Local invariants for a finite multipartite quantum system

DOI10.1016/S0034-4877(07)00023-7zbMath1133.81310OpenAlexW2051725279MaRDI QIDQ2477363

Laura Cattaneo, Luca Di Persio, Sergio A. Albeverio

Publication date: 13 March 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(07)00023-7

zbMATH Keywords

Lie groupentanglementlocal unitary transformationLUT-invariant

Mathematics Subject Classification ID

Quantum computation (81P68) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

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• Multipartite states under local unitary transformations
• Bell measurements and observables
• Computer algebra methods for equivariant dynamical systems
• Invariant theory, old and new
• Teleportation of general finite-dimensional quantum systems
• Quantum Computation
• Quantum cryptography based on Bell’s theorem
• Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels
• Polynomial invariants of quantum codes
• EQUIVALENCE OF TRIPARTITE QUANTUM STATES UNDER LOCAL UNITARY TRANSFORMATIONS
• Experimental quantum teleportation
• Algorithms in invariant theory

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