291 research outputs found
On Measures and Measurements: a Fibre Bundle approach to Contextuality
Contextuality is the failure of "local" probabilistic models to become global
ones. In this paper we introduce the notions of \emph{measurable fibre
bundles}, \emph{probability fibre bundles}, and \emph{sample fibre bundle}
which capture and make precise the former statement. The central notions of
contextuality are discussed under this formalism, examples worked out, and some
new aspects pointed out.Comment: 14 pages; no figures; Purdue-Winer Memorial Lectures 2018; submitted
to Phil. Trans. Roy. Soc. A. Comments are very welcom
How to Extract Entanglement from a Piece of Solid or a Bunch of Neutrons
We review how to obtain spin entangled pairs of fermions from a Fermi gas. An
experiment with neutrons is proposed in order to get such pairs.Comment: Prepared for the Proceedings of Central European Workshop on Quantum
Optics, Vienna - 200
Continuous Quantum Error Correction Through Local Operations
We propose local strategies to protect global quantum information. The
protocols, which are quantum error correcting codes for dissipative systems,
are based on environment measurements, direct feedback control and simple
encoding of the logical qubits into physical qutrits whose decaying transitions
are indistinguishable and equally probable. The simple addition of one extra
level in the description of the subsystems allows for local actions to fully
and deterministically protect global resources, such as entanglement. We
present codes for both quantum jump and quantum state diffusion measurement
strategies and test them against several sources of inefficiency. The use of
qutrits in information protocols suggests further characterization of
qutrit-qutrit disentanglement dynamics, which we also give together with simple
local environment measurement schemes able to prevent distillability sudden
death and even enhance entanglement in situations in which our feedback error
correction is not possible.Comment: Accepted for publication in Phys. Rev.
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