Preface -- Contents -- First Appearance -- List of Contributors -- Introduction to Quantum Statistical Inference -- Part 1 - Hypothesis Testing -- Introduction to Part I -- Strong Converse and Stein's Lemma in Quantum Hypothesis Testing -- The Proper Formula for Relative Entropy and its Asymptotics in Quantum Probability -- Strong Converse Theorems in Quantum Information Theory -- Asymptotics of Quantum Relative Entropy from a Representation Theoretical Viewpoint -- Quantum Birthday Problems: Geometrical Aspects of Quantum Random Coding -- Part II - Quantum Cramér-Rao Bound in Mixed States Model -- Introduction to Part II -- A New Approach to Cramér-Rao Bounds for Quantum State Estimation -- On Fisher Information of Quantum Statistical Models -- On the Parameter Estimation Problem for Quantum Statistical Models -- A Generalization of the Simultaneous Diagonalization of Hermitian Matrices and its Relation to Quantum Estimation Theory -- A Linear Programming Approach to Attainable Cramér-Rao Type Bounds -- Statistical Model with Measurement Degree of Freedom and Quantum Physics -- Asymptotic Quantum Theory for the Thermal States Family -- State Estimation for Large Ensembles -- Part III - Quantum Cramér-Rao Bound in Pure States Model -- Introduction to Part III -- Quantum Fisher Metric and Estimation for Pure State Models -- Geometry of Quantum Estimation Theory -- An Estimation Theoretical Characterization of Coherent States -- A Geometrical Approach to Quantum Estimation Theory -- Part IV - Group Symmetric Approach to Pure States Model -- Introduction to Part IV -- Asymptotic Estimation Theory for a Finite-Dimensional Pure State Model -- Optimal Universal Quantum Cloning and State Estimation -- Bounds for Generalized Uncertainty of Shift Parameter -- Optimal Extraction of Information from Finite Quantum Ensembles.

Part V - Large Deviation Theory in Quantum Estimation -- Introduction to Part V -- On the Relation between Kullback Divergence and Fisher Information: From Classical Systems to Quantum Systems -- Two Quantum Analogues of Fisher Information from a Large Deviation Viewpoint of Quantum Estimation -- Estimating the Spectrum of a Density Operator -- Part IV - Further Topics on Quantum Statistical Inference -- Introduction to Part VI -- Optimal Quantum Clocks -- Quantum Channel Identification Problem -- Homodyning as Universal Detection -- On the Measurement of Qubits -- Index.