Economical ontological models for discrete quantum systems

Abstract

I use the recently proposed framework of ontological models [Harrigan et al., arXiv:0709.1149v2] to obtain economical models for results of tomographically complete sets of measurements on finite-dimensional quantum systems. I describe a procedure that simplifies the models by decreasing the number of necessary ontic states, and present an explicit model with just 33 ontic states for a qutrit.

6 pages, 2 figures. v2: erroneous claim removed, compression method improved, reference added

References in corpus (6)

• Negativity and contextuality are equivalent notions of nonclassicality
• A generalized no-broadcasting theorem
• Exponential complexity and ontological theories of quantum mechanics
• Wigner Functions and Separability for Finite Systems
• Quantum Computing and Hidden Variables I: Mapping Unitary to Stochastic Matrices
• Efficient Hidden-Variable Simulation of Measurements in Quantum Experiments

Cited by in corpus (7)

• Device-independent tests of classical and quantum dimensions
• Distinct Quantum States Can Be Compatible with a Single State of Reality
• Memory cost of quantum contextuality
• Leggett-Garg Macrorealism and temporal correlations
• State space dimensionality in short memory hidden variable theories
• Generalised state spaces and non-locality in fault tolerant quantum computing schemes
• Experimental Device-Independent Tests of Classical and Quantum Entropy