- Department: Mathematics
- Credit value: 20 credits
- Credit level: H
- Academic year of delivery: 2023-24
- See module specification for other years: 2024-25
This module is taught at both H and M level. You can only take the module once.
This module cannot be taken in year4 of MMath; the M-level option is MSc only
Pre-requisite module: Quantum & Continuum Dynamics
Occurrence | Teaching period |
---|---|
A | Semester 1 2023-24 |
This module will introduce quantum theory for finite-dimensional spaces in an axiomatic way. This setting is particularly appropriate to discuss recent and important applications of quantum theory. Examples drawn mainly from quantum information, will include powerful quantum algorithms and novel quantum cryptographic protocols that have no classical counterparts.
Familiarity with the axiomatic structure of quantum theory in a finite-dimensional setting
Understanding of essential quantum features such as quantum states, measurements, the role of probability and the bra-ket notation
Understanding of the ways in which quantum information is more powerful than classical
Be able to understand and construct simple quantum circuits
Understand what a universal quantum computer is
In the past few decades a quantum mechanical theory of information has emerged. The central idea is that processing of information requires physical objects and hence physics provides the ultimate limitations on information processing. For microscopic systems, quantum mechanics provides the correct physical description and opens up new possibilities to perform tasks in ways that would be impossible based on classical information alone. This course will systematically develop the required tools from quantum theory before presenting applications such as quantum computing and quantum cryptography that are active research areas.
Task | % of module mark |
---|---|
Closed/in-person Exam (Centrally scheduled) | 100 |
None
Task | % of module mark |
---|---|
Closed/in-person Exam (Centrally scheduled) | 100 |
Current Department policy on feedback is available in the student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
M A Nielsen & I L Chang, Quantum Computation and Quantum Information. Cambridge University Press, 2000