Communication Cost of Simulating Bell Correlations

2003/04/30 by Ben Toner, B. F. Toner, D. Bacon +1 · 8 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physrevlett.91.187904

published as Phys. Rev. Lett. 91, 187904 (2003) · 4 pages, 2 figures; reference added

openalex publication_date 2003/10/31 · arxiv created 2003/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

What classical resources are required to simulate quantum correlations? For the simplest and most important case of local projective measurements on an entangled Bell pair state, we show that exact simulation is possible using local hidden variables augmented by just one bit of classical communication. Certain quantum teleportation experiments, which teleport a single qubit, therefore admit a local hidden variables model.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Experimental Realization of Einstein-Podolsky-Rosen-Bohm<i>Gedankenexperiment</i>: A New Violation of Bell's Inequalities

Cited by

• Can outcome communication explain Bell nonlocality?
• Photonic Simulation of Beyond-Quantum Nonlocal Correlations (e.g. Popescu-Rohrlich Box) with Non-Signaling Quantum Resources
• Simulating Quantum Correlations with Finite Communication
• Applications of Monotone Rank to Complexity Theory
• Simulation of Quantum Correlation Functions is not Sufficient Resource\n to Describe Quantum Entanglement
• Nonlocality in Remote State Preparation vis-a-vis Teleportation
• No extension of quantum theory can have improved predictive power
• Prepare-and-measure and entanglement simulation beyond qubits

Related

• On The Complete Description Of Entangled Systems Part I: Hidden Variables And The Context Communication Cost of Simulating Quantum Correlations
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• Two theorems of Jhon Bell and Communication Complexity
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