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Local indistinguishability: more nonlocality with less entanglement
Michał Horodecki1, Aditi Sen, Ujjwal Sen
1Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952 Gdańsk, Poland.
Physical Review Letters
|February 7, 2003
Summary
We developed a method to check local indistinguishability for orthogonal quantum states. This allows for more nonlocality with less entanglement, showing a unique case of locally indistinguishable states.
Area of Science:
- Quantum Information Theory
- Quantum Foundations
Background:
- Local indistinguishability is a key concept in quantum information.
- Previous work focused on mixed states; this study addresses pure states.
Purpose of the Study:
- To develop an operational method for checking local indistinguishability of orthogonal pure states.
- To explore the relationship between entanglement and nonlocality in this context.
Main Methods:
- The method is based on probabilistic local distinguishing.
- It analyzes complete multipartite orthogonal bases and product vectors.
Main Results:
- Probabilistic local distinguishing is possible if and only if all vectors are product states.
- A specific example demonstrates local indistinguishability for 3 orthogonal states in a 3x3 system.
- This represents the first known instance of d locally indistinguishable orthogonal states in a d x d system.
Conclusions:
- The new method provides a way to quantify nonlocality via local indistinguishability.
- The findings highlight a scenario with increased nonlocality achieved with reduced entanglement.
- This work establishes a unique benchmark for locally indistinguishable quantum states.