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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

Two-qubit operations on the Transmon qubit

We’re getting closer to the total picture! Classically we have logic gates as the building block of our computer. For quantum computers, these are two-qubit gates. And once again, for a qubit to be useful, an important measure is if we can perform these gates with a high fidelity. In this video, Adriaan Rol will elaborate on the two-qubit gate on the Transmon qubit.

But what mediates this interaction between qubits? And what are the experimental challenges when implementing the gates with high fidelity? Adriaan will cover all these questions in the video below.

Prerequisite knowledge

Further thinking

We have seen that introducing a flux changes the difference in the energy levels of the system. This is used in order to couple different qubits, allowing for example the realisation of a c-phase gate. Do you think this gate is enough or should other 2-qubit gates be implemented as well? Why do you think people have implemented a c-phase gate instead of others?

Solution

Further reading

You can read some more about the optimization of the shape of these pulses in this paper by J. Martinis & M. Geller. It is quite a theoretical paper but will give you an idea of the research which is done.

Also, read this nature paper by T. Bekkegaard et al. on the most recent suggestion for optimization of gates on the transmon qubit.