An elementary formula for entanglement entropies of fermionic systems

Abstract

An elementary formula for the von Neumann and Renyi entropies describing quantum correlations in two-fermionic systems having four single particle states is presented. An interesting geometric structure of fermionic entanglement is revealed. A connection with the generalized Pauli principle is established.

8 pages

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Cited by in corpus (34)

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• Formulation of the uncertainty relations in terms of the Renyi entropies
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• Extracting entanglement from identical particles
• Metric adjusted skew information
• Entropic Uncertainty Relations in Quantum Physics
• Entanglement and Particle Identity: A Unifying Approach
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• Linear entropy as an entanglement measure in two-fermion systems
• Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
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• A three-qubit interpretation of BPS and non-BPS STU black holes
• Multipartite concurrence for identical-fermion systems
• Special entangled quantum systems and the Freudenthal construction
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• Entanglement versus entwinement in symmetric product orbifolds
• Entropic Entanglement Criteria for Fermion Systems
• Information-entropic measures for non-zero l states of confined hydrogen-like ions
• Two-Center Black Holes, Qubits and Elliptic Curves
• Entanglement generation through particle detection in systems of identical fermions
• Monogamy relations and upper bounds for the generalized $W$-class states using Rényi-$\alpha$ entropy
• Dynamics of entanglement in systems of identical fermions undergoing decoherence
• Information-Entropic Measures in Confined Isotropic Harmonic Oscillator
• Non-commutative Rényi Entropic Uncertainty Principles
• Classifying fermionic states via many-body correlation measures
• Reduced density matrix of nonlocal identical particles
• A study of two-qubit density matrices with fermionic purifications
• Information analysis in free and confined harmonic oscillator