dorsal/arxiv
View SchemaPartially separable criterion and classification of states in multipartite systems with an arbitrary finite number of qubits
| Authors | An Min Wang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305016 |
| URL | https://arxiv.org/abs/quant-ph/0305016 |
Abstract
After introducing the partially separable concept, we proved the equivalence between the partial separability of a given $m$-partite subsystem with $m$ qubits and the purity of states of this $m$-partite subsystem for a pure state in multipartite systems with arbitrary finite $n(>m)$ qubits. Furthermore, we give out the operational realizations (corollaries) of our theorem, which are the sufficient and necessary criterions of partial separability of states and can be used to classification of states. Our results are helpful to understand and describe quantum entanglement in multipartite systems.
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"abstract": "After introducing the partially separable concept, we proved the equivalence\nbetween the partial separability of a given $m$-partite subsystem with $m$\nqubits and the purity of states of this $m$-partite subsystem for a pure state\nin multipartite systems with arbitrary finite $n(\u003em)$ qubits. Furthermore, we\ngive out the operational realizations (corollaries) of our theorem, which are\nthe sufficient and necessary criterions of partial separability of states and\ncan be used to classification of states. Our results are helpful to understand\nand describe quantum entanglement in multipartite systems.",
"arxiv_id": "quant-ph/0305016",
"authors": [
"An Min Wang"
],
"categories": [
"quant-ph"
],
"title": "Partially separable criterion and classification of states in multipartite systems with an arbitrary finite number of qubits",
"url": "https://arxiv.org/abs/quant-ph/0305016"
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