Quantum MERA Channels

Details Quantum MERA Channels Quantum MERA Channels

2008-04-03

arxiv.org/abs/0804.0520v3

Phys. Rev. Lett. 101, 180503 (2008)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.101.180503

Tensor networks representations of many-body quantum systems can be described in terms of quantum channels. We focus on channels associated with the Multi-scale Entanglement Renormalization Ansatz (MERA) tensor network that has been recently introduced to efficiently describe critical systems. Our approach allows us to compute the MERA correspondent to the thermodynamic limit of a critical system introducing a transfer matrix formalism, and to relate the system critical exponents to the convergence rates of the associated channels.

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