A 3D lattice defect and efficient computations in topological MBQC

Autor:	Tournaire, Gabrielle, Schwiering, Marvin, Raussendorf, Robert, Bachmann, Sven
Rok vydání:	2024
Předmět:	Quantum Physics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We describe an efficient, fully fault-tolerant implementation of Measurement-Based Quantum Computation (MBQC) in the 3D cluster state. The two key novelties are (i) the introduction of a lattice defect in the underlying cluster state and (ii) the use of the Rudolph-Grover rebit encoding. Concretely, (i) allows for a topological implementation of the Hadamard gate, while (ii) does the same for the phase gate. Furthermore, we develop general ideas towards circuit compaction and algorithmic circuit verification, which we implement for the Reed-Muller code used for magic state distillation. Our performance analysis highlights the overall improvements provided by the new methods. Comment: 27 pages, 13 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.09781 Zobrazit plný text záznamu View this record from Arxiv