part Part 1: Quantum Computation -- chapter 1 Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit / chapter 2 A Realization Scheme for Quantum Multi-Object Search / chapter 3 On Interpolating between Quantum and Classical Complexity Classes / chapter 4 Quantum Algorithms for Hamiltonian Simulation / part Part 2: Quantum Technology -- chapter 5 New Mathematical Tools for Quantum Technology / chapter 6 The Probabilistic Nature of Quantum Mechanics / chapter 7 Superconducting Quantum Computing Devices / chapter 8 Nondeterministic Logic Gates in Optical Quantum Computing / part Part 3: Quantum Information -- chapter 9 Exploiting Entanglement in Quantum Cryptographic Probes / chapter 10 Nonbinary Stabilizer Codes / chapter 11 Accessible information about quantum states: An open optimization problem / chapter 12 Quantum Entanglement: Concepts and Criteria / chapter 13 Parametrizations of Positive Matrices With Applications / chapter 14 Quantum Computing and Quantum Topology / chapter 15 Temperley–Lieb Algebra: From Knot Theory to Logic and Computation via Quantum Mechanics / chapter 16 Quantum measurements without sums