Generalized Kraus operators for the one-qubit depolarizing quantum channel

Abstract

Microscopic Hamiltonian models of the composite system "open system + environment" typically do not provide the operator-sum Kraus form of the open system's dynamical map. With the use of a recently de- veloped method [16], we derive the Kraus operators starting from the mi- croscopic Hamiltonian model, i.e. from the proper master equation, of the one-qubit depolarizing channel. Those Kraus operators generalize the stan- dard counterparts, which are widely used in the literature. Comparison of the standard and the here obtained Kraus operators is performed via inves- tigating dynamical change of the Bloch sphere volume, entropy production and the open system's state trace distance. We find that the standard depo- larizing channel is more deteriorating than the generalized one.

17 pages, 6 figures, aaccepted for publication in Brazilian Journal of Physics, in press

References in corpus (3)

• Finite-Time Disentanglement via Spontaneous Emission
• Finding the Kraus decomposition from a master equation and vice versa
• Dynamical emergence of Markovianity in Local Time Scheme

Cited by in corpus (6)

• Resource Efficient Zero Noise Extrapolation with Identity Insertions
• Extreme depolarization for any spin
• Quantum simulation of quantum relativistic diffusion via quantum walks
• Kraus operators for a pair of interacting qubits: a case study
• Predictability as a quantum resource
• Is there any reasonable dynamics for quantum subsystems within the unitary-only quantum theory?