Classical Cost of Transmitting a Qubit
(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.
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https://lup.lub.lu.se/record/af7b58a1-e0f5-4d77-a209-41f596e9e6ce
- author
- Renner, Martin J. ; Tavakoli, Armin LU and Quintino, Marco Túlio
- organization
- publishing date
- 2023
- 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
-
- pmid:37027876
- scopus:85151280574
- 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
- 2024-06-30 06:48:12
@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}}, }