1,721,008 research outputs found
Characterizing the depolarizing quantum channel in terms of Riemannian geometry
No full textWe explore the conceptual usefulness of Riemannian geometric tools induced by the statistical concept of distinguishability in quantifying the effect of a depolarizing channel on quantum states. Specifically, we compare the geometries of the interior of undeformed and deformed Bloch spheres related to density operators on a two-dimensional Hilbert space. We show that randomization emerges geometrically through a smaller infinitesimal quantum line element on the deformed Bloch sphere while the uniform contraction manifests itself via a deformed set of geodesics where the spacial components of the deformed four-Bloch vector are simply the contracted versions of the undeformed Bloch vector components
Quantum stabilizer codes embedding qubits into qudits
No full textWe study, by means of the stabilizer formalism, a quantum error correcting code which is alternative to the standard block codes since it embeds a qubit into a qudit. The code exploits the noncommutative geometry of discrete phase space to protect the qubit against both amplitude and phase errors. The performance of this code is evaluated on Weyl channels by means of the entanglement fidelity as a function of the error probability. A comparison with standard block codes, like five- and seven-qubit stabilizer codes, shows its superiority
Idrocarburi clorurati volatili e trialometani nelle acque. Miglioramenti nella determinazione analitica e valutazioni ambientali.
No full textQuantifying the complexity of geodesic paths on curved statistical manifolds through information geometric entropies and Jacobi fields
No full textOn Grover's search algorithm from a quantum information geometry view point
No full textWe present an information geometric characterization of Grover’s quantum search
algorithm. First, we quantify the notion of quantum distinguishability between parametric
density operators by means of the Wigner–Yanase quantum information metric. We then
show that the quantum searching problem can be recast in an information geometric
framework where Grover’s dynamics is characterized by a geodesic on the manifold of
the parametric density operators of pure quantum states constructed from the continuous
approximation of the parametric quantum output state in Grover’s algorithm. We also
discuss possible deviations from Grover’s algorithm within this quantum information
geometric setting
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