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Fundamentals

01 /Quantum computers with magical advantage? 02 /Bra-ket notation 03 /Born rule 04 /Bloch sphere 05 /Measurement operators 06 /Experimental and theoretical measurements 07 /How to measure in any basis 08 /State decomposition 09 /Why every maximally entangled state is secretly a Bell state 10 /Coherence 11 /Relaxation 12 /Quantum materials: the environment of a qubit 13 /Introduction to quantum error correction (QEC) 14 /Multiqubit systems 15 /Multiqubit gates 16 /Entanglement 17 /Measuring multiqubit systems 18 /Superdense coding 19 /Teleportation 20 /Entanglement swapping

Multiqubit systems

We can now extend what we have learned so far for a single qubit to systems of multiple qubits. In this video David Elkouss (QuTech) introduces the topics of this module and of the following videos. You will learn that typically quantum mechanical phenomena emerge when going from one qubit to many.

Prerequisite knowledge

So far you learned how to express a single qubit state in the braket notation and its representation on the Bloch sphere. In this video, David Elkouss (QuTech) will explain more in detail how these concepts extend to two and multiple qubit systems.

Further thinking

If you take the tensor product of a 3x4 and a 1x2 matrix (n x m means n rows and m columns), what are the dimensions of the new matrix?

How many complex parameters are needed to describe the state of 4 qubits?

Solutions

Further reading

For a more detailed explanation on Multi-qubit systems see section 1.2.1 in M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information, 10th anniversary ed. Cambridge ; New York: Cambridge University Press, 2010.