2026-06-27T10:49:31Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/355942023-08-28T08:30:22Zcom_20.500.14352_14col_20.500.14352_15

Nigg, Daniel Müller, Markus Martínez, Esteban A. Schindler, Philipp Hennrich, Markus Monz, Thomas Martín-Delgado Alcántara, Miguel Ángel Blatt, Rainer 2023-06-19T15:14:20Z 2023-06-19T15:14:20Z 2014-07-18 0036-8075 10.1126/science.1253742 https://hdl.handle.net/20.500.14352/35594 http://dx.doi.org/10.1126/science.1253742 http://science.sciencemag.org/ https://arxiv.org/pdf/1403.5426.pdf The construction of a quantum computer remains a fundamental scientific and technological challenge, in particular due to unavoidable noise. Quantum states and operations can be protected from errors using protocols for fault-tolerant quantum computing (FTQC). Here we present a step towards this by implementing a quantum error correcting code, encoding one qubit in entangled states distributed over 7 trapped-ion qubits. We demonstrate the capability of the code to detect one bit flip, phase flip or a combined error of both, regardless on which of the qubits they occur. Furthermore, we apply combinations of the entire set of logical single-qubit Clifford gates on the encoded qubit to explore its computational capabilities. The implemented 7-qubit code is the first realization of a complete Calderbank-Shor-Steane (CSS) code and constitutes a central building block for FTQC schemes based on concatenated elementary quantum codes. It also represents the smallest fully functional instance of the color code, opening a route towards topological FTQC. eng open access Quantum computations on a topologically encoded qubit journal article