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Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation

Hemant K. Mishra1,2, Samad Khabbazi Oskouei3, and Mark M. Wilde1,2

  • 1Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, and Center for Computation and Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA
  • 2School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA
  • 3Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin 33817-7489, Iran

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Phys. Rev. A 107, 062603 – Published 2 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062603

Abstract

Continuous-variable (CV) teleportation is a fundamental protocol in quantum information science. A number of experiments have been designed to simulate ideal teleportation under realistic conditions. In this paper, we detail an analytical approach for determining optimal input states for quantifying the performance of CV unidirectional and bidirectional teleportation. The metric that we consider for quantifying performance is the energy-constrained channel fidelity between ideal teleportation and its experimental implementation, and along with this, our focus is on determining optimal input states for distinguishing the ideal process from the experimental one. We prove that, under certain energy constraints, the optimal input state in unidirectional as well as bidirectional teleportation is a finite entangled superposition of twin-Fock states saturating the energy constraint. Moreover, we also prove that, under the same constraints, the optimal states are unique; that is, there is no other optimal finite entangled superposition of twin-Fock states.

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Phys. Rev. A 107, 062603– Published 2 June, 2023
  • Received 4 February 2023
  • Accepted 19 April 2023
Article part of CHORUS
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