dorsal/arxiv
View SchemaOn the Entangling Power of Quantum Evolutions
| Authors | Paolo Zanardi, Christof Zalka, Lara Faoro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005031 |
| URL | https://arxiv.org/abs/quant-ph/0005031 |
| DOI | 10.1103/PhysRevA.62.030301 |
| Journal | Phys.Rev.A62:030301,2000 |
Abstract
We analyze the entangling capabilities of unitary transformations $U$ acting on a bipartite $d_1\times d_2$-dimensional quantum system. To this aim we introduce an entangling power measure $e(U)$ given by the mean linear entropy produced acting with $U$ on a given distribution of pure product states. This measure admits a natural interpretation in terms of quantum operations. For a uniform distribution explicit analytical results are obtained using group-theoretic arguments. The behaviour of the features of $e(U)$ as the subsystem dimensions $d_1$ and $d_2$ are varied is studied both analytically and numerically. The two-qubit case $d_1=d_2=2$ is argued to be peculiar.
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"abstract": "We analyze the entangling capabilities of unitary transformations $U$ acting\non a bipartite $d_1\\times d_2$-dimensional quantum system. To this aim we\nintroduce an entangling power measure $e(U)$ given by the mean linear entropy\nproduced acting with $U$ on a given distribution of pure product states. This\nmeasure admits a natural interpretation in terms of quantum operations. For a\nuniform distribution explicit analytical results are obtained using\ngroup-theoretic arguments. The behaviour of the features of $e(U)$ as the\nsubsystem dimensions $d_1$ and $d_2$ are varied is studied both analytically\nand numerically. The two-qubit case $d_1=d_2=2$ is argued to be peculiar.",
"arxiv_id": "quant-ph/0005031",
"authors": [
"Paolo Zanardi",
"Christof Zalka",
"Lara Faoro"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.030301",
"journal_ref": "Phys.Rev.A62:030301,2000",
"title": "On the Entangling Power of Quantum Evolutions",
"url": "https://arxiv.org/abs/quant-ph/0005031"
},
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