Numerical Shadow

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Coherent numerical shadow

Coherent numerical shadow of a matrix $A$ is defined as a probability distribution $P_A(z)$ on the complex plane, supported on the coherent numerical range $W^\mathrm{ent}(A)$. $$ P_A(z) := \int_{\Omega} {\rm d} \mu(\psi) \delta\Bigl( z-\langle \psi|A|\psi\rangle\Bigr), $$ where $\mu(\psi)$ denotes the unique unitarily invariant (Fubini-Study) measure on the set of $SU(2)$ coherent states.

numerical-shadow/generalizations/restricted-numerical-shadow/coherent-numerical-shadow.txt · Last modified: 2018/05/22 14:53 by plewandowska