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Dimension witnesses and quantum state discrimination
Nicolas Brunner1, Miguel Navascués2, Tamás Vértesi3
1Département de Physique Théorique, Université de Genève, 1211 Genève, Switzerland and H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom.
Physical Review Letters
|August 29, 2014
Summary
We developed new dimension witnesses to test quantum systems of any size device-independently. These witnesses link quantum state discrimination and can differentiate classical from quantum systems for quantum information processing.
Area of Science:
- Quantum Information Science
- Quantum Foundations
Background:
- Device-independent testing is crucial for verifying quantum systems without trusting experimental apparatus.
- Understanding the dimensionality of quantum systems is fundamental to quantum mechanics.
Purpose of the Study:
- To introduce simple and general dimension witnesses for quantum systems of arbitrary Hilbert space dimension.
- To establish a connection between dimension witnesses and quantum state discrimination.
- To enable the distinction between classical and quantum systems of the same dimension.
Main Methods:
- Development of novel dimension witnesses applicable to any Hilbert space dimension.
- Leveraging principles of quantum state discrimination for witness design.
- Testing the ability of witnesses to differentiate classical and quantum systems.
Main Results:
- Successfully proposed simple and general dimension witnesses for arbitrary dimensional quantum systems.
- Demonstrated a strong theoretical link between dimension witnesses and quantum state discrimination.
- Showcased the capability of these witnesses to distinguish classical from quantum systems.
Conclusions:
- The presented dimension witnesses offer a versatile tool for characterizing quantum systems.
- The established link with quantum state discrimination opens new avenues for research.
- These dimension witnesses have potential applications in quantum information processing and fundamental quantum tests.
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