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We investigate the unambiguous correct discrimination strategy of a set of linearly independent equidistant real quantum states and three sets of three linearly independent states. The measurement operators include the success and correct operators, and can gain more information about the input states than by using the conventional unambiguous discrimination strategy. Five examples are given to demonstrate the efficiency of the unambiguous correct discrimination strategy. [ABSTRACT FROM AUTHOR]

We investigate the unambiguous discrimination of three linearly independent symmetric states. We derive the minimum inconclusive probability by using an ancillary system and introducing a unitary transformation which acts on the input states and produces the output measured on the ancilla. We generalize to the case of discriminating the symmetric states with multiple copies. Our results show that the minimum inconclusive probabilities can be expressed as a form, not only dependent on the modular and the phase factors but also dependent on the number of the copies. [ABSTRACT FROM AUTHOR]

We investigate the optimum strategy for state discrimination of two pure states when the probability of inconclusive answers is fixed. By varying a given rate of inconclusive probabilities, the strategy optimally interpolates between Unambiguous and Minimum-Error discrimination, the two standard approaches to quantum state discrimination. We derive the explicit expressions of all the probabilities using an ancillary system and introducing unitary transformations which act on the input states and produce the output measured on the ancilla. By exploring physically accessible transformation acting on the input states, we present an optical scheme to implement the state discrimination. [ABSTRACT FROM AUTHOR]