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Classical Cost of Transmitting a Qubit

Renner, Martin J. ; Tavakoli, Armin LU and Quintino, Marco Túlio (2023) In Physical Review Letters 130(12).
Abstract

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.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
130
issue
12
article number
120801
publisher
American Physical Society
external identifiers
  • scopus:85151280574
  • pmid:37027876
ISSN
0031-9007
DOI
10.1103/PhysRevLett.130.120801
language
English
LU publication?
yes
id
af7b58a1-e0f5-4d77-a209-41f596e9e6ce
date added to LUP
2023-05-23 10:00:11
date last changed
2024-04-19 23:06:36
@article{af7b58a1-e0f5-4d77-a209-41f596e9e6ce,
  abstract     = {{<p>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.</p>}},
  author       = {{Renner, Martin J. and Tavakoli, Armin and Quintino, Marco Túlio}},
  issn         = {{0031-9007}},
  language     = {{eng}},
  number       = {{12}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Classical Cost of Transmitting a Qubit}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.130.120801}},
  doi          = {{10.1103/PhysRevLett.130.120801}},
  volume       = {{130}},
  year         = {{2023}},
}