Estimates of non-optimality of quantum measurements and a simple iterative method for computing optimal measurements

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We construct crude estimates for non-optimality of quantum measurements in terms of their violation of Holevo's simplified minimum-error optimality conditions. As an application, we show that a modification of Barnett and Croke's proof of the optimality conditions yields a convergent iterative scheme for computing optimal measurements.
The optimality condition in the prevoius version had already been shown by Holevo. The bounds on non-optimality and convergence of the iterative algorithm are unchanged

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