Woo Chang Chung, Daniel C. Cole, Pranav Gokhale, Eric B. Jones, Kevin W. Kuper, David L. Mason, Victory Omole, A. G. Radnaev, Rich Rines, Mariesa H. Teo, Matt J. Bedalov, Matt Blakely, Peter. D. Buttler, Caitlin Carnahan, Frederic T. Chong, Palash Goiporia, Bettina Heim, Garrett Hickman, Ryan Jones, Pradnya Khalate, Jinsung Kim, Martin Lichtman, Stephanie J. Lee, Nathan A. Neff-Mallon, Thomas Noël, M. Saffman, Efrat Shabtai, Bharath Thotakura, Teague Tomesh, A. Tucker
Abstract We report on the fault-tolerant operation of logical qubits on a neutral atom quantum computer, with logical performance surpassing physical performance for multiple circuits including Bell state preparation (12x error reduction), random circuits (15x), and a prototype Anderson Impurity Model ground state solver for materials science applications (up to 6x, non-fault-tolerantly). The logical qubits are implemented via the [[4, 2, 2]] code (C 4 ). Our work constitutes the first complete realization of the benchmarking protocol proposed by Gottesman 2016 demonstrating results consistent with fault tolerance. In light of recent advances on applying concatenated C 4 /C 6 detection codes to achieve error correction with high code rates and thresholds, our work can be regarded as a building block towards a practical scheme for fault tolerant quantum computation. Our demonstration of a materials science application with logical qubits particularly demonstrates the immediate value of these techniques on current experiments.