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Matrix Product Operators and Approximate Quantum Markov Chains

By Fernando Brandao

Appears in collection : Quantum Information Theory

I discuss the problem of establishing the equivalence of matrix product operators and approximate quantum Markov chains. Although the general case is still open, I will show that the equivalence holds true classically. The argument uses ideas from dynamical systems, in particular finite size bounds to Oseledec's multiplicative ergodic theorem.

Information about the video

  • Date of recording 14/12/2017
  • Date of publication 15/12/2017
  • Institution IHP
  • Format MP4

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