Uncertainty Relation and Inseparability Criterion

2016/08/03 by Ashutosh K. Goswami, Prasanta K. Panigrahi
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Context (archaeology) #Entanglement witness #Independent and identically distributed random variables #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Relation (database) #Separable space #Spectral Theory in Mathematical Physics #Transpose #quant-ph

paper · pdf · doi:10.1007/s10701-016-0052-5

7 pages

arxiv created 2016/08/03 · openalex created_date 2016/08/23 · openalex publication_date 2016/11/23 · arxiv updated 2016/12/21 · openalex updated_date 2026/08/05

Abstract

We investigate the Peres-Horodecki positive partial transpose (PPT) criterion in the context of conserved quantities and derive a condition of in- separability for a composite bipartite system depending only on the dimen- sions of its subsystems, which leads to a bi-linear entanglement witness for the two qubit system. A separability inequality using generalized Schrodinger- Robertson uncertainty relation taking suitable operators, has been derived, which proves to be stronger than the bi-linear entanglement witness operator. In the case of mixed density matrices, it identically distinguishes the separable and non separable Werner states.

Citations

• An Indeterminacy Relation for Several Observables and Its Classical Interpretation
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Experimental Detection of Multipartite Entanglement using Witness Operators
• Multipartite entanglement criterion from uncertainty relations
• Separability Criterion for Density Matrices
• Quantum cryptography based on Bell’s theorem
• Quantum secret sharing
• Die gegenw�rtige Situation in der Quantenmechanik
• Measurement-based quantum computation with cluster states
• Inseparability Criterion for Continuous Variable Systems
• On the Einstein Podolsky Rosen paradox
• Entanglement condition via su(2) and su(1,1) algebra using Schrödinger-Robertson uncertainty relation
• Peres-Horodecki Separability Criterion for Continuous Variable Systems