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Port-based teleportation in arbitrary dimension.

Michał Studziński1, Sergii Strelchuk2, Marek Mozrzymas3

  • 1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Cambridge, CB30WA, UK.

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This study introduces new mathematical tools to analyze port-based teleportation (PBT) performance. The research enables efficient evaluation of PBT schemes for quantum state transfer in complex systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Communication Protocols

Background:

  • Port-based teleportation (PBT) offers quantum state transmission without receiver corrections.
  • Previous performance evaluations of PBT were computationally limited to small systems.

Purpose of the Study:

  • To fully characterize the performance of PBT protocols for arbitrary dimensions and number of ports.
  • To overcome computational intractability in PBT performance analysis.

Main Methods:

  • Development of novel mathematical tools to analyze symmetries of measurement operators.
  • Application of representation theory to the algebra of partially transposed permutation operators.
  • Introduction of partially reduced irreducible representations for simplified algebraic representation.

Main Results:

  • A complete characterization of PBT performance across arbitrary dimensions and ports.
  • An elegant framework for understanding subsystem properties in large, symmetric quantum systems.
  • Explicit determination of PBT scheme properties in polynomial time for fixed dimensions.

Conclusions:

  • The developed mathematical framework makes PBT performance evaluation computationally tractable.
  • This work provides a general method for analyzing any port-based teleportation scheme.
  • Enables efficient analysis of quantum state transfer protocols in complex quantum systems.