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Updated: Jun 12, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Operator space theory: a natural framework for bell inequalities
M Junge1, C Palazuelos, D Pérez-García
1Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-2975, USA.
Abstract:
In this Letter we show that the field of operator space theory provides a general and powerful mathematical framework for arbitrary Bell inequalities, in particular, regarding the scaling of their violation within quantum mechanics. We illustrate the power of this connection by showing that bipartite quantum states with local, Hilbert space dimension n can violate a Bell inequality by a factor of order sqrt[n]/(log{2}n) when observables with n possible outcomes are used. Applications to resistance to noise, Hilbert space dimension estimates, and communication complexity are given.
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