We present a formula that determines the optimal number of qubits per message that allows asymptotically faithful compression of the quantum information carried by an ensemble of mixed states. The set of mixed states determines a decomposition of the Hilbert space into the redundant part and the irreducible part. After removing the redundancy, the optimal compression rate is shown to be given b...

Determination of porosity, permeability, and pore volume compressibility of reservoir rocks and those variations with effective stress changes are of great interest in petroleum engineering. This paper has studied the influence of pore types of carbonate reservoir rocks on pore volume compressibility as well as Klinkenberg permeability and porosity at different stress values. In the current stu...

This paper reports density and speed of sound data for solutions of the ionic liquids (ILs) [C4mim]Cl and [C4mim][CF3SO3] in aqueous solution of 0.05 w/w amino acids of alanine, serine and proline at T = (288.15, 298.15, 308.15 and 318.15) K. From the experimental data measured, the apparent molar volume (Vϕ), isentropic compressibility ( ), and apparent molar isentropic compression ( ) have be...

Tensors are often compressed by expressing them in data-sparse tensor formats, where storage costs such formats less than those the original structure. In this paper, we develop three methodologies that bound compressibility of a tensor: (1) Algebraic structure, (2) smoothness, and (3) displacement For each methodology, derive bounds on various low rank partially explain abundance compressible ...

A numerical test of isotropic turbulence compressibility reduction with helicity in a cyclic box is performed. The ratios compressibility-relevant-mode spectra over those kinetic energy present power laws at large wavenumbers the dissipation range, indicating common difference 11/15 exponents algebraic prefactor nonhelical helical ones. Our results being not derived from shapes themselves, impl...