Quantum optics in the phase space - A tutorial on Gaussian states

In this tutorial, we introduce the basic concepts and mathematical tools needed for phase-space description of a very common class of states, whose phase properties are described by Gaussian Wigner functions: the Gaussian states. In particular, we address their manipulation, evolution and characterization in view of their application to quantum information.Comment: Tutorial. 23 pages, 1 figure. Updated version accepted for publication in EPJ - ST devoted to the memory of Federico Casagrand

Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John von Neumann's 1929 Article on the Quantum Ergodic Theorem

The renewed interest in the foundations of quantum statistical mechanics in recent years has led us to study John von Neumann's 1929 article on the quantum ergodic theorem. We have found this almost forgotten article, which until now has been available only in German, to be a treasure chest, and to be much misunderstood. In it, von Neumann studied the long-time behavior of macroscopic quantum systems. While one of the two theorems announced in his title, the one he calls the "quantum H-theorem", is actually a much weaker statement than Boltzmann's classical H-theorem, the other theorem, which he calls the "quantum ergodic theorem", is a beautiful and very non-trivial result. It expresses a fact we call "normal typicality" and can be summarized as follows: For a "typical" finite family of commuting macroscopic observables, every initial wave function $\psi_0$ from a micro-canonical energy shell so evolves that for most times $t$ in the long run, the joint probability distribution of these observables obtained from $\psi_t$ is close to their micro-canonical distribution.Comment: 34 pages LaTeX, no figures; v2: minor improvements and additions. The English translation of von Neumann's article is available as arXiv:1003.213

p16INK4 expression in precursor lesions of squamous cell cervical cancer related to the presence of HPV-DNA

The purpose of the present study was to identify the expression of p16INK4 in cervical cancer precursor lesions by immunohistochemistry and to correlate it with lesion grade and presence of human papillomavirus (HPV) infection. Cervical specimens from 144 women seen consecutively at the gynecology outpatient clinic of our institution from December 2003 to May 2005 were analyzed by cytopathology, histopathology, polymerase chain reaction for HPV-DNA, and p16INK4 immunostaining. Histologically normal biopsies, HPV-DNA negative by polymerase chain reaction, were used as control. HPV-DNA prevalence, including the control group, was 68.1% and the prevalence of p16INK4 expression was 55.0%. The percentage of cells stained by p16INK4 ranged from 10 to 100%, both in the group consisting of cervical intraepithelial neoplasia (CIN)1/HPV specimens and in the group of CIN2/CIN3 specimens with P value of 0.0001. p16INK4 expression was 48.3% in the CIN1/HPV group, as opposed to 94.3% in the CIN2/CIN3 group (P = 0.001), showing a statistically significant difference between the two groups. The quantitative method used here is simple and less subjective than the different semiquantitative methods described in the literature. In view of the different definitions of a p16INK4-positive case, it is almost impossible to compare the findings reported by different investigators. This study confirms the association between p16INK4 and CIN2 and CIN3 lesions. Moreover, it shows that some low grade lesions expressed high levels of this protein. This may indicate that such low grade lesions may be predisposed to progress to high grade lesions. This means that p16INK4 may be a strong marker for "neoplastic lesions" induced by HPV and not just an infection marker

Assessment of proliferation of squamous, Barrett's and gastric mucosa in patients with columnar lined Barrett's oesophagus.

There is no satisfactory biomarker yet available for predicting the likelihood of premalignant changes or carcinoma developing in Barrett's or columnar lined oesophagus. In this study we have evaluated the proliferation of squamous epithelium, columnar epithelium from columnar lined oesophagus and gastric columnar epithelium from 23 Barrett's patients using positive immunoreactivity with the mouse monoclonal antibody Ki67 (which recognises an antigen associated with proliferative cells) with a view to using this parameter as a biomarker. Squamous epithelium had significantly higher Ki67 immunostaining as compared with columnar epithelium from columnar lined oesophagus (when examining the tissue with greater than 15% cells staining positive for Ki67, Fisher's exact test p = 0.004) but there was no difference found between the epithelium from the columnar lined oesophagus and gastric columnar epithelium. There was no correlation between histological inflammation and Ki67 immunoreactivity of Barrett's mucosa, and the Ki67 immunostaining of two patients with dysplasia was no different from the rest of the group. There was, however, a significant correlation between the Ki67 immunoreactivity of columnar epithelium from columnar lined oesophagus and columnar epithelium from the stomach (correlation coefficient = 0.44, p = 0.03) suggesting that epithelium from columnar lined oesophagus behaves in a similar fashion to gastric epithelium