2020/06/30 by Abhishek Muhuri, Muhuri, Abhishek, Debdeep Sinha +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2006.16528
openalex publication_date 2020/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum entanglement, induced by spatial noncommutativity, is investigated\nfor an anisotropic harmonic oscillator. Exact solutions for the system are\nobtained after the model is re-expressed in terms of canonical variables, by\nperforming a particular Bopp's shift to the noncommuting degrees of freedom.\nEmploying Simon's separability criterion, we find that the states of the system\nare entangled provided a unique function of the (mass and frequency) parameters\nobeys an inequality. Entanglement of Formation for this system is also computed\nand its relation to the degree of anisotropy is discussed. It is worth\nmentioning that, even in a noncommutative space, entanglement is generated only\nif the harmonic oscillator is anisotropic. Interestingly, the Entanglement of\nFormation saturates for higher values of the deformation parameter \θ,\nthat quantifies spatial noncommutativity.\n