How to implement the generalized-coherent-state POVM via nonadaptive continuous isotropic measurement
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povmcontinuousgeneralized-coherent-stateimplementisotropicmeasurementnonadaptiveannounced
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In a recent Letter~[PRL \textbf{121}, 130404 (2018)], it was announced that the spin-coherent-state POVM can be implemented via a nonadaptive continuous isotropic measurement. In this article, the mathematical concepts used to prove this are explained in greater depth. Also provided is the more general result of how to implement a generalized-coherent-state POVM for any finite-dimensional unitary representation of a Lie group.
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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.
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