Entropy and entanglement bounds for reduced density matrices of\n fermionic states

2014/03/15 by Eric A. Carlen, Élliott H. Lieb, Carlen, Eric A. +3 · 2 citations
Computer Science · Physics and Astronomy · #81V99 #82B10 #94A17 #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.1403.3816

openalex publication_date 2014/03/15 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

Abstract

Unlike bosons, fermions always have a non-trivial entanglement. Intuitively,\nSlater determinantal states should be the least entangled states. To make this\nintuition precise we investigate entropy and entanglement of fermionic states\nand prove some extremal and near extremal properties of reduced density\nmatrices of Slater determinantal states.\n

Citations

• Entanglement in many-body systems

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