Erratum: Local-dephasing-induced entanglement sudden death in two-component finite-dimensional systems [Phys. Rev. A76, 044101 (2007)]

Abstract

We would like to point out that our paper [1] contains a typographical error in the counting index in the general expression for the time-evolved density operator. In particular, the counting index should run from 1 to d, rather than from 1 to 2 as was written. In particular, Eq. (3) should read

Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing

“…However, the conclusions of Ref. [6] are correct and we assume that Ann-Jaeger only wrote the wrong matrices but worked with correct ones. The proof of this assumption can be found in Ref.…”

“…The dynamics of density matrix can be given by operator sum representation [6,7] as ρ(t) = n j K † j (t)ρ(0)K j (t), where K j are Kraus operators [22] that preserve the positivity and unit trace conditions, i. e.,…”

“…was written in [6], where the authors studied the existence of entanglement sudden death for qudit-qudit (d ⊗…”

“…It is quite straight forward to show that with E i and F j defined in [6], the partial transpose of isotropic states always contain one negative eigenvalue and the conclusions that isotropic states always exhibit entanglement sudden death would not be correct. However, the conclusions of Ref.…”

“…Clearly, such finite-time disentanglement can seriously affect applications of entangled states in quantum information processing. The initial report of ESD in two-qubit entangled states in a specific model was later explored in wider contexts and in higher dimensions of Hilbert space when the qubits are replaced by qutrits or qudits [4,5,6,7,8,9,10,11]. The experimental evidences for this effect have been reported for optical setups [12] and atomic ensembles [13].…”