Controlled teleportation of qubit states: Relation between teleportation faithfulness, controller's authority, and tripartite entanglement

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73594824" target="_blank" >RIV/61989592:15310/19:73594824 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.99.012306" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.99.012306</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.99.012306" target="_blank" >10.1103/PhysRevA.99.012306</a>

Result language
angličtina
Original language name
Controlled teleportation of qubit states: Relation between teleportation faithfulness, controller's authority, and tripartite entanglement
Original language description
We consider the controlled quantum teleportation performed on a single copy of entangled three-qubit pure states and show how the fidelity of teleportation and the control power are related to the tripartite entanglement measures, namely, three-tangle and genuine concurrence. We characterize the states with extreme properties, and use them to derive tight lower and upper bounds on both the teleportation fidelity and control power for a given amount of entanglement. Furthermore, we discuss the usefulness of these two quantities for experimental detection and/or quantification of tripartite entanglement. In particular, we present the results which imply that the control power cannot be considered as a candidate for a degree of three-qubit entanglement complementary to the three-tangle as conjectured recently [K. Jeong, J. Kim, and S. Lee, Phys. Rev. A 93 , 032328 (2016)]. Furthermore, we prove a mutual relation between teleportation fidelity and control power which provides attainable limits of the controller's authority for existing controlled teleportation schemes. Although those relations are derived for pure states, their extensions for mixed states are also examined.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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