dorsal/arxiv
View SchemaEntangling power and operator entanglement in qudit systems
| Authors | Xiaoguang Wang, Barry C. Sanders, Dominic W. Berry |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210156 |
| URL | https://arxiv.org/abs/quant-ph/0210156 |
| DOI | 10.1103/PhysRevA.67.042323 |
| Journal | Phys. Rev. A 67, 042323 (2003). |
Abstract
We establish the entangling power of a unitary operator on a general finite-dimensional bipartite quantum system with and without ancillas, and give relations between the entangling power based on the von Neumann entropy and the entangling power based on the linear entropy. Significantly, we demonstrate that the entangling power of a general controlled unitary operator acting on two equal-dimensional qudits is proportional to the corresponding operator entanglement if linear entropy is adopted as the quantity representing the degree of entanglement. We discuss the entangling power and operator entanglement of three representative quantum gates on qudits: the SUM, double SUM, and SWAP gates.
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"abstract": "We establish the entangling power of a unitary operator on a general\nfinite-dimensional bipartite quantum system with and without ancillas, and give\nrelations between the entangling power based on the von Neumann entropy and the\nentangling power based on the linear entropy. Significantly, we demonstrate\nthat the entangling power of a general controlled unitary operator acting on\ntwo equal-dimensional qudits is proportional to the corresponding operator\nentanglement if linear entropy is adopted as the quantity representing the\ndegree of entanglement. We discuss the entangling power and operator\nentanglement of three representative quantum gates on qudits: the SUM, double\nSUM, and SWAP gates.",
"arxiv_id": "quant-ph/0210156",
"authors": [
"Xiaoguang Wang",
"Barry C. Sanders",
"Dominic W. Berry"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042323",
"journal_ref": "Phys. Rev. A 67, 042323 (2003).",
"title": "Entangling power and operator entanglement in qudit systems",
"url": "https://arxiv.org/abs/quant-ph/0210156"
},
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