PH4207 : Quantum Information Processing (Spring 2025)

Details of PH4207 (Spring 2025)

Level: 4

Type: Theory

Credits: 4.0

Course Code	Course Name	Instructor(s)
PH4207	Quantum Information Processing	Chiranjib Mitra

Preamble
Intermediate Quantum Mechanics, Basic Statistical Mechanics, Basic Condensed Matter Physics

Syllabus
Motivation and Introduction: Classical and quantum computers; Strong and Weak Turing hypothesis (Church-Turing version etc); Efficient and Inefficient algorithms; Advantages of quantum computation; Single qubit operations and measurements; State space of two qubits; Multi-component systems and Product basis; Tensor products; multi-qubit operations. Quantum Cryptography: Classical and Quantum Cryptography; The BB84 quantum key distribution protocol; Elementary discussion of security; Physical implementations. Entanglement: Entangled states; Bells inequality; Entanglement based cryptography; Quantum Dense Coding; Quantum Teleportation; Entanglement Swapping; von-Neumann entropy; Quantification of pure state entanglement. Mixed state entanglement; quantification of mixed state entanglement Concurrence. Quantum Algorithms and Computation: Quantum no-cloning; The Deutsch-Jozsa algorithm; Quantum simulations; Quantum logic gates and circuits; Universal quantum gates; Quantum Fourier Transform; Phase Estimation; Shors algorithm; Grovers algorithm. Decoherence and Quantum Error Correction: Decoherence; Errors in quantum computation and communication; Quantum error correcting codes; Elementary discussion of entanglement concentration and distillation. Physical Realization of Quantum Computers

Syllabus

Motivation and Introduction: Classical and quantum computers; Strong and Weak Turing hypothesis (Church-Turing version etc); Efficient and Inefficient algorithms; Advantages of quantum computation; Single qubit operations and measurements; State space of two qubits; Multi-component systems and Product basis; Tensor products; multi-qubit operations.
Quantum Cryptography: Classical and Quantum Cryptography; The BB84 quantum key distribution protocol; Elementary discussion of security; Physical implementations.
Entanglement: Entangled states; Bells inequality; Entanglement based cryptography; Quantum Dense Coding; Quantum Teleportation; Entanglement Swapping; von-Neumann entropy; Quantification of pure state entanglement. Mixed state entanglement; quantification of mixed state entanglement Concurrence.
Quantum Algorithms and Computation: Quantum no-cloning; The Deutsch-Jozsa algorithm; Quantum simulations; Quantum logic gates and circuits; Universal quantum gates; Quantum Fourier Transform; Phase Estimation; Shors algorithm; Grovers algorithm.
Decoherence and Quantum Error Correction: Decoherence; Errors in quantum computation and communication; Quantum error correcting codes; Elementary discussion of entanglement concentration and distillation.
Physical Realization of Quantum Computers

References
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, South Asian Edition (2002)

Sl. No.	Programme	Semester No	Course Choice
1	IP	2	Elective
2	IP	4	Elective
3	IP	6	Not Allowed
4	MP	2	Not Allowed
5	MP	4	Not Allowed
6	MR	2	Elective
7	MR	4	Not Allowed
8	MS	10	Elective
9	MS	4	Not Allowed
10	MS	6	Not Allowed
11	MS	8	Elective
12	RS	1	Elective
13	RS	2	Elective