Entanglement, Mixedness, and Spin-Flip Symmetry in Multiple-Qubit Systems

Abstract

A relationship between a recently introduced multipartite entanglement measure, state mixedness, and spin-flip symmetry is established for any finite number of qubits. It is also shown that, within those classes of states invariant under the spin-flip transformation, there is a complementarity relation between multipartite entanglement and mixedness. A number of example classes of multiple-qubit systems are studied in light of this relationship.

To appear in Physical Review A; submitted 14 May 2003

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• Finite-time destruction of entanglement and non-locality by environmental influences
• Entanglement in spin-one Heisenberg chains
• Asymptotically noise decoupling for Markovian open quantum systems
• Complementarity relations for multi-qubit systems
• Gate simulation and lower bounds on the simulation time
• Classical Tensors and Quantum Entanglement I: Pure States
• Characterization of entanglement of more than two qubits with Bell inequalities and global entanglement
• Complete complementarity relations: Connections with EPR realism and decoherence and extension to mixed quantum states
• Representing multiqubit unitary evolutions: spin coherences and infinitesimal coherences
• Analytical results for entanglement in the five-qubit anisotropic Heisenberg model
• Swapping and permutation operators as entanglement witnesses for quantum Heisenberg spin-$s$ systems
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• Quantitative complementarity between local and nonlocal character of quantum states in a three-qubit system
• Permutation-invariant monotones for multipartite entanglement characterization
• Entanglement in spin-1/2 dimerized Heisenberg systems
• Entanglement versus energy in quantum spin models
• Quasi multipartite entanglement measure based on quadratic functions
• Classical Tensors and Quantum Entanglement II: Mixed States
• Probing multipartite entanglement through persistent homology
• Complementarity and Entanglement in Quantum Information Theory
• Entanglement oscillations in open Heisenberg chains
• SL-invariant entanglement measures in higher dimensions: the case of spin $1$ and $3/2$
• Reflection Symmetries for Multiqubit Density Operators
• Geometric multipartite entanglement measures
• Complementarity between micro-micro and micro-macro entanglement in a Bose-Einstein condensate with two Rydberg impurities
• Mixedness timescale in non-Hermitian quantum systems
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• Spin flip of multiqubit states in discrete phase space
• Localizing multipartite entanglement with local and global measurements
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain