Perfect tight quantum teleportation without a shared reference

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Perfect tight quantum teleportation without a shared reference. / Verdon, Dominic ; Vicary, Jamie.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 98, No. 1, 012306, 09.07.2018.

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@article{c3ee55e4c0a147ff881ff64765b92424,
title = "Perfect tight quantum teleportation without a shared reference",
abstract = "We present a new 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 changesin reference frame alignment while the protocol is underway. 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.",
author = "Dominic Verdon and Jamie Vicary",
year = "2018",
month = jul,
day = "9",
doi = "10.1103/PhysRevA.98.012306",
language = "English",
volume = "98",
journal = "Physical Review A",
issn = "1050-2947",
publisher = "American Physical Society (APS)",
number = "1",

}

RIS

TY - JOUR

T1 - Perfect tight quantum teleportation without a shared reference

AU - Verdon, Dominic

AU - Vicary, Jamie

PY - 2018/7/9

Y1 - 2018/7/9

N2 - We present a new 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 changesin reference frame alignment while the protocol is underway. 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.

AB - We present a new 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 changesin reference frame alignment while the protocol is underway. 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.

U2 - 10.1103/PhysRevA.98.012306

DO - 10.1103/PhysRevA.98.012306

M3 - Article

VL - 98

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 1

M1 - 012306

ER -