# Entanglement conditions for two-mode states.

@article{Hillery2006EntanglementCF, title={Entanglement conditions for two-mode states.}, author={Mark Hillery and M. Suhail Zubairy}, journal={Physical review letters}, year={2006}, volume={96 5}, pages={ 050503 } }

We provide a class of inequalities whose violation shows the presence of entanglement in two-mode systems. We initially consider observables that are quadratic in the mode creation and annihilation operators and find conditions under which a two-mode state is entangled. Further examination allows us to formulate additional conditions for detecting entanglement. We conclude by showing how the methods used here can be extended to find entanglement in systems of more than two modes.

## 247 Citations

TWO-MODE ENTANGLEMENT VIA SUPERPOSITIONS OF TWO-MODE COHERENT STATES

- Physics
- 2007

Two-mode entanglement of superposition states from several two-mode coherent states is investigated according to the entanglement criterion.9 The dependence of entanglement on relative phase angle,…

ENTANGLEMENT CRITERION FOR COHERENT SUBTRACTION AND COHERENT ADDITION OF BIPARTITE CONTINUOUS VARIABLE STATES

- Physics
- 2012

We study the entanglement conditions of two quite general classes of two-mode non-Gaussian states. Using computable cross norm and realignment criterion, we obtain the sufficient conditions of…

Entanglement generation in a double-Λ system

- Physics
- 2008

In this paper, we study the generation of entanglement in a double-Λ system. Employing a standard method of laser theory, we deduce the dynamic evolution equation of the two-mode field. We analyse…

Entanglement conditions for four-mode states via the uncertainty relations in conjunction with partial transposition

- Physics
- 2008

From the Heisenberg uncertainty relation in conjunction with partial transposition, we derive a class of inequalities for detecting entanglements in four-mode states. The sufficient conditions for…

Entanglement Properties of Two-Mode Squeezed Coherent States in Radiation Field

- Physics
- 2008

Entanglement properties of two-mode squeezed coherent states in the radiation field are investigated according to the entanglement criterion [Phys. Rev. Lett. 84 (2000) 2722]. The dependence of…

Entanglement of Two-Mode Squeezed Even and Odd Coherent States

- Physics
- 2008

The two-mode squeezed even and odd coherent states are quantum states with some non-classical properties. The entanglement of two-mode squeezed even and odd coherent states are measured by…

Quantifications for multimode entanglement

- PhysicsPhysical Review A
- 2020

We introduce two independent quantifications for 3-mode and 4-mode entanglement. We investigate the conversion of one type of nonclassicality, i.e. single-mode nonclassicality, into another type of…

Dynamics of mode entanglement in a system of cavities coupled with a chiral mirror

- Physics
- 2014

We investigate the Hermitian and the non-Hermitian dynamics of the mode entanglement in two identical optical cavities coupled by a chiral mirror. By employing the non-Hermitian quantum evolution, we…