17-21 July 2017
Santiago de Compostela, Facultade de Química
Europe/Madrid timezone

Exact Quantum Change Point Detection

17 Jul 2017, 15:40
25m
Aula Química General (Facultad Química (USC))

Aula Química General

Facultad Química (USC)

Oral parallel contribution Quantum Information Quantum Information

Speaker

Dr. Gael Sentis (Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany)

Description

Sudden changes are ubiquitous in nature. Identifying them is crucial for a number of applications in biology, medicine, and social sciences. Here we take the problem of detecting sudden changes to the quantum domain. We consider a source that emits quantum particles in a default state, until a point where a mutation occurs that causes the source to switch to another state. The problem is then to find out where the change occurred. We determine the maximum probability of correctly identifying the change point, allowing for collective measurements on the whole sequence of particles emitted by the source. Then, we devise online strategies where the particles are measured individually and an answer is provided as soon as a new particle is received. We show that these online strategies substantially underperform the optimal quantum measurement, indicating that quantum sudden changes, although happening locally, are better detected globally.

Primary author

Dr. Gael Sentis (Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany)

Co-authors

Prof. Emili Bagan (Universidad Autónoma de Barcelona) Prof. Giulio Chiribella (The University of Hong Kong) Prof. John Calsamiglia (Universidad Autónoma de Barcelona) Prof. Ramon Muñoz Tapia (Universidad Autónoma de Barcelona)

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