Work

Certifying the Dimension of Classical and Quantum Systems in a Prepare-and-Measure Scenario with Independent Devices

Year: 2014

Type: article

Abstract: We consider the problem of testing the dimension of uncharacterized classical and quantum systems in a prepare-and-measure setup. Here we assume the preparation and measurement devices to be independent, thereby making the problem nonconvex. We present a simple method for generating nonlinear dimension witnesses for systems of arbitrary dimension. The simplest of our witnesses is highly robust to technical imperfections, and can certify the use of qubits in the presence of arbitrary noise and arbitrarily low detection efficiency. Finally, we show that this witness can be used to certify the presence of randomness, suggesting applications in quantum information processing.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.112.140407

Authors: Joseph Bowles, Marco Túlio Quintino, Nicolas Brunner

Institutions: University of Geneva, University of Bristol

Language: English

Topic: Quantum Information and Cryptography

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Agence Nationale de la Recherche, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Engineering and Physical Sciences Research Council

Awards: G125160087, Device-Independent Quantum Information Processing, G307209972, Foundations and Applications of Quantum Mechanics