Numerical Computations of Separability Probabilities

TL;DR

This paper uses extensive Monte Carlo sampling to estimate the probability that bipartite quantum states are separable, supporting conjectured rational probability values across rebits, qubits, and quaterbits.

Contribution

It provides large-scale numerical estimates of separability probabilities for different quantum systems, supporting existing conjectures with extensive sampling.

Findings

Probabilities strongly support conjectured rational values.

Sampling of 5×10^{11} points for each case.

Results reinforce prior theoretical conjectures.

Abstract

We compute the probability that a bipartite quantum state is separable by Monte Carlo sampling. This is carried out for rebits, qubits and quaterbits. We sampled $5\times 10^{11}$ points for each of these three cases. The results strongly support conjectures for certain rational values of these probabilities that have been found by other methods.