Publications in Journals

• Ann. Statist. accepted for publication (2011), MPI MiS Preprint series no. 54/2011:
  "An asymptotic error bound for testing multiple quantum hypotheses",
  with M. Nussbaum
  
  
• Entropy Vol. 13, 1200--1211 (2011):
  "Effective complexity of stationary process realizations",
  with N. Ay and M. Müller
  
  
• Theory of Quantum Computation, Communication and Cryptography.
  5th Conference, TQC 2010, Leeds, UK.
  Lecture Notes in Computer Science Vol. 6519, 1--18, Springer (2011):
  "Asymptotic optimal discrimination between pure quantum states",
  with M. Nussbaum
  
  
• J. Math. Phys. 51, 072203 (2010):
  "Exponential error rates in multiple state discrimination on a quantum spin chain",
  with M. Nussbaum
  
  
• IEEE Trans. Inf. Theory Vol. 56, No. 9, 4593--4607 (2010):
  "Effective complexity and its relation to logical depth",
  with N. Ay and M. Müller
  
  
• Comm. Math. Phys. Vol. 279, No. 1, 251--283 (2008):
  "Asymptotic Error Rates in Quantum Hypothesis Testing",
  with K. M. R. Audenaert, M. Nussbaum and F. Verstraete
  
  
• Ann. Statist. Vol. 37, No. 2, 1040--1057 (2009):
  "The Chernoff Lower Bound for Symmetric Quantum Hypothesis Testing",
  with M. Nussbaum
  
  
• Comm. Math. Phys. Vol 279, No. 2, 559--584 (2008):
  "Typical Support and Sanov Large Deviations of Correlated States",
  with Bjelakovic, T. Krüger, R. Seiler, Ra. Siegmund-Schultze
  
  
• Comm. Math. Phys. Vol. 265, No. 2, 437--461 (2006):
  "Entropy and Algorithmic Complexity in Quantum Information Theory:
  A Quantum Brudno's Theorem",
  with F. Benatti, T. Krüger, M. Müller, Ra. Siegmund-Schultze
  
  
• Comm. Math. Phys. Vol. 260, No. 3, 659--671 (2005):
  "A Quantum Version of Sanov's Theorem",
  with I. Bjelakovic, J.-D. Deuschel, T. Krüger, R. Seiler, Ra. Siegmund-Schultze
  
  
• Quant. Inform. Proc. Vol. 4, No. 1, 49--63 (2005):
  "The data compression theorem for ergodic quantum information sources",
  with I. Bjelakovic
  
  
• Invent. Math. 155 Nr. 1 (2004):
  "The Shannon-McMillan theorem for ergodic quantum lattice systems",
  with I. Bjelakovic, T. Krüger, Ra. Siegmund-Schultze

Submitted Manuscripts and Preprints

• arXiv:1108.3984 (2011):
  "Process Dimension of Classical and Non-Commutative Processes",
  with W. Löhr, N. Ay
  
  
• SFB 288 preprint 581 (2003):
  "Chained typical subspaces-A quantum version of Breiman's theorem",
  with I. Bjelakovic, T. Krüger, Ra. Siegmund-Schultze

Thesis:

• "The Shannon-McMillan-Theorem and Related Results for Ergodic Quantum Spin Lattice Systems
  and Applications in Quantum Information Theory" pdf-file