The following link implies that quantum mechanics only violates the "one future" aspect of information conservation:
https://www.physicsforums.com/threads/is-information-always-conserved-in-quantum-mechanics.458985/
How is it possible that we can know that there can only be one past even though any state of any system isn't known from the previous states?
Thursday, 28 February 2019
quantum mechanics - How does many possible futures not mean many possible pasts?
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