Related Experiment Video
Updated: Mar 16, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Minimum Dimension of a Hilbert Space Needed to Generate a Quantum Correlation
Jamie Sikora1,2, Antonios Varvitsiotis1,2,3, Zhaohui Wei1,2,3
1Centre for Quantum Technologies, National University of Singapore, Singapore 117543.
Abstract:
Consider a two-party correlation that can be generated by performing local measurements on a bipartite quantum system. A question of fundamental importance is to understand how many resources, which we quantify by the dimension of the underlying quantum system, are needed to reproduce this correlation. In this Letter, we identify an easy-to-compute lower bound on the smallest Hilbert space dimension needed to generate a given two-party quantum correlation. We show that our bound is tight on many well-known correlations and discuss how it can rule out correlations of having a finite-dimensional quantum representation. We show that our bound is multiplicative under product correlations and also that it can witness the nonconvexity of certain restricted-dimensional quantum correlations.
Related Concept Videos
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)
2D NMR: Overview of Heteronuclear Correlation Techniques
The Quantum-Mechanical Model of an Atom
Quantum Numbers
The Uncertainty Principle
The Pauli Exclusion Principle

