dorsal/arxiv
View SchemaHigh order correlations of generic pure states of finite-dimensional quantum systems are determined by lower order correlations
| Authors | N. Linden, W. K. Wootters |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208093 |
| URL | https://arxiv.org/abs/quant-ph/0208093 |
Abstract
We show that almost every pure state of multi-party quantum systems (each of whose local Hilbert space has the same dimension) is completely determined by the state's reduced density matrices of a fraction of the parties; this fraction is less than about two-thirds of the parties for states of large numbers of parties. In other words once the reduced states of this fraction of the parties have been specified, there is no further freedom in the state.
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"abstract": "We show that almost every pure state of multi-party quantum systems (each of\nwhose local Hilbert space has the same dimension) is completely determined by\nthe state\u0027s reduced density matrices of a fraction of the parties; this\nfraction is less than about two-thirds of the parties for states of large\nnumbers of parties. In other words once the reduced states of this fraction of\nthe parties have been specified, there is no further freedom in the state.",
"arxiv_id": "quant-ph/0208093",
"authors": [
"N. Linden",
"W. K. Wootters"
],
"categories": [
"quant-ph"
],
"title": "High order correlations of generic pure states of finite-dimensional quantum systems are determined by lower order correlations",
"url": "https://arxiv.org/abs/quant-ph/0208093"
},
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