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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The arrow of time exhibits nonanalytic behavior at the critical point of measurement-induced phase transitions, with an identified critical exponent, in an exactly solved model of random quantum circuits with non-projective measurements.
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
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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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Arrow of Time as an indicator of Measurement-Induced Phase Transitions
The arrow of time exhibits nonanalytic behavior at the critical point of measurement-induced phase transitions, with an identified critical exponent, in an exactly solved model of random quantum circuits with non-projective measurements.
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Rise and fall of nonstabilizerness via random measurements
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.