeman tuning with such an interaction. We also\ndemonstrate, via numerical simulation, that the same basic scheme functions in\nthe case of smoothly shifted Zeeman energies. We conclude with some remarks\nregarding generalisations to two- and three-dimensional arrays.",
"arxiv_id": "quant-ph/0401071",
"authors": [
"S. C. Benjamin",
"S. Bose"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.032314",
"title": "Quantum Computing in Arrays Coupled by \u0027Always On\u0027 Interactions",
"url": "https://arxiv.org/abs/quant-ph/0401071"
},
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