Time in Quantum Information

Currently 'time' does not play any essential role in quantum information theory. In this sense, the theory is underdeveloped, similarly to how quantum physics was before Erwin Schrodinger introduced his famous evolution of wave functions. I will desribe the problem of defining time-evolution in quantum information theory, specially for a central measures in the theory, i.e. Renyi entropy. I use a newly-developed replica trick formalism, namely 'Multiparallel World (MW)' formalism, that revolutionizes the theory. This formalism is one of the first attempts to introduce 'time evolution' for information transfer. With the total entropy being conserved in a closed system, entropy can flow internally between subsystems and I show that this flow is not limited to physical correlations as literature suggests, in fact information correlations are also involved. The mere existence of this new class of correlations allows for faster and slower information tranfer.

References:
[1] MH Ansari, A van Steensel, YV Nazarov, Entropy 21(9), 854 (2019)
[2] MH Ansari, YV Nazarov, Physical Review B 91 (17), 174307 (2015)
[3] RL Frank, EH Lieb, J. Math. Phys. 54, 122201 (2013)
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