In some quantum computing architectures, entanglement of an arbitrary number of qubits can be generated in a single operation. This property has many potential applications, and may specifically be useful for quantum error correction (QEC). Stabilizer measurements can then be implemented using a single multiqubit gate instead of several two-qubit gates, thus reducing circuit depth. In this study, the toric code is used as a benchmark to compare the performance of two-qubit and five-qubit gates within parity-check circuits. We consider trapped ion qubits that are controlled via Raman transitions, where the primary source of error is assumed to be spontaneous photon scattering. We show that a five-qubit Molmer-Sorensen gate offers an approximately 40% improvement over two-qubit gates in terms of the fault tolerance threshold. This result indicates an advantage of using multiqubit gates in the context of QEC.
Comparing two-qubit and multiqubit gates within the toric code
Creators
David Schwerdt (Corresponding Author) - 972WIS_INST___89
Yotam Shapira - 972WIS_INST___89
Tom Manovitz - 972WIS_INST___89
Roee Ozeri - 972WIS_INST___89
Resource Type
Journal article
Publication Details
Physical review. A, Vol.105(2), 022612; 17/Feb/2022
Number of pages
7
Publisher
Amer Physical Soc
Language
English
DOI
https://doi.org/10.1103/PhysRevA.105.022612
Grant note
We thank K. Brown for a useful discussion. This work was performed with the support of the Israeli-Science Foundation under Grants No. 3457/21 and No. 1376/19, The Willner Family Leadership Institute for the Weizmann Institute of Science, The Crown Photonics Center, and the Rosa and Emilio Segre Research Award.