Tight quantum teleportation without a shared reference frame

Dominic Verdon and Jamie Vicary
Phys. Rev. A 98, 012306 – Published 9 July 2018

Abstract

We present a scheme for teleporting a quantum state between two parties whose local reference frames are misaligned by the action of a finite symmetry group. Unlike other proposals, our scheme requires the same amount of classical communication and entangled resources as conventional teleportation, does not reveal any reference frame information, and is robust against changes in reference frame alignment while the protocol is under way. The mathematical foundation of our scheme is a unitary error basis which is permuted up to a phase by the conjugation action of the group. We completely classify such unitary error bases for qubits, exhibit constructions in higher dimension, and provide a method for proving nonexistence in some cases.

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  • Received 3 October 2017
  • Revised 23 May 2018

DOI:https://doi.org/10.1103/PhysRevA.98.012306

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Dominic Verdon* and Jamie Vicary

  • Department of Computer Science, Wolfson Building, University of Oxford, Parks Road, Oxford OX1 3QD, United Kingdom

  • *dominic.verdon@cs.ox.ac.uk
  • jamie.vicary@cs.ox.ac.uk

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Issue

Vol. 98, Iss. 1 — July 2018

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