Continuous homogeneous monitoring generates Haar-uniform pure states and, via purity-dependent rates and post-mixing, uniform Hilbert-Schmidt and Bures mixed-state ensembles for qubits.
McKeever, Continuous measurement simulations for uniform quantum ensembles, 10.48420/32760963 (2026)
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Generating uniform quantum state ensembles with continuous measurement
Continuous homogeneous monitoring generates Haar-uniform pure states and, via purity-dependent rates and post-mixing, uniform Hilbert-Schmidt and Bures mixed-state ensembles for qubits.