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Trapped Ion Quantum Computing
Device-independent tests of classical and quantum dimensions
arXiv
Authors: Rodrigo Gallego, Nicolas Brunner, Christopher Hadley, Antonio Acin
Year
2010
Paper ID
10711
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
We address the problem of testing the dimensionality of classical and quantum systems in a `black-box' scenario. We develop a general formalism for tackling this problem. This allows us to derive lower bounds on the classical dimension necessary to reproduce given measurement data. Furthermore, we generalise the concept of quantum dimension witnesses to arbitrary quantum systems, allowing one to place a lower bound on the Hilbert space dimension necessary to reproduce certain data. Illustrating these ideas, we provide simple examples of classical and quantum dimension witnesses.
Why This Paper Matters
- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- We address the problem of testing the dimensionality of classical and quantum systems in a `black-box' scenario.
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