dorsal/arxiv
View SchemaQuantifying entanglement with probabilities
| Authors | Markus A. Cirone |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110139 |
| URL | https://arxiv.org/abs/quant-ph/0110139 |
Abstract
We propose a new approach to the problem of defining the degree of entanglement between two particles in a pure state with Hilbert spaces of arbitrary finite dimensions. The central idea is that entanglement gives rise to correlations between the particles that do not occur in separable states. We individuate the contributions of these correlations to the joint and the conditional probabilities of local measurements outcomes. We use these probabilities to define the measure of entanglement. Our measure turns out to be proportional to the so-called 2-entropy and therefore satisfies the properties required for any measure of entanglement. We conclude with an outlook on the problem of extending our approach to the case of multipartite systems and mixed states.
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"abstract": "We propose a new approach to the problem of defining the degree of\nentanglement between two particles in a pure state with Hilbert spaces of\narbitrary finite dimensions. The central idea is that entanglement gives rise\nto correlations between the particles that do not occur in separable states. We\nindividuate the contributions of these correlations to the joint and the\nconditional probabilities of local measurements outcomes. We use these\nprobabilities to define the measure of entanglement. Our measure turns out to\nbe proportional to the so-called 2-entropy and therefore satisfies the\nproperties required for any measure of entanglement. We conclude with an\noutlook on the problem of extending our approach to the case of multipartite\nsystems and mixed states.",
"arxiv_id": "quant-ph/0110139",
"authors": [
"Markus A. Cirone"
],
"categories": [
"quant-ph"
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"title": "Quantifying entanglement with probabilities",
"url": "https://arxiv.org/abs/quant-ph/0110139"
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