Purification of weakly monitored Clifford circuits on prime-dimensional qudits reduces exactly to a pure-death Markov process on the density-matrix rank, producing compact universal scaling functions for all Rényi entropies.
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A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
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Universal purification dynamics of monitored Clifford circuits
Purification of weakly monitored Clifford circuits on prime-dimensional qudits reduces exactly to a pure-death Markov process on the density-matrix rank, producing compact universal scaling functions for all Rényi entropies.
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Entanglement transitions in translation-invariant tensor networks
A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.