EXTREMAL DECISION RULES IN QUANTUM HYPOTHESIS TESTING
- 1 December 1999
- journal article
- Published by World Scientific Pub Co Pte Ltd in Infinite Dimensional Analysis, Quantum Probability and Related Topics
- Vol. 2 (4), 557-568
- https://doi.org/10.1142/s0219025799000321
Abstract
We present a complete description of the extreme points of the convex set of all decision rules in testing multiple hypotheses concerning a quantum system whose states are described by density matrices in a finite-dimensional Hilbert space. Holevo's equations for an optimal decision are derived by methods of elementary calculus and a simple example is given in order to illustrate the nonuniqueness of optimal decision rules.Keywords
This publication has 1 reference indexed in Scilit:
- Extreme Points of the Convex set of Stochastic Maps on A C*-AlgebraInfinite Dimensional Analysis, Quantum Probability and Related Topics, 1998