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Title:
Super vector spaces and fermionic tensor networks
Speaker:
Abstract:
It has almost been ten years since fermionic tensor network states were introduced. Given the great variety of interesting systems containing fermionic degrees of freedom in quantum chemistry, condensed matter and high energy physics, it goes without saying that tensor network states containing fermions are physically very relevant. In this talk a slight reformulation of fermionic tensor networks based on super vector spaces will be presented. Fermionic tensor contraction, the fermionic minus sign bookkeeping, and a graphical tensor notation will be discussed in detail. Using the super vector space formalism canonical forms for fermionic matrix product states are introduced and connected to physical properties such as Majorana edge modes.
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