Abstract
Continuing on the recent observation that sudden death of entanglement can occur even when a single qubit of a 2-qubit state is exposed to noisy environment (Yashodamma and Sudha in Results Phys 3:41–45, 2013), we examine the local action of a noise on bipartite qubit–qutrit and qutrit–qutrit systems. We show that depolarizing noise causes sudden death of entanglement in both qubit–qutrit and qutrit–qutrit systems even when it acts only on one part of the system. While generalized amplitude damping noise also causes finite-time disentanglement in qubit–qutrit states, the entanglement sudden death occurs much faster due to depolarizing noise. This result strengthens the observation (Yashodamma and Sudha in Results Phys 3:41–45, 2013) that depolarizing noise is more effective than other noise models in causing sudden death of entanglement.
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The states that are left invariant by the action of GAD on a single qubit are of the form \(\mathrm{{diag}}(p,\,1-p)\) and when \(p=1/2\), GAD keeps the maximally mixed state \(I_2/2\) invariant [1].
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Acknowledgments
K. O. Yashodamma and P. J. Geetha acknowledge the support of Department of Science and Technology (DST), Govt. of India through the award of INSPIRE fellowship.
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Yashodamma, K.O., Geetha, P.J. & Sudha Effectiveness of depolarizing noise in causing sudden death of entanglement. Quantum Inf Process 13, 2551–2565 (2014). https://doi.org/10.1007/s11128-014-0812-0
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DOI: https://doi.org/10.1007/s11128-014-0812-0