Non-Abelian symmetries and unentangled initial states block full Haar randomization in unitary quantum dynamics, leaving finite deviations in late-time entanglement entropy.
Incompress- ibility and spectral gaps of random circuits
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In finite-depth random linear optical circuits, entanglement grows at most diffusively and robust circuit complexity scales similarly, with depth bounds ensuring near-maximal subsystem entanglement and closeness to Haar unitaries.
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Quantum state randomization constrained by non-Abelian symmetries
Non-Abelian symmetries and unentangled initial states block full Haar randomization in unitary quantum dynamics, leaving finite deviations in late-time entanglement entropy.
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Entanglement and circuit complexity in finite-depth random linear optical networks
In finite-depth random linear optical circuits, entanglement grows at most diffusively and robust circuit complexity scales similarly, with depth bounds ensuring near-maximal subsystem entanglement and closeness to Haar unitaries.