Entanglement and Particle Identity: A Unifying Approach
arXiv:1303.0688 · doi:10.1103/PhysRevLett.110.080503
Abstract
It has been known for some years that entanglement entropy obtained from partial trace does not provide the correct entanglement measure when applied to systems of identical particles. Several criteria have been proposed that have the drawback of being different according to whether one is dealing with fermions, bosons or distinguishable particles. In this Letter, we give a precise and mathematically natural answer to this problem. Our approach is based on the use of the more general idea of restriction of states to subalgebras. It leads to a novel approach to entanglement, suitable to be used in general quantum systems and specially in systems of identical particles. This settles some recent controversy regarding entanglement for identical particles. The prospects for applications of our criteria are wide-ranging, from spin chains in condensed matter to entropy of black holes.
arXiv commentPublished version. Based on arxiv 1205.2882
References in corpus (21)
- Quantum entanglement
- Quantum Entanglement in Fermionic Lattices
- Quantum Correlations in Systems of Indistinguishable Particles
- Quantum Correlations in Two-Fermion Systems
- The entanglement of indistinguishable particles shared between two parties
- An Introduction to Noncommutative Spaces and their Geometry
- A subsystem-independent generalization of entanglement
- General criterion for the entanglement of two indistinguishable particles
- Quantum Correlations in Two-Boson Wavefunctions
- Essential entanglement for atomic and molecular physics
- Entanglement in a two-identical-particle system
- Quantum Entanglement of Identical Particles
- Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
- An elementary formula for entanglement entropies of fermionic systems
- A generalized skew information and uncertainty relation
- Entanglement of Indistinguishable Particles
- Useful entanglement from the Pauli principle
- Entanglement for multipartite systems of indistinguishable particles
- Entropic Entanglement Criteria for Fermion Systems
- Quantum entanglement in a non-commutative system
- Entanglement beyond tensor product structure: algebraic aspects of quantum non - separability
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- Transmission of quantum entanglement through a random medium
- Target space entanglement in quantum mechanics of fermions and matrices
- Non-abelian symmetry-resolved entanglement entropy
- Spatial separation and entanglement of identical particles
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- Measuring quantumness: from theory to observability in interferometric setups
- Direct measurement of particle statistical phase
- Orbital and electronic entanglement in quantum teleportation schemes
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- Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
- Codification Volume of an operator algebra and its irreversible growth through thermal processes
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- Completely Positive Maps for Reduced States of Indistinguishable Particles
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