A Family of Norms With Applications In Quantum Information Theory - Quantum PhysicsReportar como inadecuado




A Family of Norms With Applications In Quantum Information Theory - Quantum Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We consider a family of vector and operator norms defined by the Schmidtdecomposition theorem for quantum states. We use these norms to tackle twofundamental problems in quantum information theory: the classification problemfor k-positive linear maps and entanglement witnesses, and the existenceproblem for non-positive partial transpose bound entangled states. We beginwith an analysis of the norms, showing that the vector norms can be explicitlycalculated, and we derive several inequalities in order to bound the operatornorms and compute them in special cases. We then use the norms to establishwhat appears to be the most general spectral test for k-positivity currentlyavailable, showing how it implies several other known tests as well as some newones. Building on this work, we frame the NPPT bound entangled problem as aconcrete problem on a specific limit, specifically that a particular entangledWerner state is bound entangled if and only if a certain norm inequality holdson a given family of projections.



Autor: Nathaniel Johnston, David W. Kribs

Fuente: https://arxiv.org/



DESCARGAR PDF




Documentos relacionados