NDLI: Quantification of entanglement of teleportation in arbitrary dimensions

Content Provider	Springer Nature Link
Author	Sazim, Sk Adhikari, Satyabrata Banerjee, Subhashish Pramanik, Tanumoy
Copyright Year	2013
Abstract	We study bipartite entangled states in arbitrary dimensions and obtain different bounds for the entanglement measures in terms of teleportation fidelity. We find that there is a simple relation between negativity and teleportation fidelity for pure states, but for mixed states, an upper bound is obtained for negativity in terms of teleportation fidelity using convex-roof extension negativity. However, with this, it is not clear how to distinguish between states useful for teleportation and positive partial transpose (PPT) entangled states. Further, there exists a strong conjecture in the literature that all PPT entangled states, in $$3 \otimes 3$$ systems, have Schmidt rank two. This motivates us to develop measures capable of identifying states useful for teleportation and dependent on the Schmidt number. We thus establish various relations between teleportation fidelity and entanglement measures depending upon Schmidt rank of the states. These relations and bounds help us to determine the amount of entanglement required for teleportation, which we call the “Entanglement of Teleportation.” These bounds are used to determine the teleportation fidelity as well as the entanglement required for teleportation of states modeled by a two-qutrit mixed system, as well as two-qubit open quantum systems.
Starting Page	863
Ending Page	880
Page Count	18
File Format	PDF
ISSN	15700755
Journal	Quantum Information Processing
Volume Number	13
Issue Number	4
e-ISSN	15731332
Language	English
Publisher	Springer US
Publisher Date	2013-11-30
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Entanglement Teleportation Open system Quantum Information Technology, Spintronics Quantum Computing Data Structures, Cryptology and Information Theory Quantum Physics Mathematical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Theoretical Computer Science Signal Processing Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering Modeling and Simulation

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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