Simultaneous amplitude and phase damping of a kind of Gaussian states and their separability

Abstract

We give out the time evolution solution of simultaneous amplitude and phase damping for any continuous variable state. For the simultaneous amplitude and phase damping of a wide class of two- mode entangled Gaussian states, two analytical conditions of the separability are given. One is the sufficient condition of separability. The other is the condition of PPT separability where the Peres-Horodecki criterion is applied. Between the two conditions there may exist bound entanglement. The simplest example is the simultaneous amplitude and phase damping of a two-mode squeezed vacuum state. The damped state is non-Gaussian.

7 pages, 1 figure

References in corpus (3)

• Distillation of secret key and entanglement from quantum states
• The entanglement cost under operations preserving the positivity of partial transpose
• Bounds for entanglement of formation of two mode squeezed thermal states

Cited by in corpus (5)

• Quantum entanglement of decohered two-mode squeezed states in absorbing and amplifying environment
• The characteristic function of optical evolution
• Husimi phase distribution in non-Gaussian operations
• Simultaneous amplification and non-symmetric amplitude damping of two-mode Gaussian state
• The separability of tripartite Gaussian state with amplification and amplitude damping