A proposal for a minimal surface code experiment

Autor: Wootton, James R., Peter, Andreas, Winkler, Janos R., Loss, Daniel
Rok vydání: 2016
Předmět:
Zdroj: Phys. Rev. A 96, 032338 (2017)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.96.032338
Popis: Current quantum technology is approaching the system sizes and fidelities required for quantum error correction. It is therefore important to determine exactly what is needed for proof-of-principle experiments, which will be the first major step towards fault-tolerant quantum computation. Here we propose a surface code based experiment that is the smallest, both in terms of code size and circuit depth, that would allow errors to be detected and corrected for both the $X$ and $Z$ basis of a qubit. This requires $17$ physical qubits initially prepared in a product state, on which $16$ two-qubit entangling gates are applied before a final measurement of all qubits. A platform agnostic error model is applied to give some idea of the noise levels required for success. It is found that a true demonstration of quantum error correction will require fidelities for the preparation and measurement of qubits and the entangling gates to be above $99\%$.
Comment: Additional author and numerics for v3
Databáze: arXiv