Mixed s-sourcery: Building many-body states using bubbles of Nothing
arXiv:1607.05753 · doi:10.1103/PhysRevB.94.155125
Abstract
In arXiv:1407.8203, we introduced the idea of s-sourcery, a general formalism for building many-body quantum ground states using renormalization-group-inspired quantum circuits. Here we define a generalized notion of s-sourcery that applies to mixed states, and study its properties and applicability. We prove a number of theorems establishing the prevalence of mixed s-source fixed points. For our examples we focus on thermal states of local Hamiltonians. Thermal double states (also called thermofield double states) and the machinery of approximate conditional independence are used heavily in the constructions.
only 61 pages, lots of pictures
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- Hierarchy of Entanglement Renormalization and Long-Range Entangled States
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- Matrix product states and the decay of quantum conditional mutual information
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- Z3 gauge theory coupled to fermions and quantum computing