dorsal/arxiv
View SchemaOptimal two-qubit gate for generation of random bipartite entanglement
| Authors | Marko Znidaric |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702240 |
| URL | https://arxiv.org/abs/quant-ph/0702240 |
| DOI | 10.1103/PhysRevA.76.012318 |
| Journal | Phys. Rev. A 76, 012318 (2007) |
Abstract
We numerically study protocols consisting of repeated applications of two qubit gates used for generating random pure states. A necessary number of steps needed in order to generate states displaying bipartite entanglement typical of random states is obtained. For generic two qubit entangling gate the decay rate of purity is found to scale as $\sim n$ and therefore of order $\sim n^2$ steps are necessary to reach random bipartite entanglement. We also numerically identify the optimal two qubit gate for which the convergence is the fastest. Perhaps surprisingly, applying the same good two qubit gate in addition to a random single qubit rotations at each step leads to a faster generation of entanglement than applying a random two qubit transformation at each step.
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"abstract": "We numerically study protocols consisting of repeated applications of two\nqubit gates used for generating random pure states. A necessary number of steps\nneeded in order to generate states displaying bipartite entanglement typical of\nrandom states is obtained. For generic two qubit entangling gate the decay rate\nof purity is found to scale as $\\sim n$ and therefore of order $\\sim n^2$ steps\nare necessary to reach random bipartite entanglement. We also numerically\nidentify the optimal two qubit gate for which the convergence is the fastest.\nPerhaps surprisingly, applying the same good two qubit gate in addition to a\nrandom single qubit rotations at each step leads to a faster generation of\nentanglement than applying a random two qubit transformation at each step.",
"arxiv_id": "quant-ph/0702240",
"authors": [
"Marko Znidaric"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.76.012318",
"journal_ref": "Phys. Rev. A 76, 012318 (2007)",
"title": "Optimal two-qubit gate for generation of random bipartite entanglement",
"url": "https://arxiv.org/abs/quant-ph/0702240"
},
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