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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

Quantum error correction

We can already make basic quantum computers. However, these quantum computers are subject to errors due to the nature of qubits. When these errors become too large, our computer might not be calculating the thing we wanted, but something completely different! 

We can detect and correct these errors using quantum error correction. But as we saw earlier, we cannot clone quantum information, and so quantum error correction has to work differently from its classical counterparts. 

 

Prerequisite knowledge

 

Now let’s see some quantum error correction schemes in a bit more detail.

 

Further thinking

Since we cannot clone quantum information, quantum error correction cannot be done by simply storing the same state multiple times. An example of a quantum error-correcting code is the Shor 9-qubit code. Can you figure out why this does not violate the no-cloning theorem?

Solutionhttps://www.qutube.nl/quantum-computer-28/quantum-error-correction-285

 

Further reading