Finitely Correlated Pure States

Reinhard F. Werner

Sho Sugiura, Akira Shimizu

An equilibrium state can be represented by a pure quantum state, which we call a thermal pure quantum (TPQ) state. We propose a new TPQ state and a simple method of obtaining it. A single realization of the TPQ state suffices for calculating all statistical-mechanical properties, including correlation functions and genuine thermodynamic variables, of a quantum system at finite temperature.

V. V. Dodonov, E.V. Kurmyshev, Vladimir I. Man’ko

Taku Matsui

We give a characterization of pure finitely correlated states (quantum Markov states) as zero energy states of UHF algebras.

Richard V. Kadison, I. M. Singer