Syllabus

Topic

• Hilbert Space
• Operators
•  The Spectral theorem
• Functions of Operators,
• Tensor Products
• The Schmidt Decomposition Theorem

• The state of a quantum system
• Time evolution postulate
• Superposition and composite System
• Measurement postulate
• Mixed  states and general quantum operation

• Quantum model of computation
•  Quantum gates  (one and two qubits gate)
• Universal set of quantum gates
• Measurements with quantum circuits

• Phase kick-back
• The Deutsch Algorithm
• The Deutsch-Jozsa Algorithm
•  Quantum phase estimation and quantum Fourier Transformation.

• Quantum phase estimation and quantum Fourier Transformation.
• Eigenvalue Estimation and finding orders
• Shor’s algorithm

• Search without knowing the success probability.

·         Exam 2.

• Ion Trap Quantum Computer.
• Solid State Spin Quantum Computer.
• Superconductor Quantum Computer.
• Liquid State Quantum Computer