KMS states on Quantum Grammars

  title={KMS states on Quantum Grammars},
  author={V. Malyshev},
  journal={arXiv: Mathematical Physics},
  • V. Malyshev
  • Published 1999
  • Physics, Mathematics
  • arXiv: Mathematical Physics
We consider quantum (unitary) continuous time evolution of spins on a lattice together with quantum evolution of the lattice itself. In physics such evolution was discussed in connection with quantum gravity. It is also related to what is called quantum circuits, one of the incarnations of a quantum computer. We consider simpler models for which one can obtain exact mathematical results. We prove existence of the dynamics in both Schroedinger and Heisenberg pictures, construct KMS states on… Expand
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