dorsal/arxiv
View SchemaEntangling capacities of noisy two-qubit Hamiltonians
| Authors | Somshubhro Bandyopadhyay, Daniel A. Lidar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308014 |
| URL | https://arxiv.org/abs/quant-ph/0308014 |
| DOI | 10.1103/PhysRevA.70.010301 |
| Journal | Phys. Rev. A 70, 010301(R) (2004) |
Abstract
We show that intrinsic fluctuations in system control parameters impose limits on the ability of two-qubit (exchange) Hamiltonians to generate entanglement starting from mixed initial states. We find three classes for Gaussian and Laplacian fluctuations. For the Ising and XYZ models there are qualitatively distinct sharp entanglement-generation transitions, while the class of Heisenberg, XY, and XXZ Hamiltonians is capable of generating entanglement for any finite noise level. Our findings imply that exchange Hamiltonians are surprisingly robust in their ability to generate entanglement in the presence of noise, thus potentially reducing the need for quantum error correction.
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"abstract": "We show that intrinsic fluctuations in system control parameters impose\nlimits on the ability of two-qubit (exchange) Hamiltonians to generate\nentanglement starting from mixed initial states. We find three classes for\nGaussian and Laplacian fluctuations. For the Ising and XYZ models there are\nqualitatively distinct sharp entanglement-generation transitions, while the\nclass of Heisenberg, XY, and XXZ Hamiltonians is capable of generating\nentanglement for any finite noise level. Our findings imply that exchange\nHamiltonians are surprisingly robust in their ability to generate entanglement\nin the presence of noise, thus potentially reducing the need for quantum error\ncorrection.",
"arxiv_id": "quant-ph/0308014",
"authors": [
"Somshubhro Bandyopadhyay",
"Daniel A. Lidar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.010301",
"journal_ref": "Phys. Rev. A 70, 010301(R) (2004)",
"title": "Entangling capacities of noisy two-qubit Hamiltonians",
"url": "https://arxiv.org/abs/quant-ph/0308014"
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