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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

Quantum error correction

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?

Shor 9-qubit code, or similar quantum error correction schemes, do not violate the no-cloning theorem because they never copy quantum states. By this, we mean that you will never encounter a process like the following:

| Q>  →  |Q>|Q>

These algorithms only use Hadamards and CNOT gates to form a superposition of physical qubits.