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Enhancement of entanglement concentration using catalysts
Siddhartha Santra1, Vladimir S Malinovsky1
1US Army Research Laboratory, Adelphi, Maryland 20783, USA.
The Journal of Chemical Physics
|April 9, 2021
Summary
Pure quantum entangled states can act as catalysts to improve the success of entanglement transformations. This study shows catalysts enhance entanglement concentration probabilities for two-qubit states, with optimal catalysts found analytically.
Area of Science:
- Quantum Information Science
- Quantum Entanglement
- Quantum Computation
Background:
- Bipartite entanglement transformations are crucial in quantum information processing.
- Auxiliary quantum entangled states, known as catalysts, can assist these transformations.
- Catalysts can potentially enhance the efficiency and success probability of entanglement manipulation.
Purpose of the Study:
- To investigate the role of pure quantum entangled states as catalysts in bipartite entanglement transformations.
- To quantify the enhancement in success probability for entanglement concentration using catalyst states.
- To determine optimal catalysts and derive analytical expressions for maximum transformation probabilities.
Main Methods:
- Utilizing bipartite local quantum operations and classical communication (LOCC).
- Employing pure quantum entangled states as catalysts in entanglement concentration protocols.
- Analytical derivation of optimal two-qubit catalysts and transformation probabilities.
- Numerical demonstration of catalyst-assisted transformations with higher-dimensional catalysts.
Main Results:
- Catalyst-assisted entanglement concentration significantly enhances success probabilities compared to non-assisted protocols.
- Optimal two-qubit catalysts and maximum transformation probabilities were determined analytically.
- Numerical simulations confirmed enhanced success probabilities using higher-dimensional catalysts.
- Catalyst-aided strategies were explored for generating multiple maximally entangled states.
Conclusions:
- Pure quantum entangled states effectively catalyze bipartite entanglement transformations, notably entanglement concentration.
- The use of catalysts offers a viable pathway to improve the efficiency of creating maximally entangled states.
- Analytical and numerical methods confirm the advantage of catalyst-assisted quantum information processing.
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