# Uncertainty relation and inseparability criterion

Source: [Uncertainty relation and inseparability criterion](<https://www.sota2.com/research/paper/68fa34eb1e209131ce89d5d1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:59:00.513Z

Authors: Ashutosh K. Goswami, Prasanta K. Panigrahi

Published: 2016-08-03T13:12:38.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1608.01177>)

[PDF](<https://arxiv.org/pdf/1608.01177.pdf>)