Plans for the second week, January 27-31
Dear all, welcome back. We hope you've had a great start of the week. With this mail we'd like to give you an overview of these week's plans, with exercises and links to possible reading recommendations.
We will start with a review from last week and then move to these week's topics. That is:
Summary from last week and plans for this week
Last week we:
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defined the state vector and the associated notation
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introduced the inner product and showed how to calculate it in an orthonormal basis
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introduced outer products and projection operators
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introduced tensor products and showed how to construct state vectors for multiple qubits
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introduced the spectral decomposition of operators
This week's plans
We will repeat some of the topics from last week and discuss.
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tensor products of Hilbert Spaces and definition of Computational basis, partly repetition from last week
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Reminder on spectral Decomposition from last week
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Bloch sphere and representation of qubits
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Spectral Decomposition (again), Measurements and Density matrices
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Wave function collapse as a result of measurement
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Entanglement and relations to density matrices
- Reading recommendation: Scherer, Mathematics of Quantum Computations, parts of chapter 2 and sections 3.1-3.3 and Hundt, Quantum Computing for Programmers, chapter 2.1-2.5. Hundt's text is relevant for the programming part where we build from scratch the ingredients we will need.
See also at the of the slides for the weekly exercises. We recommend starting with the computational exercises. Next week we will namely focus on computations with the Bell states and the set up of gates.
Else, note that I changed the zoom link to my UiO account and the permanent zoom link will now be (for the rest of the semester) is now https://uio.zoom.us/my/mortenhj
Please use this zoom link.
Else, I have not yet redone the video from last week, please feel free to use the one from last year at https://youtu.be/YRobDADb63E
Best wishes to you all,
Morten and Odin