Information-Disturbance Tradeoff in Quantum State Discrimination

When discriminating between two pure quantum states, there exists a quantitative tradeoff between the information retrieved by the measurement and the disturbance caused on the unknown state. We derive the optimal tradeoff and provide the corresponding quantum measurement. Such an optimal measurement smoothly interpolates between the two limiting cases of maximal information extraction and no measurement at all.Comment: 5 pages, 2 (low-quality) figures. Eq. (20) corrected. Final published versio

A minimum-disturbing quantum state discriminator

We propose two experimental schemes for quantum state discrimination that achieve the optimal tradeoff between the probability of correct identification and the disturbance on the quantum state.Comment: 9 pages, 1 figure, OSID style. Submitted to the special issue of "Open Systems and Information Dynamics", Proceedings of the "38th Symposium on Mathematical Physics", Torun, Poland, June 200

Quantum state decorrelation

We address the general problem of removing correlations from quantum states while preserving local quantum information as much as possible. We provide a complete solution in the case of two qubits, by evaluating the minimum amount of noise that is necessary to decorrelate covariant sets of bipartite states. We show that two harmonic oscillators in arbitrary Gaussian state can be decorrelated by a Gaussian covariant map. Finally, for finite-dimensional Hilbert spaces, we prove that states obtained from most cloning channels (e.g., universal and phase-covariant cloning) can be decorrelated only at the expense of a complete erasure of information about the copied state. More generally, in finite dimension, cloning without correlations is impossible for continuous sets of states. On the contrary, for continuos variables cloning, a slight modification of the customary set-up for cloning coherent states allows one to obtain clones without correlations.Comment: 11 pages, 2 figures, RevTex

Evidence for the interaction of d-amino acid oxidase with pLG72 in a glial cell line.

Accumulating genetic evidence indicates that the primate-specific gene locus G72/G30 is related to schizophrenia: it encodes for the protein pLG72, whose function is still the subject of controversy. We recently demonstrated that pLG72 negatively affects the activity of human d-amino acid oxidase (hDAAO, also related to schizophrenia susceptibility), which in neurons and (predominantly) in glia is expected to catabolize the neuromodulator d-serine. The d-serine regulation mechanism relying on hDAAO-pLG72 interaction does not match with the subcellular localizations proposed for hDAAO (peroxisomes) and pLG72 (mitochondria). By using glioblastoma U87 cells transfected with plasmids encoding for hDAAO and/or pLG72 we provide convergent lines of evidence that newly synthesized hDAAO, transitorily present in cytosol before being delivered to the peroxisomes, colocalizes and interacts with pLG72 which we propose to be exposed on the external membrane of mitochondria. We also report that newly synthesized cytosolic hDAAO is catalytically active, and therefore pLG72 binding-and ensuing hDAAO inactivation-plays a protective role against d-serine depletion

Characterization of tomographically faithful states in terms of their Wigner function

A bipartite quantum state is tomographically faithful when it can be used as an input of a quantum operation acting on one of the two quantum systems, such that the joint output state carries a complete information about the operation itself. Tomographically faithful states are a necessary ingredient for tomography of quantum operations and for complete quantum calibration of measuring apparatuses. In this paper we provide a complete classification of such states for continuous variables in terms of the Wigner function of the state. For two-mode Gaussian states faithfulness simply resorts to correlation between the modes.Comment: 9 pages. IOPAMS style. Some improvement

A Parallel Preconditioner for 2D Elliptic Boundary Value Problems

This work presents the implementation on a Linux Cluster of a parallel preconditioner for the solution of the linear system resulting from the finite element discretization of a 2D second order elliptic boundary value problem. The numerical method, proposed by Bramble, Pasciak and Schatz, is developed using Domain Decomposition techniques, which are based on the splitting of the computational domain into subregions of smaller size, enforcing suitable compatibility conditions. The Fortran code is implemented using PETSc: a suite of data structures and routines devoted to the scientific parallel computing and based on the MPI standard for all message-passing communications. The main interest of the paper is to investigate how the architectural aspects of the cluster influence the performance of the considered algorithm. We provide an analysis of the execution times as well as of the scalability, using as test case the classical Poisson equation with Dirichlet boundary conditions

Flood Historical Data for Flood Risk Estimation in Coastal Areas, Eastern Tyrrhenian Sea, Italy

A reconstruction of historical floods occurred along the Amalfi coast, during the last five 7 centuries is presented. The analysis of historical sources allowed to achieve a chronological 8 reconstruction of more than 100 floods, four of which classified as catastrophic events. In this 9 task, the level of information was decisive to carry out space–time identification, estimate the 10 affected area and define the type of damage to the structures, and the environment (e.g. mud 11 flow, debris flow, rock falls, shoreline progradation, fan deltas), which may be relevant for the 12 recognition of similar events within the geologic record. The magnitude of the events was 13 finally estimated, taking into account the size of the areas affected by flooding as well as the 14 type of effects induced on the urban and physical environment and the recurrence intervals

The use of documentary sources for reconstructing flood chronologies on the Amalfi rocky coast (southern Italy)

Documentary source materials are essential for retrospective reconstruction of flood events occurring in past centuries. This paper presents methods of research and archiving of historical data from the 16th century to the present. The quality and completeness of the various original sources were evaluated and carefully analysed in their historical context, to avoid serious mistakes. Systematic investigation of about 3000 documents, mainly found in national State Archives and libraries, allows us to identify and localize at least 106 flood events occurring along the Amalfi coast (southern Italy) for five centuries between the years 1500 and 2000. The collected data provide useful details on flood dynamics, size of flooded areas, flood duration, damage level, number of victims and induced geological effects. When available in sufficient quantity, the flood data allow determination of very useful parameters such as the severity class, to identify large floods and their recurrence interval

Phase-covariant cloning of coherent states

We consider the problem of phase-covariant cloning for coherent states. We show that an experimental scheme based on ideal phase measurement and feedforward outperforms the semiclassical procedure of ideal phase measurement and preparation in terms of fidelity. A realistic scheme where the ideal phase measurement is replaced with double-homodyne detection is shown to be unable to overcome the semiclassical cloning strategy. On the other hand, such a realistic scheme is better than semiclassical cloning based on double-homodyne phase measurement and preparation.Comment: 6 pages, 2 figures; updated references and minor corrections; in press on Physical Review