Two-qubit decoherence mechanisms revealed via quantum process tomography

We analyze the quantum process tomography (QPT) in the presence of decoherence, focusing on distinguishing local and non-local decoherence mechanisms for a two-partite system from experimental QPT data. In particular, we consider the $\sqrt{\mathrm{i}\mathrm{S}\mathrm{W}\mathrm{A}\mathrm{P}}$ gate realized with superconducting phase qubits and calculate the QPT matrix $\chi$ in the presence of several local and non-local decoherence processes. We determine specific patterns of these decoherence processes, which can be used for a fast identification of the main decoherence mechanisms from an experimental $\chi$-matrix.