Paul B. Slater

Master Lovas–Andai and equivalent formulas verifying the \(\frac{8}{33}\) two-qubit Hilbert–Schmidt separability probability and companion rational-valued conjectures

We begin by investigating relationships between two forms of Hilbert–Schmidt two-rebit and two-qubit “separability functions”—those recently advanced by Lovas and Andai (J Phys A Math Theor 50(29):295303, 2017), and those earlier presented by Slater (J Phys A 40(47):14279, 2007). In the Lovas–Andai framework, the independent variable

Hall normalization constants for the Bures volumes of the n-state quantum systems

\varepsilon \in [0,1]

Essentially all Gaussian two-party quantum states are a priori nonclassical but classically correlated

ε∈[0,1] is the ratio

Sensitivity of estimates of the volume of the set of separable states to the choice of "uniform" distributions

\sigma (V)

Metric-dependent probabilities that two qubits are separable

σ(V) of the singular values of the