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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

Surface codes

Introduction

On this platform, several physical systems are explored for their use in quantum computing. However, none of these systems perform sufficiently well to serve directly as computational qubits. It is possible to construct a logical qubit from a collection of physical qubits, such that the logical qubit performs much better than the individual physical qubits. One approach to building such logical qubits is based on surface codes, operating as stabilizer codes. 

Did you see these surface codes before but didn't fully understand the diagrams? In this video, postdoctoral researcher Ben Criger gives an in-depth explanation of how these surface codes operate and how to interpret the diagrams. 

Prerequisite knowledge

 

Further thinking

Can you tell why someone would be interested in these kind of codes? 

We have seen n=9 physical qubits have been used to encode 1 logical qubit. This seems like a waste of qubits, but it is not. What is the advantage in the long term?

Solution

Further reading