Lorentz invariance of entanglement classes in multipartite systems

Abstract

We analyze multipartite entanglement in systems of spin-1/2 particles from a relativistic perspective. General conditions which have to be met for any classification of multipartite entanglement to be Lorentz invariant are derived, which contributes to a physical understanding of entanglement classification. We show that quantum information in a relativistic setting requires the partition of the Hilbert space into particles to be taken seriously. Furthermore, we study exemplary cases and show how the spin and momentum entanglement transforms relativistically in a multipartite setting.

arXiv commentv2: 5 pages, 4 figures, minor changes to main body, journal references updated

References in corpus (31)

• Quantum entanglement
• Quantum Cryptography
• Entanglement detection
• Quantum Information and Relativity Theory
• Four qubits can be entangled in nine different ways
• Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
• Quantum entanglement in photosynthetic light harvesting complexes
• Classification of mixed three-qubit states
• Separability criteria for genuine multiparticle entanglement
• Measure of genuine multipartite entanglement with computable lower bounds
• Quantum Entanglement of Moving Bodies
• Detection of high-dimensional genuine multi-partite entanglement of mixed states
• Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
• Operational Families of Entanglement Classes for Symmetric $N$-Qubit States
• Relativistic entanglement and Bell's inequality
• Relativistic entanglement of two massive particles
• Partial separability and entanglement criteria for multiqubit quantum states
• Multipartite entanglement in quantum algorithms
• Relativity and Lorentz Invariance of Entanglement Distillability
• Operational Classification and Quantification of Multipartite Entangled States
• Lorentz transformations that entangle spins and entangle momenta
• Experimentally Feasible Security Check for n-qubit Quantum Secret Sharing
• Multipartite entanglement measure for all discrete systems
• Separability Criterion of Tripartite Qubit Systems
• A composite parameterization of unitary groups, density matrices and subspaces
• Two computable sets of multipartite entanglement measures
• Experimentally implementable criteria revealing substructures of genuine multipartite entanglement
• Maximizing nearest neighbour entanglement in finitely correlated qubit--chains
• Lorentz covariant reduced-density-operator theory for relativistic quantum information processing
• Multi-distributed Entanglement in Finitely Correlated Chains
• Relativistic entanglement of quantum states and nonlocality of Einstein-Podolsky-Rosen(EPR) paradox

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