We address the degradation of continuous variable (CV) entanglement in a noisy channel focusing on the set of photon-number entangled states. We exploit several separability criteria and compare the resulting separation times with the value of non-Gaussianity at any time, thus showing that in the low-temperature regime: (i) non-Gaussianity is a bound for the relative entropy of entanglement and (ii) Simon’s criterion provides a reliable estimate of the separation time also for non-Gaussian states. We provide several evidences supporting the conjecture that Gaussian entanglement is the most robust against noise, i.e., it survives longer than a non-Gaussian one, and that this may be a general feature for CV systems in Markovian channels.
The role of initial entanglement and non-Gaussianity in the decoherence of photon-number entangled states evolving in a noisy channel / M. Allegra, P. Giorda, M. Paris. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 105:10(2010), pp. 100503.100503.1-100503.100503.4. [10.1103/PhysRevLett.105.100503]
The role of initial entanglement and non-Gaussianity in the decoherence of photon-number entangled states evolving in a noisy channel
M. ParisUltimo
2010
Abstract
We address the degradation of continuous variable (CV) entanglement in a noisy channel focusing on the set of photon-number entangled states. We exploit several separability criteria and compare the resulting separation times with the value of non-Gaussianity at any time, thus showing that in the low-temperature regime: (i) non-Gaussianity is a bound for the relative entropy of entanglement and (ii) Simon’s criterion provides a reliable estimate of the separation time also for non-Gaussian states. We provide several evidences supporting the conjecture that Gaussian entanglement is the most robust against noise, i.e., it survives longer than a non-Gaussian one, and that this may be a general feature for CV systems in Markovian channels.File | Dimensione | Formato | |
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