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Published on: September 5, 2019
Sufficient Wigner Negativity Implies Genuine Multipartite Entanglement
Lin Htoo Zaw1, Jiajie Guo2, Qiongyi He2,3,4
1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore.
Wigner negativity, a quantum resource, can certify genuine multipartite entanglement (GME) in continuous-variable systems. This finding offers practical methods for detecting GME in various quantum platforms.
Area of Science:
- Quantum Information Science
- Quantum Optics
- Quantum Many-Body Systems
Background:
- Wigner negativity and genuine multipartite entanglement (GME) are crucial nonclassical resources for quantum information tasks.
- Understanding the relationship between these resources is vital for advancing quantum computation and communication.
Purpose of the Study:
- To establish theorems relating Wigner negativity to GME in multimode continuous-variable systems.
- To provide practical criteria for certifying GME using measurable quantities.
Main Methods:
- Proving two theorems that link Wigner negativity (volume or depth) to the presence of GME.
- Developing methods to quantify GME presence and its distance from non-GME states.
Main Results:
- Sufficient Wigner negativity guarantees the presence of GME in continuous-variable systems.
- Violations of derived inequalities provide lower bounds for the trace distance to non-GME states.
- Sufficient conditions for generating GME via multiport interferometry with vacuum are established.
Conclusions:
- The study provides robust theoretical links between Wigner negativity and GME.
- The proposed criteria are experimentally feasible, requiring only finite phase-space measurements.
- These findings are readily implementable in diverse quantum platforms like circuit QED and trapped ions.
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