2,594 research outputs found
Information Geometric Modeling of Scattering Induced Quantum Entanglement
We present an information geometric analysis of entanglement generated by an
s-wave scattering between two Gaussian wave packets. We conjecture that the pre
and post-collisional quantum dynamical scenarios related to an elastic head-on
collision are macroscopic manifestations emerging from microscopic statistical
structures. We then describe them by uncorrelated and correlated Gaussian
statistical models, respectively. This allows us to express the entanglement
strength in terms of scattering potential and incident particle energies.
Furthermore, we show how the entanglement duration can be related to the
scattering potential and incident particle energies. Finally, we discuss the
connection between entanglement and complexity of motion.Comment: 7 pages; v2 is better than v
The Effect Of Microscopic Correlations On The Information Geometric Complexity Of Gaussian Statistical Models
We present an analytical computation of the asymptotic temporal behavior of
the information geometric complexity (IGC) of finite-dimensional Gaussian
statistical manifolds in the presence of microcorrelations (correlations
between microvariables). We observe a power law decay of the IGC at a rate
determined by the correlation coefficient. It is found that microcorrelations
lead to the emergence of an asymptotic information geometric compression of the
statistical macrostates explored by the system at a faster rate than that
observed in absence of microcorrelations. This finding uncovers an important
connection between (micro)-correlations and (macro)-complexity in Gaussian
statistical dynamical systems.Comment: 12 pages; article in press, Physica A (2010)
Full Body Interaction beyond Fun: Engaging Museum Visitors in Human-Data Interaction
Engaging museum visitors in data exploration using full-body interaction is still a challenge. In this paper, we explore four strategies for providing entry-points to the interaction: instrumenting the floor; forcing collaboration; implementing multiple body movements to control the same effect; and, visualizing the visitors' silhouette beside the data visualization. We discuss preliminary results of an in-situ study with 56 museum visitors at Discovery Place, and provide design recommendations for crafting engaging Human-Data Interaction experiences
Concatenation of Error Avoiding with Error Correcting Quantum Codes for Correlated Noise Models
We study the performance of simple error correcting and error avoiding
quantum codes together with their concatenation for correlated noise models.
Specifically, we consider two error models: i) a bit-flip (phase-flip) noisy
Markovian memory channel (model I); ii) a memory channel defined as a memory
degree dependent linear combination of memoryless channels with Kraus
decompositions expressed solely in terms of tensor products of X-Pauli
(Z-Pauli) operators (model II). The performance of both the three-qubit bit
flip (phase flip) and the error avoiding codes suitable for the considered
error models is quantified in terms of the entanglement fidelity. We explicitly
show that while none of the two codes is effective in the extreme limit when
the other is, the three-qubit bit flip (phase flip) code still works for high
enough correlations in the errors, whereas the error avoiding code does not
work for small correlations. Finally, we consider the concatenation of such
codes for both error models and show that it is particularly advantageous for
model II in the regime of partial correlations.Comment: 16 pages, 3 figure
A simple comparative analysis of exact and approximate quantum error correction
We present a comparative analysis of exact and approximate quantum error
correction by means of simple unabridged analytical computations. For the sake
of clarity, using primitive quantum codes, we study the exact and approximate
error correction of the two simplest unital (Pauli errors) and nonunital
(non-Pauli errors) noise models, respectively. The similarities and differences
between the two scenarios are stressed. In addition, the performances of
quantum codes quantified by means of the entanglement fidelity for different
recovery schemes are taken into consideration in the approximate case. Finally,
the role of self-complementarity in approximate quantum error correction is
briefly addressed.Comment: 29 pages, 1 figure, improved v2; accepted for publication in Open
Systems and Information Dynamics (2014
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