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Quantum Computer

01 /Quantum Computers 02 /How to build a qubit 03 /Spin qubits (beginner level) 04 /Operations on spin qubits (beginner level) 05 /Electron spin qubits 06 /Capturing a single electron 07 /Quantum dot qubits 08 /Quantum control and readout 09 /Qubit errors 10 /NV center qubits 11 /Operations on NV center qubits 12 /The Transmon Qubit - A basis for the Quantum Computer 13 /Operations on the Transmon Qubit - Circuit QED 14 /Single-qubit operations on the Transmon qubit 15 /Measurements on the Transmon Qubit 16 /Two-qubit operations on the Transmon qubit 17 /Topological qubits: Anyons 18 /Operations on anyons: Braiding 19 /Operations on anyons: Real-life experiments 20 /Topological quantum computing: Majorana fermions and where to find them 21 /Majorana bound states in superconductors 22 /How do you measure Majorana bound states? 23 /A framework for the future Quantum Computer 24 /The Building Blocks of a Quantum Computer 25 /How to build a Quantum Algorithm - Quantum Circuits 26 /How do you program a quantum algorithm? 27 /The compiler of a quantum computer 28 /Micro-architectures 29 /How do we connect our quantum system to a classical interface? 30 /Assembling a Quantum Processor 31 /Microwave drivers for qubits 32 /Implementation of microwave drivers 33 /Quantum error correction 34 /Surface codes 35 /Fault-tolerant Quantum Error Correction with surface codes

Single-qubit operations on the Transmon qubit

Before we can perform any kind of quantum algorithm with a qubit, we need some level of control over its state. For example, we might want to flip its state. All local operations of this kind are done using single-qubit gates. In this video, Ph.D. student Brian Tarasinski will discuss the method for applying a single-qubit gate on the transmon qubit. We will see that this method heavily relies on Rabi oscillations.

To perform efficient quantum computations, we want these single-qubit gates to be as quick and reliable as possible. After explaining the Rabi oscillations, Brian will explain why performing these gates quickly is a problem. Luckily there are some solutions that might solve this problem. Take a look at the video!

Prerequisite knowledge

  • Bloch sphere
  • Quantum energy levels

Further thinking

Do you understand why these second excited state frequencies pop up? Hint: Take a look at the Fourier transform of a rectangular pulse!

Further reading

The introduction of this theoretical paper by N. Kosugi explains Rabi oscillations some more. Although they quickly dive into big Hamiltonians and complicated mathematical functions, try to stick with it!

Two lecture videos by prof. Wolfgang Ketterle about the theory behind Rabi oscillations and some experiments.