139 citations · 168 across the 18 of their papers we have counts for
3 papers · 1 filter
The resource theory of tensor networks
Matthias Christandl, Vladimir Lysikov, Vincent Steffan +2
Tensor networks provide succinct representations of quantum many-body states and are an important computational tool for strongly correlated quantum systems. Their expressive and c…
Quantum max-flow in the bridge graph
Fulvio Gesmundo, Vladimir Lysikov, Vincent Steffan
The quantum max-flow is a linear algebraic version of the classical max-flow of a graph, used in quantum many-body physics to quantify the maximal possible entanglement between two…
Persistent Tensors and Multiqudit Entanglement Transformation
Masoud Gharahi, Vladimir Lysikov
We construct a lower bound of the tensor rank for a new class of tensors, which we call persistent tensors. We present three specific families of persistent tensors, of which the l…