Quantum Information and Communication

Scope of questions for State exams of Master's degree program

Branch: Quantum Technologies

Subject: Quantum Information and Communication

Subjects regarding the questions:

• 02KIK Quantum Information and Communication

1. Quantum information –qubit, pure and mixed states, Bloch sphere, von Neumann entropy, multiple qubits.
   
   
2. Quantum entanglement –reduced states, Bell states, Bell inequalities, entanglement measures, quantum teleportation.
   
   
3. Quantum state discrimination –no-cloning theorem, POVM, minimum error discrimination, unambiguous discrimination.
   
   
4. Quantum key distribution -BB84 and BB92 protocols, security of QKD.
   
   
5. Quantum gates and universality –quantum circuit model, standard quantum gates, computational universality.
   
   
6. Quantum algorithms –Deutsch’s algorithm, Deutsch-Jozsa algorithm, quantum Fourier transformation, Shor’s algorithm, RSA algorithm, Grover’s search algorithm, computational complexity, quantum advantage.
   
   
7. Quantum information in realistic systems –quantum operations, decoherence, quantum error correction.
   
   
8. Realization of quantum circuits –basic principles, linear optics, cavity QED, ion trap.
   
   
9. Quantum computation beyond quantum circuits –measurement based quantum computation, adiabatic quantum computation.
   
   
10. Quantum walks –continuous and discrete time quantum walks on a line, interference of trajectories, ballistic spreading, quantum walk on finite graphs, search with the quantum walk.