Most Robust and Fragile States with the Same Entanglement Properties

Finding the most robust entangled states and the most fragile entangled states during the whole process of decoherence is particularly a fundamental problem for quantum physics and quantum information processing. Here the robustness of three‐qubit states under three different decoherence channels (amplitude damping, dephasing, bit flip) systematically are investigated, and the most robust genuine tripartite entangled states and the most fragile ones during each of the three decoherence processes are found. Moreover, the states with the most significant difference in robustness are shown to be locally unitarily equivalent to each other and therefore contain the same entanglement properties. Finding the most robust entangled states and the most fragile entangled states during the whole process of decoherence is particularly a fundamental problem for quantum physics and quantum information processing. Under some typical local decoherence environments, the most robust genuine tripartite entangled states and the most fragile ones can contain exactly the same entanglement properties.