Physics Quantum Information Theory / Nakata Yoshifumi

Product description ※Please note that product information is not in full comprehensive meaning because of the machine translation.

Physics
[Introduction to the Contents]
- Beginners who are interested in quantum information can learn the basic ideas from scratch and deepen their understanding to a level that can lead to research.
- Part I : Review of quantum theory
1. Mathematical notation
Hilbert space and Dirac notation, tensor product / bounded operator / Pauli operator and Clifford operator / matrix value function / polar decomposition and singular value decomposition
2. General framework of quantum theory
Five Axioms of quantum theory / mixed state / time evolution / generalized quantum measurement
Part II : Fundamentals of quantum information
3. Fundamentals of quantum information science
Various Scales / Clonable / Impossible Theorems / Quantum State Identification / Distance and Singular Value Decomposition
4. Fundamentals of quantum information science
Various Scales / Clonable / Impossible Theorems / Quantum State Identification / Distance and ability
5. Fundamentals of quantum state and quantum channel
Various Scales / Clonable / Impossible Theorem / Quantum State Identification / Distance and Distinguishability
5. Applications of entropy
Fundamental protocols for noiseless quantum communication
Combinations of communication protocols / communication resources / complete characterization
6. Information sources and compression of preskill protocol
Decoupling approach / Hamiltonian time evolution / random coding and code collision / Petz mapping / Yoshida-Kitaev decoding
17. Haar random unitary and unitary design
Moment operator and frame potential / Haar measure / unitary t-design and state t-design / Approximate generation method using quantum circuit
Appendix
Literature
Index superactivation