PH-505 Introduction to Quantum Information and Computation

1. Introduction and overview, history of quantum information and computation, quantum bit, entanglement, example of EPR or Bell states
2. Quantum computation: Single and multiple qubit gates, quantum circuits, quantum copying circuit
3. Quantum teleportation and superdense coding
4. The density operator: ensemble of quantum states, general properties of density operator, reduced density operator, postulates of quantum mechanics in density operator formulism
5. Schmidt decomposition and purification
6. Entropy and information: Shannon entropy, basic properties of entropy, binary entropy, relative entropy, conditional entropy and mutual information, von-Neuman entropy and its basic properties

References:

1. Quantum Computation and Quantum Information, M.A. Nielson and I.I Chuang, Cambridge University Press (2000)
2. Approaching Quantum Computing, D.C. Marinescu and G.M. Marinescu, Pearson Prentice Hall (2005)

Recommended texts:

• Quantum Computation and Quantum Information, Michael A. Nielson and Issac L. Chuang (Cambridge, 2000).
• Elements of Information Theory, by J. A. Thomas and T. M. Cover, publisher: Wiley Series (2006).
• The Physics of quantum information, by A. K. Bouwmeester, A. Ekert and D. Zeilinger, publisher: Springer, 1st Edition (2000).