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Quantum systems, when interacting with their environments, may exhibit nonequilibrium states that are tempting to be interpreted as quantum analogs of chaotic attractors. However, di erent from the Hamiltonian case, the toolbox for quantifying dissipative quantum chaos remains limited. In particular, quantum generalizations of Lyapunov exponents, the main quanti ers of classical chaos, are established only within the framework of continuous measurements. We propose an alternative generalizationdoi:10.1063/1.5094324 fatcat:4a5i4tgb2zfrnkucoy3cqflmsm