Entropy as a function of geometric phase
We give a closed-form solution of von Neumann entropy as a function of geometric phase modulated by visibility and average distinguishability in Hubert spaces of two and three dimensions. We show that the same type of dependence also exists in higher dimensions albeit with other terms. For non-maxim...
| Huvudupphovsmän: | , |
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| Materialtyp: | Journal article |
| Språk: | English |
| Publicerad: |
2004
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| _version_ | 1826296380039102464 |
|---|---|
| author | Hartley, J Vedral, V |
| author_facet | Hartley, J Vedral, V |
| author_sort | Hartley, J |
| collection | OXFORD |
| description | We give a closed-form solution of von Neumann entropy as a function of geometric phase modulated by visibility and average distinguishability in Hubert spaces of two and three dimensions. We show that the same type of dependence also exists in higher dimensions albeit with other terms. For non-maximal mixing, the results become more involved and generally depend also on the probability of the states. We also outline a method for measuring both the entropy and the phase experimentally using a simple Mach-Zehnder-type interferometer which explains physically why the two concepts are related. |
| first_indexed | 2024-03-07T04:15:26Z |
| format | Journal article |
| id | oxford-uuid:c93f6d32-03fa-48a2-a6c6-f9c9e8e4acc5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:15:26Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:c93f6d32-03fa-48a2-a6c6-f9c9e8e4acc52022-03-27T06:57:46ZEntropy as a function of geometric phaseJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c93f6d32-03fa-48a2-a6c6-f9c9e8e4acc5EnglishSymplectic Elements at Oxford2004Hartley, JVedral, VWe give a closed-form solution of von Neumann entropy as a function of geometric phase modulated by visibility and average distinguishability in Hubert spaces of two and three dimensions. We show that the same type of dependence also exists in higher dimensions albeit with other terms. For non-maximal mixing, the results become more involved and generally depend also on the probability of the states. We also outline a method for measuring both the entropy and the phase experimentally using a simple Mach-Zehnder-type interferometer which explains physically why the two concepts are related. |
| spellingShingle | Hartley, J Vedral, V Entropy as a function of geometric phase |
| title | Entropy as a function of geometric phase |
| title_full | Entropy as a function of geometric phase |
| title_fullStr | Entropy as a function of geometric phase |
| title_full_unstemmed | Entropy as a function of geometric phase |
| title_short | Entropy as a function of geometric phase |
| title_sort | entropy as a function of geometric phase |
| work_keys_str_mv | AT hartleyj entropyasafunctionofgeometricphase AT vedralv entropyasafunctionofgeometricphase |