Classical Cost of Transmitting a Qubit

Autor(en)

Martin J. Renner, Armin Tavakoli, Marco Túlio Quintino

Abstrakt

We consider general prepare-and-measure scenarios in which Alice can transmit qubit states to Bob, who can perform general measurements in the form of positive operator-valued measures (POVMs). We show that the statistics obtained in any such quantum protocol can be simulated by the purely classical means of shared randomness and two bits of communication. Furthermore, we prove that two bits of communication is the minimal cost of a perfect classical simulation. In addition, we apply our methods to Bell scenarios, which extends the well-known Toner and Bacon protocol. In particular, two bits of communication are enough to simulate all quantum correlations associated to arbitrary local POVMs applied to any entangled two-qubit state.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Österreichische Akademie der Wissenschaften (ÖAW), Technische Universität Wien, Lund University, Icm & Sorbonne University

Journal

Physical Review Letters

Band

130

Anzahl der Seiten

7

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.130.120801

Publikationsdatum

03-2023

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/60ff33ff-bff8-4ad7-8107-0f9fcc50473c