2026-06-29T08:01:07Zhttps://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

Quantum computations on a topologically encoded qubit Nigg, Daniel Müller, Markus Martínez, Esteban A. Schindler, Philipp Hennrich, Markus Monz, Thomas Martín-Delgado Alcántara, Miguel Ángel Blatt, Rainer 53 Error-correcting codes Trapped ions Realization Computers Threshold Circuits Memory. Física-Modelos matemáticos © The Authors. We gratefully acknowledge support by the Spanish MICINN grant FIS2009-10061, FIS2012-33152, the CAM research consortium QUITEMAD S2009-ESP-1594, the European Commission PICC: FP7 2007-2013, Grant No. 249958, the integrated project SIQS (grant No. 600645), the UCM-BS grant GICC-910758, and by the Austrian Science Fund (FWF), through the SFB FoQus (FWF Project No. F4002-N16), as well as the Institut f¨ur Quanteninformation GmbH. This research was supported by the U.S. Army Research Office through grant W911NF14-1-0103. 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. Unión Europea. FP7 Ministerio de Ciencia e Innovación (MICINN) Comunidad de Madrid Universidad Complutense de Madrid/Banco de Santander Austrian Science Fund (FWF) U.S. Army Research Office Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-19T15:14:20Z 2023-06-19T15:14:20Z 2014-07-18 journal article https://hdl.handle.net/20.500.14352/35594 0036-8075 10.1126/science.1253742 eng PICC (249958) SIQS (600645) (FIS2009-10061, FIS2012-33152) QUITEMAD (S2009/ESP-1594) GICC-910758 SFB FoQus (FWF Project No. F4002-N16) (W911NF14-1-0103) open access application/pdf Amer Assoc Advancement Science