Computing mixed Schatten norm of completely positive maps
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Computing p → q norm for matrices is a classical problem in computational mathematics and power iteration is a well-known method for computing p → q norm for a matrix with nonnegative entries. Here we define an equivalent iteration method for computing S_p → S_q norm for completely positive maps where S_p is the Schatten p norm. We generalize almost all of the definitions, properties, lemmas, etc. in the matrix setting to completely positive maps and prove an important theorem in this setting.
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