dorsal/arxiv
View SchemaLower Bound on Entanglement of Formation for the Qubit-Qudit System
| Authors | Edward Gerjuoy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301015 |
| URL | https://arxiv.org/abs/quant-ph/0301015 |
| DOI | 10.1103/PhysRevA.67.052308 |
Abstract
Wootters [PRL 80, 2245 (1998)] has derived a closed formula for the entanglement of formation (EOF) of an arbitrary mixed state in a system of two qubits. There is no known closed form expression for the EOF of an arbitrary mixed state in any system more complicated than two qubits. This paper, via a relatively straightforward generalization of Wootters' original derivation, obtains a closed form lower bound on the EOF of an arbitary mixed state of a system composed of a qubit and a qudit (a d-level quantum system, with d greater than or equal to 3). The derivation of the lower bound is detailed for a system composed of a qubit and a qutrit (d = 3); the generalization to d greater than 3 then follows readily.
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"abstract": "Wootters [PRL 80, 2245 (1998)] has derived a closed formula for the\nentanglement of formation (EOF) of an arbitrary mixed state in a system of two\nqubits. There is no known closed form expression for the EOF of an arbitrary\nmixed state in any system more complicated than two qubits. This paper, via a\nrelatively straightforward generalization of Wootters\u0027 original derivation,\nobtains a closed form lower bound on the EOF of an arbitary mixed state of a\nsystem composed of a qubit and a qudit (a d-level quantum system, with d\ngreater than or equal to 3). The derivation of the lower bound is detailed for\na system composed of a qubit and a qutrit (d = 3); the generalization to d\ngreater than 3 then follows readily.",
"arxiv_id": "quant-ph/0301015",
"authors": [
"Edward Gerjuoy"
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"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.052308",
"title": "Lower Bound on Entanglement of Formation for the Qubit-Qudit System",
"url": "https://arxiv.org/abs/quant-ph/0301015"
},
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