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Updated: Jul 25, 2025
00:07
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Optimal High-Dimensional Entanglement Concentration for Pure Bipartite Systems
Lukas Palma Torres1, Miguel Ángel Solís-Prosser1, Omar Jiménez2
1Departamento de Ciencias Físicas, Facultad de Ingeniería y Ciencias, Universidad de La Frontera, Avenida Francisco Salazar 01145, Temuco 4811230, Chile.
Micromachines
|June 28, 2023
Summary
This study explores entanglement concentration for quantum systems. Two methods were developed to improve success probability for high-dimensional bipartite states, achieving higher entanglement at the cost of maximal entanglement.
Area of Science:
- Quantum Information Science
- Quantum Entanglement
- Quantum State Engineering
Background:
- Entanglement concentration aims to distill higher entanglement from multiple copies of quantum states.
- Maximally entangled states are ideal but difficult to achieve probabilistically for high-dimensional systems.
- Existing methods face low success probabilities with increasing system dimensionality.
Purpose of the Study:
- To investigate two novel methods for probabilistic entanglement concentration in high-dimensional bipartite quantum systems.
- To achieve a reasonable success probability for entanglement concentration with N=1 copy.
- To balance entanglement amount and success probability for practical applications.
Main Methods:
- Developed an efficiency function Q balancing I-Concurrence and success probability.
- Solved a quadratic optimization problem to find an analytical solution for optimal entanglement concentration.
- Explored a second method by fixing success probability to maximize attainable entanglement.
Main Results:
- An analytical solution for optimal entanglement concentration in terms of Q was found.
- Both methods yield non-maximally entangled states, similar to the Procrustean method.
- Demonstrated a tradeoff between entanglement quality and success probability.
Conclusions:
- Optimal schemes for entanglement concentration can be systematically found using the efficiency function Q.
- The proposed methods offer practical approaches for enhancing entanglement in high-dimensional quantum systems.
- Non-maximal entanglement states can be effectively concentrated with improved success rates.
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