An inequality for the trace of matrix products, using absolute values
classification
🧮 math-ph
math.MP
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absoluteinequalitymatrixproductstraceapplicationgivegives
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The absolute value of matrices is used in order to give inequalities for the trace of products. An application gives a very short proof of the tracial matrix Hoelder inequality
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Quantum speed limit for observables from quantum asymmetry
A quantum speed limit for observables is formulated from the trace-norm asymmetry of the time-dependent state, observable through weak measurements and bounding the quantum Fisher information for the conjugate parameter.
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