Workshop on QUANTUM INFORMATION AND FOUNDATIONS OF QUANTUM MECHANICS

Quantum Information Processing and Quantum Communications

On unambiguous state discrimination
aula dottorato - Mercoledì 22 aprile ore 14.00
  DAGMAR BRUSS, Universitaet Duesseldorf

>VITAE: Dagmar Bruss completed her PhD in Heidelberg in elementary particle physics. Spending two postdoc years in Oxford, she moved into the field of quantum information
in 1997. After one year at the ISI Torino (as European Research Fellow) she went to Hannover, where she is currently working in the Theoretical Quantum Optics group of Maciej Lewenstein. She completed her Habilitation in 2002. She is now full professor at the Institute fuer Theoretische Physik of the Heinrich-Heine-Universitaet Duesseldorf. Her main scientific interests are the theory of entanglement, security issues in quantum cryptography, and quantum optical implementations of quantum information processing.

Dagmar Bruss
Abstract  
  Distinguishing two non-orthogonal states in an optimal way is a fundamental problem in quantum information theory. If one is not allowed to make an error, this task is called unambiguous state discrimination (USD). A USD measurement is optimal when it minimises the probability of an inconclusive outcome. The optimal solution of USD for two mixed states is not (yet?) analytically known. We show that the optimal measurement is unique, and present a general strategy to find the optimal solution. For the lowest-dimensional non-trivial case (i.e. d = 4) our approach allows to determine the optimal solution in a constructive way, and to understand the properties of its different regimes.
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