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I derive an inequality in which the phase damping rates of single qubits setan upper bound for the phase damping rate of entangled states of many qubits.The derivation is based on two assumptions: first, that the phase damping canbe described by a dissipator in Lindblad form and, second, that the phasedamping preserves the population of qubit states in a given basis.

Local phase damping of single qubits sets an upper bound on the phase damping rate of entangled states