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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Entanglement witnesses for stabilizer states and subspaces beyond qubits
Jakub Szczepaniak1, Owidiusz Makuta1,2,3, Remigiusz Augusiak1
1Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland.
Reports on Progress in Physics. Physical Society (Great Britain)
|November 4, 2025
Summary
This study introduces new entanglement witnesses to detect genuine multipartite entanglement (GME) in multi-qudit systems. These witnesses, derived from the stabilizer formalism, offer enhanced noise robustness for higher-dimensional quantum states.
Area of Science:
- Quantum Information Science
- Quantum Entanglement Studies
- Quantum Error Correction
Background:
- Genuine multipartite entanglement (GME) is crucial for quantum technologies like metrology.
- Entanglement witnesses are standard tools for detecting GME in quantum states.
- Existing methods often focus on qubit systems, limiting applications in higher dimensions.
Purpose of the Study:
- To generalize existing entanglement witness constructions for genuine multipartite entanglement.
- To develop witnesses tailored to entangled subspaces within the multi-qudit stabilizer formalism.
- To explore the noise robustness of these new witnesses in higher-dimensional quantum systems.
Main Methods:
- Generalization of entanglement witness construction based on Tóth and Gühne (2005).
- Application of the multi-qudit stabilizer formalism to describe entangled states.
- Inclusion of graph states with arbitrary local dimensions in the construction.
- Comparative analysis of noise robustness against existing multiqubit witnesses.
Main Results:
- A novel construction of entanglement witnesses for genuine multipartite entanglement in multi-qudit systems.
- The construction successfully incorporates graph states of arbitrary local dimension.
- Demonstrated superior noise robustness of the new witnesses in certain scenarios for higher-dimensional systems compared to multiqubit witnesses.
Conclusions:
- The developed entanglement witnesses provide a powerful tool for detecting GME in complex multi-qudit systems.
- The multi-qudit stabilizer formalism offers a versatile framework for constructing and analyzing multipartite entangled states.
- These findings advance the detection and application of genuine multipartite entanglement in higher-dimensional quantum information processing.
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