Prof Vlatko Vedral FInstP

Abstract:

A model of a thermal spin state entering a beam splitter generating entanglement was presented. A method for the generation of distillable entanglement from mixed states unitarily which utilizes the flexibility of dimension of occupied Hilbert space was also suggested. It was observed that entanglement generation was due to the truncation of the thermal spin state. The results show that the more entanglement can be generated at the higher input temperature.

Abstract:

We give a closed-form solution of von Neumann entropy as a function of geometric phase modulated by visibility and average distinguishability in Hubert spaces of two and three dimensions. We show that the same type of dependence also exists in higher dimensions albeit with other terms. For non-maximal mixing, the results become more involved and generally depend also on the probability of the states. We also outline a method for measuring both the entropy and the phase experimentally using a simple Mach-Zehnder-type interferometer which explains physically why the two concepts are related.