Perfect tight quantum teleportation without a shared reference frame
We present a new scheme for teleporting a quantum state between two parties whose local reference frames are misaligned by the action of a finite symmetry group. Unlike other proposals, our scheme requires the same amount of classical communication and entangled resources as conventional teleportati...
| المؤلفون الرئيسيون: | , |
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| التنسيق: | Journal article |
| منشور في: |
American Physical Society
2018
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| _version_ | 1826274569537716224 |
|---|---|
| author | Verdon, D Vicary, J |
| author_facet | Verdon, D Vicary, J |
| author_sort | Verdon, D |
| collection | OXFORD |
| description | We present a new scheme for teleporting a quantum state between two parties whose local reference frames are misaligned by the action of a finite symmetry group. Unlike other proposals, our scheme requires the same amount of classical communication and entangled resources as conventional teleportation, does not reveal any reference frame information, and is robust against changes in reference frame alignment while the protocol is underway. The mathematical foundation of our scheme is a unitary error basis which is permuted up to a phase by the conjugation action of the group. We completely classify such unitary error bases for qubits, exhibit constructions in higher dimension, and provide a method for proving nonexistence in some cases. |
| first_indexed | 2024-03-06T22:45:26Z |
| format | Journal article |
| id | oxford-uuid:5d0263b3-e3b1-40a6-90fd-078e65a3f3c5 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:45:26Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:5d0263b3-e3b1-40a6-90fd-078e65a3f3c52022-03-26T17:31:46ZPerfect tight quantum teleportation without a shared reference frameJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5d0263b3-e3b1-40a6-90fd-078e65a3f3c5Symplectic Elements at OxfordAmerican Physical Society2018Verdon, DVicary, JWe present a new scheme for teleporting a quantum state between two parties whose local reference frames are misaligned by the action of a finite symmetry group. Unlike other proposals, our scheme requires the same amount of classical communication and entangled resources as conventional teleportation, does not reveal any reference frame information, and is robust against changes in reference frame alignment while the protocol is underway. The mathematical foundation of our scheme is a unitary error basis which is permuted up to a phase by the conjugation action of the group. We completely classify such unitary error bases for qubits, exhibit constructions in higher dimension, and provide a method for proving nonexistence in some cases. |
| spellingShingle | Verdon, D Vicary, J Perfect tight quantum teleportation without a shared reference frame |
| title | Perfect tight quantum teleportation without a shared reference frame |
| title_full | Perfect tight quantum teleportation without a shared reference frame |
| title_fullStr | Perfect tight quantum teleportation without a shared reference frame |
| title_full_unstemmed | Perfect tight quantum teleportation without a shared reference frame |
| title_short | Perfect tight quantum teleportation without a shared reference frame |
| title_sort | perfect tight quantum teleportation without a shared reference frame |
| work_keys_str_mv | AT verdond perfecttightquantumteleportationwithoutasharedreferenceframe AT vicaryj perfecttightquantumteleportationwithoutasharedreferenceframe |