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Updated: May 8, 2025
09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
14.4K
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states
Steph Foulds1,2, Oliver Prove2, Viv Kendon1,2
1Physics Department, University of Strathclyde, Glasgow G4 0NG, UK.
Summary
This study enhances the controlled SWAP test for detecting quantum entanglement, making it robust for mixed states and applicable to higher-dimensional systems like qudits and optical states.
Area of Science:
- Quantum Information Science
- Quantum Optics
- Quantum Computing
Background:
- The controlled SWAP (c-SWAP) test efficiently detects and quantifies entanglement in pure qubit states.
- Concentratable Entanglement (CE) is a related measure crucial for quantum information processing.
- Existing methods face challenges with mixed states and higher-dimensional systems.
Purpose of the Study:
- Extend the c-SWAP test and CE measure for practical quantum information applications.
- Develop robust bounds for mixed-state CE, resilient to c-SWAP test errors.
- Validate CE as a higher-dimensional entanglement measure.
Main Methods:
- Investigated lower bounds of concentratable entanglement.
- Conjectured an upper bound for mixed-state CE robust to c-SWAP test errors.
- Calculated CE for higher-dimensional states (qudits, entangled optical states).
Main Results:
- The c-SWAP test and CE are made suitable for characterizing entanglement in mixed experimental states.
- A conjectured upper bound for mixed-state CE offers robustness against c-SWAP test errors.
- CE is validated as a versatile measure for higher-dimensional entanglement.
Conclusions:
- This work enhances the applicability of entanglement characterization tools in realistic quantum experiments.
- The extended CE measure provides a reliable method for quantifying entanglement in diverse quantum systems.
- The findings facilitate advancements in quantum information processing and quantum state characterization.
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