Quantum error correction protocols will play a central role in the realisation of quantum
computing; the choice of error correction code will influence the full quantum computing …

Our world, of course, changed in many other ways as well since the publication of the first
edition. The global pandemic impacted all areas of society and will probably transform how …

We present a 1D repetition code based on the so-called cat qubits as a viable approach
toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits …

Quantum error correction is widely thought to be the key to fault-tolerant quantum
computation. However, determining the most suited encoding for unknown error channels or …

Already in the first edition of this book [1], a great number of interesting and important
applications for Josephson junctions were discussed. In the decades that have passed since …

Matching algorithms can be used for identifying errors in quantum systems, being the most
famous the Blossom algorithm. Recent works have shown that small distance quantum error …

We present magic state factory constructions for producing $| CCZ\rangle $ states and $|
T\rangle $ states. For the $| CCZ\rangle $ factory we apply the surface code lattice surgery …

The surface code, with a simple modification, exhibits ultrahigh error-correction thresholds
when the noise is biased toward dephasing. Here, we identify features of the surface code …

We compare the performance of quantum error correcting codes when memory errors are
unitary with the more familiar case of dephasing noise. For a wide range of codes, we …

A quantum computer needs the assistance of a classical algorithm to detect and identify
errors that affect encoded quantum information. At this interface of classical and quantum …