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Effectiveness of depolarizing noise in causing sudden death of entanglement

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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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Notes

  1. 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].

  2. In Ref. [20], it has been shown that dephasing noise acting either on the qubit or the qutrit of the one-parameter family of mixed states in Eq. (18), does not induce ESD in the state.

  3. Notice here that while the single qubit Kraus operators of depolarizing noise correspond to Pauli spin operators [see Eq. (15)], the Kraus operators of depolarizing noise on a qutrit correspond to generalized Pauli spin operators [see Eq. (28)].

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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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Authors and Affiliations

  1. Department of Physics, Kuvempu University, Shankaraghatta, Shimoga , 577451, India

    K. O. Yashodamma, P. J. Geetha &  Sudha

  2. Inspire Institute Inc., Alexandria, VA , 22303, USA

    Sudha

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  1. K. O. Yashodamma
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  2. P. J. Geetha
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  3. Sudha
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Correspondence to Sudha.

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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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