A Note on the Entropy of Entanglement and Entanglement Swapping Bounds
Using the information content of correlations between multipartite systems, together with the notion of partitioning, we show that some general results about the evolution of correlations in quantum systems can be derived with only elementary methods. In particular, we show that for 2 quantum system...
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| creator | Phoenix, Simon James Daniel |
| description | Using the information content of correlations between multipartite systems,
together with the notion of partitioning, we show that some general results
about the evolution of correlations in quantum systems can be derived with only
elementary methods. In particular, we show that for 2 quantum systems A and B,
each comprised of a number of sub-systems, in which a partition of A interacts
unitarily with a partition of B, then the total correlation can only increase
(or remain unchanged) and is given simply by the sum of the initial correlation
and the correlation that develops as a result of the interaction. We then show
that in a 4 qubit entanglement swapping process the transferred degree of
entanglement is bounded by the lower of the initial degrees of entanglements of
the qubits. |
| doi_str_mv | 10.48550/arxiv.1610.00104 |
| format | Article |
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together with the notion of partitioning, we show that some general results
about the evolution of correlations in quantum systems can be derived with only
elementary methods. In particular, we show that for 2 quantum systems A and B,
each comprised of a number of sub-systems, in which a partition of A interacts
unitarily with a partition of B, then the total correlation can only increase
(or remain unchanged) and is given simply by the sum of the initial correlation
and the correlation that develops as a result of the interaction. We then show
that in a 4 qubit entanglement swapping process the transferred degree of
entanglement is bounded by the lower of the initial degrees of entanglements of
the qubits.</description><identifier>DOI: 10.48550/arxiv.1610.00104</identifier><language>eng</language><subject>Physics - Quantum Physics</subject><creationdate>2016-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1610.00104$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1610.00104$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Phoenix, Simon James Daniel</creatorcontrib><title>A Note on the Entropy of Entanglement and Entanglement Swapping Bounds</title><description>Using the information content of correlations between multipartite systems,
together with the notion of partitioning, we show that some general results
about the evolution of correlations in quantum systems can be derived with only
elementary methods. In particular, we show that for 2 quantum systems A and B,
each comprised of a number of sub-systems, in which a partition of A interacts
unitarily with a partition of B, then the total correlation can only increase
(or remain unchanged) and is given simply by the sum of the initial correlation
and the correlation that develops as a result of the interaction. We then show
that in a 4 qubit entanglement swapping process the transferred degree of
entanglement is bounded by the lower of the initial degrees of entanglements of
the qubits.</description><subject>Physics - Quantum Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpVj71uwjAURr0wVNAH6FS_QIKdONfOCChpkRAMsEeOfU0jBTsK6U_evgG6dPo-neFIh5AXzmKhsowtdf_TfMUcJsAYZ-KJlCu6DwPS4OnwgbTwQx-6kQZ3u9qfW7ygH6j29j84fuuua_yZrsOnt9cFmTndXvH5b-fkVBanzXu0O7xtN6tdpEGKKMnRqBQTZYRivObOAoIDl5tcIkIyUQHcIghk0ggJaS2wdnXGlJLOmnROXh_ae0jV9c1F92N1C6ruQekvkEBFoQ</recordid><startdate>20161001</startdate><enddate>20161001</enddate><creator>Phoenix, Simon James Daniel</creator><scope>GOX</scope></search><sort><creationdate>20161001</creationdate><title>A Note on the Entropy of Entanglement and Entanglement Swapping Bounds</title><author>Phoenix, Simon James Daniel</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-29ec83e28c4801b1fd6e6f6f9c97ee62480461de64e07c4763b4ebfb50887fdc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Physics - Quantum Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Phoenix, Simon James Daniel</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Phoenix, Simon James Daniel</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Note on the Entropy of Entanglement and Entanglement Swapping Bounds</atitle><date>2016-10-01</date><risdate>2016</risdate><abstract>Using the information content of correlations between multipartite systems,
together with the notion of partitioning, we show that some general results
about the evolution of correlations in quantum systems can be derived with only
elementary methods. In particular, we show that for 2 quantum systems A and B,
each comprised of a number of sub-systems, in which a partition of A interacts
unitarily with a partition of B, then the total correlation can only increase
(or remain unchanged) and is given simply by the sum of the initial correlation
and the correlation that develops as a result of the interaction. We then show
that in a 4 qubit entanglement swapping process the transferred degree of
entanglement is bounded by the lower of the initial degrees of entanglements of
the qubits.</abstract><doi>10.48550/arxiv.1610.00104</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Quantum Physics |
| title | A Note on the Entropy of Entanglement and Entanglement Swapping Bounds |
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