Bosonic and fermionic many-body interference probabilities with partial distinguishability obey a complementarity identity whose correlation matrices sum to twice the classical case, constraining metrology sensitivity.
We start from the case of indistinguishable particles, then later generalize the formalism in the presence of a Gram matrixS
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Complementarity between bosonic and fermionic many-body interferences with partially distinguishable particles
Bosonic and fermionic many-body interference probabilities with partial distinguishability obey a complementarity identity whose correlation matrices sum to twice the classical case, constraining metrology sensitivity.