Fig. 2: Ground-state preparation.
From: Non-Abelian braiding of Fibonacci anyons with a superconducting processor
a, Illustrative quantum circuit for preparing the ground state with time flowing to the right. Starting with all the qubits in the |0〉 state, we project each plaquette to the ground state of the corresponding Bp operator in an order indicated by the yellow hexagons. The circuit consists of single-qubit gate US, CNOT gates and F-move gates, which will be decomposed further into elementary gates that are native to our quantum processor. b, Quantum circuits for implementing the F moves shown in a. c, Measured 〈Qv〉 and 〈Bp〉 for the non-Abelian topological ground state prepared in our experiment. A repetition number of 3,000 (300,000) is used to obtain the probability distributions on the computational basis, which are corrected with iterative Bayesian unfolding methods58,59 to mitigate the readout error for obtaining 〈Qv〉 (〈Bp〉).
