Effect of Entanglement on Geometric Phase for Multi-Qubit States
When a multi-qubit state evolves under local unitaries it may obtain a geometric phase, a feature dependent on the geometry of the state projective Hilbert space. A correction term to this geometric phase, in addition to the local subsystem phases, may appear from correlations between the subsystems...
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| Formato: | Conference item |
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2009
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| _version_ | 1826261954994372608 |
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| author | Williamson, MS Vedral, V |
| author_facet | Williamson, MS Vedral, V |
| author_sort | Williamson, MS |
| collection | OXFORD |
| description | When a multi-qubit state evolves under local unitaries it may obtain a geometric phase, a feature dependent on the geometry of the state projective Hilbert space. A correction term to this geometric phase, in addition to the local subsystem phases, may appear from correlations between the subsystems. We find that this correction term can be characterized completely either by the entanglement or by the classical correlations for several classes of entangled state. States belonging to the former set are W states and their mixtures, while members of the latter set are cluster states, GHZ states and two classes of bound entangled state. We probe the structures of these states more finely using local invariants and suggest that the cause of the entanglement correction is a recently introduced gauge field-like SL(2,)-invariant called twist. © 2009 World Scientific Publishing Company. |
| first_indexed | 2024-03-06T19:28:43Z |
| format | Conference item |
| id | oxford-uuid:1cb43cbe-8869-46b4-a96f-497a860530d8 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:28:43Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:1cb43cbe-8869-46b4-a96f-497a860530d82022-03-26T11:06:58ZEffect of Entanglement on Geometric Phase for Multi-Qubit StatesConference itemhttp://purl.org/coar/resource_type/c_5794uuid:1cb43cbe-8869-46b4-a96f-497a860530d8Symplectic Elements at Oxford2009Williamson, MSVedral, VWhen a multi-qubit state evolves under local unitaries it may obtain a geometric phase, a feature dependent on the geometry of the state projective Hilbert space. A correction term to this geometric phase, in addition to the local subsystem phases, may appear from correlations between the subsystems. We find that this correction term can be characterized completely either by the entanglement or by the classical correlations for several classes of entangled state. States belonging to the former set are W states and their mixtures, while members of the latter set are cluster states, GHZ states and two classes of bound entangled state. We probe the structures of these states more finely using local invariants and suggest that the cause of the entanglement correction is a recently introduced gauge field-like SL(2,)-invariant called twist. © 2009 World Scientific Publishing Company. |
| spellingShingle | Williamson, MS Vedral, V Effect of Entanglement on Geometric Phase for Multi-Qubit States |
| title | Effect of Entanglement on Geometric Phase for Multi-Qubit States |
| title_full | Effect of Entanglement on Geometric Phase for Multi-Qubit States |
| title_fullStr | Effect of Entanglement on Geometric Phase for Multi-Qubit States |
| title_full_unstemmed | Effect of Entanglement on Geometric Phase for Multi-Qubit States |
| title_short | Effect of Entanglement on Geometric Phase for Multi-Qubit States |
| title_sort | effect of entanglement on geometric phase for multi qubit states |
| work_keys_str_mv | AT williamsonms effectofentanglementongeometricphaseformultiqubitstates AT vedralv effectofentanglementongeometricphaseformultiqubitstates |