Entanglement witnesses for indistinguishable particles

2015/01/31 by A. Reusch, Jan Sperling, J. Sperling +1 · 33 citations
Computer Science · Physics and Astronomy · #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Theoretical physics #quant-ph

paper · pdf · doi:10.1103/physreva.91.042324

published in Physical Review A 91(4) (American Physical Society) · 11 pages, 2 figures

openalex publication_date 2015/04/20 · arxiv created 2015/04/21 · arxiv updated 2015/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the problem of witnessing entanglement among indistinguishable particles. For this purpose, we derive a set of equations which results in necessary and sufficient conditions for probing multipartite entanglement between arbitrary systems of bosons or fermions. The solution of these equations yields the construction of optimal entanglement witnesses for partial and full entanglement in discrete and continuous variable systems. Our approach unifies the verification of entanglement for distinguishable and indistinguishable particles. We provide general solutions for certain observables to study quantum entanglement in systems with different quantum statistics in noisy environments.

Citations

• On the theory of identical particles
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Quantum Mechanics of Fractional-Spin Particles
• Quantum-enhanced measurements: beating the standard quantum limit
• Sub-shot-noise quantum metrology with entangled identical particles
• Reliable entanglement verification
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• Experimental Detection of Multipartite Entanglement using Witness Operators
• Discussion of Probability Relations between Separated Systems
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Useful entanglement from the Pauli principle
• General criterion for the entanglement of two indistinguishable particles
• Determination of the Schmidt number
• Universal separability and entanglement in identical-particle systems
• Separability of mixed states: necessary and sufficient conditions
• Quantum entanglement
• Entanglement detection
• Bell nonlocality

Cited by

• Complementary properties of multiphoton quantum states in linear optics networks