English

A tighter steering criterion using the Robertson-Schrodinger uncertainty relation

Quantum Physics 2018-07-25 v2

Abstract

We consider quantum steering by non-Gaussian entangled states. The Reid steering criterion based on the Heisenberg uncertainty relation fails to detect steerability for many categories of such states. Here, we derive a tighter steering criterion using the Robertson-Schr\"{o}dinger uncertainty relation. We show that our steering condition is able to detect steerability of several classes of non-Gaussian states such as entangled eigenstates of the two-dimensional harmonic oscillator, the photon subtracted squeezed vacuum state and the NOON state.

Keywords

Cite

@article{arxiv.1711.02895,
  title  = {A tighter steering criterion using the Robertson-Schrodinger uncertainty relation},
  author = {Souradeep Sasmal and Tanumoy Pramanik and Dipankar Home and A. S. Majumdar},
  journal= {arXiv preprint arXiv:1711.02895},
  year   = {2018}
}

Comments

Error in calculations

R2 v1 2026-06-22T22:39:49.504Z