Calculation of the unitary part of the Bures measure for N-level quantum systems
classification
🪐 quant-ph
keywords
unitaryburesformulameasurepartrandomsystemsballs
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We use the canonical coset parameterization and provide a formula with the unitary part of the Bures measure for non-degenerate systems in terms of the product of even Euclidean balls. This formula is shown to be consistent with the sampling of random states through the generation of random unitary matrices.
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