Year: 2023
Type: article
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.
Source: Physical Review Letters
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funders: John Templeton Foundation, Foundational Questions Institute, Wenner-Gren Stiftelserna, European Commission, Austrian Science Fund, Knut och Alice Wallenbergs Stiftelse, Bundesministerium für Bildung, Wissenschaft und Forschung, Horizon 2020 Framework Programme, Wallenberg Center for Quantum Technology, Chalmers University of Technology, H2020 Marie Skłodowska-Curie Actions
OpenAlex ID: W4353093203