MPS energy landscapes lack poor local minima because gauge freedom induces overparametrization that concentrates local minima near the global minimum, with the local minimum distribution proven invariant under orthogonality center moves.
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Nahum , author J
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In the thermodynamic limit the quantum and classical full-counting statistics of charge coincide exactly with no finite-time corrections, while the averaged von Neumann entanglement entropy admits a fully explicit expression obtained from the Jacobi-process dynamics of correlation-matrix eigenvalues
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Lecture notes and accompanying library teach replica tensor network methods to compute circuit-averaged observables in random quantum circuits by mapping them to classical statistical mechanics models.
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Disentangling strategies and entanglement transitions in unitary circuit games with matchgates
Introduces a minimal matchgate circuit representation for fermionic Gaussian states together with a Yang-Baxter update algorithm, then maps out entanglement transitions in unitary circuit games under braiding and generic matchgate rules.
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A graph-based approach to entanglement entropy of quantum error correcting codes
A graph-based method is proposed to study entanglement entropy in CSS quantum codes, with illustrations on toric codes and quantum LDPC codes showing scaling behavior.