, 7 tweets, 5 min read Read on Twitter
Now ar #IWQNS Lincoln D. Carr @coschoolofmines on quantifying complexity in quantum phase transitions via mutual information complex networks
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@coschoolofmines Lincoln D. Carr: In present quantum device (@dwavesys and analog devices) can already be described by networks difficult to simulate. Networks can be in the Hamiltonian, or arise spontaneously in the state. Here is about these spontaneous networks
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Lincoln D. Carr‘s network arrise through quantum phase transition. The network is hidden in the adjacency matrix from the quantum state. The matrix is build from quantum mutual information between I_jk.
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Lincoln D. Carr models are Ising model and Bose-Huddard models.
Complex network measures correctly identify critical phenomena in thes well known system, and even shows new interesting phenomena
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Lincoln D. Carr: Ising model is a specific case where we have exact description at finite T. He uses this to study what happens at nonzero T.
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Lincold D. Carr uses quantum cellular automata to construct states of intermediate complexity, a region untouched by “standard” quantum states
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