Details of PH4202 (Spring 2013)
| Level: 4 | Type: Theory | Credits: 3.0 |
| Course Code | Course Name | Instructor(s) |
|---|---|---|
| PH4202 | Quantum Computation and Quantum Optics | Chiranjib Mitra |
| Syllabus |
|---|
| Prerequisite: Quantum Mechanics II (Sakurai/Shankar), Statistical Mechanics (Pathria/Huang)
Background: Classical and quantum computer, qubit and its physical realization; Single qubit operations and measurements; The Deutsch algorithm; Quantum no-cloning, Density operator, pure and mixed states, Schroedinger, Heisenberg and Interaction pictures. Two level atom interacting with a Classical Field, Spontaneous emission, Optical Bloch equations, Rotating Wave approximation, Rabi Oscillations. Quantum Entanglement: State space of two qubits, Hilbert space, Tensor products, Entangled states; Bells inequality; Entanglement based cryptography; Quantum Dense Coding; Quantum Teleportation; Entanglement Swapping; Polarization entangled photons & implementations, spin qubits; von-Neumann entropy; Quantification of pure state entanglement. Mixed state entanglement, quantification of mixed state entanglement Concurrence. Examples: Entanglement in spin chains. Quantum Theory of Radiation: Quantization of the Electromagnetic Field, Single mode cavity field, free electromagnetic field, Coherent States, Hanbury-Brown and Twiss experiment, Photon statistics, Squeezed states, Interaction of atom with radiation field, Jaynes-Cummings model, Dressed states. Quantum Cryptography: The BB84 quantum key distribution protocol; elementary discussion of security; physical implementations. Quantum Computation: Tensor product structure of the state space of many qubits; Discussion of the power of quantum computers; The Deutsch-Jozsa algorithm; Quantum simulations; Quantum logic gates and circuits; Universal quantum gates; Quantum Fourier Transform; Phase Estimation; Shors algorithm; Grovers algorithm. Decoherence & Quantum Error Correction: Decoherence; Errors in quantum computation & communication; Quantum error correcting codes; Elementary discussion of entanglement concentration & distillation. Physical Realization of Quantum Computers: Ion trap quantum computers; Cavity QED based quantum computers, Solid state implementations (Kane proposal as an example), Quantum Dots quantum computer; NMR quantum computer. |
| References |
|---|
| (i) John Preskill, Lecture notes: http://www.theory.caltech.edu/people/preskill/ph229/
(ii) Nielsen and Chuang: Quantum information and quantum computation (CUP, 2000). (iii) V. Vedral: Introduction to quantum information science (OUP, 2006). (iv) Elements of Quantum Optics, Meystre and Sargent, Springer Verlag, Berlin. |
Course Credit Options
| Sl. No. | Programme | Semester No | Course Choice |
|---|---|---|---|
| 1 | IP | 2 | Elective |
| 2 | IP | 4 | Elective |
| 3 | MS | 8 | Elective |
| 4 | RS | 1 | Elective |