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Witnessing Irreducible Dimension
Wan Cong1, Yu Cai1, Jean-Daniel Bancal2
1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore.
Physical Review Letters
|September 28, 2017
Summary
We introduce irreducible dimension to quantify quantum system information processing capacity. This new measure can be certified, with a witness for irreducible dimension four demonstrated.
Area of Science:
- Quantum Information Science
- Quantum Foundations
Background:
- The Hilbert space dimension quantifies a quantum system's information content.
- Existing dimension witnesses may only confirm system presence, not processing capacity.
Purpose of the Study:
- To introduce a new concept, irreducible dimension, to capture the information processing capacity of quantum systems.
- To develop a method for certifying this irreducible dimension.
Main Methods:
- Definition of irreducible dimension for quantum behaviors.
- Development of a device-independent dimension witness.
Main Results:
- Irreducible dimension quantifies the essential information processing capacity.
- A witness for irreducible dimension four is provided.
Conclusions:
- Irreducible dimension offers a more meaningful measure of quantum information content than simple dimension.
- The developed witness enables experimental certification of this capacity.
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