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Quantum Computer Solutions

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

Operations on spin qubits (beginner level)

 We have seen that in order to have a qubit in a quantum dot 2 magnetic fields are needed. One of these is perpendicular to the plane (applied magnetic field), whereas the other one is on it (alternating magnetic field). Can you tell why each of them is needed?

 

A constant magnetic field perpendicular to the plane is needed to have a splitting of the energy levels. This way each spin belongs to a different quantum state and qubits can be encoded. It is important that this magnetic field is constant and perpendicular to the plane.

On the other hand, an alternating magnetic field is needed in order to control the qubits. This needs to be on the plane because it must be perpendicular to the other magnetic field. We have seen that the frequency of the wave needs to match the resonance frequency of the qubit.