Entanglement Dissipation: Unitary and Non-unitary Processes

Unitary and Non-Unitary Evolution in Quantum Cosmology

We analyse when and why unitarity violations might occur in quantum cosmology restricted to minisuperspace. To this end we discuss in detail backscattering transitions between expanding and contracting solutions of the Wheeler-DeWitt equation. We first show that upon neglecting only backscattering, one obtains an intermediate regime in which matter evolves unitarily but which does not correspon...

Entanglement quantification by local unitary operations

A. Monras,1 G. Adesso,2 S. M. Giampaolo,1 G. Gualdi,1 G. B. Davies,2 and F. Illuminati1,* 1Dipartimento di Matematica e Informatica, Università degli Studi di Salerno, CNISM, Unità di Salerno, and INFN, Sezione di Napoli-Gruppo Collegato di Salerno, Via Ponte don Melillo, I-84084 Fisciano (SA), Italy 2School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD...

Non Unitary Random Walks

Motivated by the recent refutation of information loss paradox in black hole by Hawking, we investigate the new concept of non unitary random walks. In a non unitary random walk, we consider that the state 0, called the black hole, has a probability weight that decays exponentially in e−λt for some λ > 0. This decaying probabilities affect the probability weight of the other states, so that the...

Non-unitary Valuation Subalgebras

Embedding dissipation and decoherence in unitary evolution schemes.

Dissipation and decoherence, and the evolution from pure to mixed states in quantum physics, are handled through master equations for the density matrix. By embedding elements of this matrix in a higher-dimensional Liouville-Bloch equation, the methods of unitary integration are adapted to solve for the density matrix as a function of time, including the nonunitary effects of dissipation and de...