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Course, academic year 2024/2025
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Quantum information in curved spacetime - NTMF095
Title: Quantum information in curved spacetime
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2024
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: English, Czech
Teaching methods: full-time
Additional information: http://utf.mff.cuni.cz/vyuka/NTMF095/
Guarantor: prof. Mgr. David Kubizňák, Ph.D.
prof. RNDr. Pavel Krtouš, Ph.D.
Comes under: Doporučené přednášky 2/2
Annotation -
In this course, we shall study some fascinating phenomena that arise when the fields of general relativity, quantum field theory, and quantum information are put together. In particular, we shall discuss how to locally measure quantum fields in curved spacetime by using particle Unruh-de Witt (UdW) detectors, and show how such detectors can be used to uncover global spacetime features. We shall also review the Unruh effect, study entanglement harvesting, discuss quantum energy teleportation, and more. Basic knowledge of general relativity and quantum theory is required.
Last update: Houfek Karel, doc. RNDr., Ph.D. (12.05.2023)
Course completion requirements -

Oral exam

Last update: Houfek Karel, doc. RNDr., Ph.D. (10.05.2023)
Literature -

Birrell N. D., Davies P. C. W.: Quantum fields in curved space (Cambridge University Press, Cambridge, 1984)

Mukhanov V., Winitzki S.: Introduction to Quantum Effects in Gravity (Cambridge University Press, Cambridge, 2007)

+ arxiv papers

Last update: Houfek Karel, doc. RNDr., Ph.D. (10.05.2023)
Requirements to the exam -

The oral examination follows the syllabus of the course as covered by the lectures.

Last update: Houfek Karel, doc. RNDr., Ph.D. (12.05.2023)
Syllabus -

Preliminary content:

1) Measuring quantum fields: UDW detectors, quantum optics approximation

2) Unruh effect: Gibbs, KMS condition, detailed balance

3) Quantum detection of spacetime features

4) Entanglement harvesting

5) Quantum collect calling

6) Quantum energy teleportation

Last update: Houfek Karel, doc. RNDr., Ph.D. (10.05.2023)
 
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