Uncertainty inequalities as entanglement criteria for negative partial-transpose states

Details Uncertainty inequalities as entanglement criteria for negative partial-transpose states Uncertainty inequalities as entanglement criteria for negative partial-transpose states

2008-05-06

arxiv.org/abs/0805.0619v4

Phys. Rev. Lett. 101, 130402 (2008)

Physics

Quantum Physics

4 pages, published version with minor changes

Scientific paper

10.1103/PhysRevLett.101.130402

In this Letter, we show that the fulfillment of uncertainty relations is a sufficient criterion for a quantum-mechanically permissible state. We specifically construct two pseudo-spin observables for an arbitrary non-positive Hermitian matrix whose uncertainty relation is violated. This method enables us to systematically derive separability conditions for all negative partial-transpose states in experimentally accessible forms. In particular, generalized entanglement criteria are derived from the Schrodinger-Robertson inequalities for bipartite continuous-variable states.

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