For almost all pure states sampled from the Scrooge measure, entropy production is exponentially close to the ensemble value, so typical pure states obey the second law.
Reply to Comment on: "Fluctuation Theorem for Many-Body Pure Quantum States"
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We reply to Comment by J. Gemmer, L. Knipschild, R. Steinigeweg (arXiv:1712.02128) on our paper Phys. Rev. Lett. 119, 100601 (2017).
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Typical Positivity of Nonequilibrium Entropy Production for Pure States
For almost all pure states sampled from the Scrooge measure, entropy production is exponentially close to the ensemble value, so typical pure states obey the second law.