Large-scale quantum computation is likely to require massive quantum error correction (QEC). QEC codes and circuits aredescribed via the stabilizer formalism, which represents stabilizer states by keeping track of the operators that preserve them. Suchstates are obtained by stabilizer circuits (consisting of CNOT, Hadamard and Phase only) and can be represented compactly onconventio...

Fault tolerant quantum error correction (QEC) networks are studied by a combination of numerical and approximate analytical treatments. The probability of failure of the recovery operation is calculated for a variety of CSS codes, including large block codes and concatenated codes. Recent insights into the syndrome extraction process, which render the whole process more efficient and more noise...

One of the most promising physical properties for implementing quantum technology is light polarization. However, since light polarization is fragile, it is crucial to use quantum error correction (QEC) in order to make quantum information over optical networks feasible. This paper performs a statistical analysis of a redundant-free technique to correct errors on information sent through light ...

In some quantum computing architectures, entanglement of an arbitrary number qubits can be generated in a single operation. This property has many potential applications, and may specifically useful for error correction (QEC). Stabilizer measurements then implemented using multiqubit gate instead several two-qubit gates, thus reducing circuit depth. this study, the toric code is used as benchma...

‘‘And then one day I walked down the street and I realized that I felt like a minority. I felt like I was an English-speaking part of a group of Montreal and Quebec and that I was actually a minority. And it was the strangest feeling to be inside Canada that’s English, but inside Quebec that’s French. Inside Montreal or this area in English, and still be a minority inside of a majority.’’ (QEC/...

Fault-tolerant quantum error correction (QEC) is crucial for unlocking the true power of computers. QEC codes use multiple physical qubits to encode a logical qubit, which protected against errors at qubit level. Here we trapped ion system experimentally prepare $m$-qubit GHZ states and sample measurement results construct $m\times m$ $[[m^2,1,m]]$ Shor code, up $m=7$. The synthetic fidelity sh...

If a quantum computer is stabilized by fault-tolerant quantum error correction (QEC), then most of its resources (qubits and operations) are dedicated to the extraction of error information. Analysis of this process leads to a set of central requirements for candidate computing devices, in addition to the basic ones of stable qubits and controllable gates and measurements. The logical structure...