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@ARTICLE{Ansari:902778,
      author       = {Ansari, Mohammad H. and van Steensel, Alwin and Nazarov,
                      Yuli V.},
      title        = {{E}ntropy {P}roduction in {Q}uantum is {D}ifferent},
      journal      = {Entropy},
      volume       = {21},
      number       = {9},
      issn         = {1099-4300},
      address      = {Basel},
      publisher    = {MDPI},
      reportid     = {FZJ-2021-04549},
      pages        = {854 -},
      year         = {2019},
      abstract     = {Currently, ‘time’ does not play any essential role in
                      quantum information theory. In this sense, quantum
                      information theory is underdeveloped similarly to how
                      quantum physics was underdeveloped before Erwin Schrödinger
                      introduced his famous equation for the evolution of a
                      quantum wave function. In this review article, we cope with
                      the problem of time for one of the central quantities in
                      quantum information theory: entropy. Recently, a replica
                      trick formalism, the so-called ‘multiple parallel world’
                      formalism, has been proposed that revolutionizes entropy
                      evaluation for quantum systems. This formalism is one of the
                      first attempts to introduce ‘time’ in quantum
                      information theory. With the total entropy being conserved
                      in a closed system, entropy can flow internally between
                      subsystems; however, we show that this flow is not limited
                      only to physical correlations as the literature suggest. The
                      nonlinear dependence of entropy on the density matrix
                      introduces new types of correlations with no analogue in
                      physical quantities. Evolving a number of replicas
                      simultaneously makes it possible for them to exchange
                      particles between different replicas. We will summarize some
                      of the recent news about entropy in some example quantum
                      devices. Moreover, we take a quick look at a new
                      correspondence that was recently proposed that provides an
                      interesting link between quantum information theory and
                      quantum physics. The mere existence of such a correspondence
                      allows for exploring new physical phenomena as the result of
                      controlling entanglement in a quantum device},
      cin          = {PGI-2},
      ddc          = {510},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5224 - Quantum Networking (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5224},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000489176800038},
      doi          = {10.3390/e21090854},
      url          = {https://juser.fz-juelich.de/record/902778},
}