Wang, Zhiwei and Braunstein, Samuel Leon orcid.org/0000-0003-4790-136X (2016) Higher-dimensional performance of port-based teleportation. Scientific Reports. 33004. ISSN 2045-2322
Abstract
Port-based teleportation (PBT) is a variation of regular quantum teleportation that operates without a final unitary correction. However, its behavior for higher-dimensional systems has been hard to calculate explicitly beyond dimension d = 2. Indeed, relying on conventional Hilbert-space representations entails an exponential overhead with increasing dimension. Some general upper and lower bounds for various success measures, such as (entanglement) fidelity, are known, but some become trivial in higher dimensions. Here we construct a graph-theoretic algebra (a subset of Temperley-Lieb algebra) which allows us to explicitly compute the higher-dimensional performance of PBT for so-called “pretty-good measurements” with negligible representational overhead. This graphical algebra allows us to explicitly compute the success probability to distinguish the different outcomes and fidelity for arbitrary dimension d and low number of ports N, obtaining in addition a simple upper bound. The results for low N and arbitrary d show that the entanglement fidelity asymptotically approaches N/d^2 for large d, confirming the performance of one lower bound from the literature.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Authors, 2016 |
Keywords: | Port-based teleportation,Quantum information |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Computer Science (York) |
Funding Information: | Funder Grant number EPSRC UNSPECIFIED |
Depositing User: | Pure (York) |
Date Deposited: | 21 Sep 2016 10:59 |
Last Modified: | 18 Dec 2024 00:07 |
Published Version: | https://doi.org/10.1038/srep33004 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1038/srep33004 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:104910 |