High-fidelity spin qubit operation and algorithmic initialization above 1 K.

Huang, Jonathan Y; Su, Rocky Y; Lim, Wee Han; Feng, MengKe; van Straaten, Barnaby; Severin, Brandon; Gilbert, Will; Dumoulin Stuyck, Nard et al. · Nature · 2024

basic_science · Level V

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Abstract

The encoding of qubits in semiconductor spin carriers has been recognized as a promising approach to a commercial quantum computer that can be lithographically produced and integrated at scale<sup>1-10</sup>. However, the operation of the large number of qubits required for advantageous quantum applications<sup>11-13</sup> will produce a thermal load exceeding the available cooling power of cryostats at millikelvin temperatures. As the scale-up accelerates, it becomes imperative to establish fault-tolerant operation above 1 K, at which the cooling power is orders of magnitude higher<sup>14-18</sup>. Here we tune up and operate spin qubits in silicon above 1 K, with fidelities in the range required for fault-tolerant operations at these temperatures<sup>19-21</sup>. We design an algorithmic initialization protocol to prepare a pure two-qubit state even when the thermal energy is substantially above the qubit energies and incorporate radiofrequency readout to achieve fidelities up to 99.34% for both readout and initialization. We also demonstrate single-qubit Clifford gate fidelities up to 99.85% and a two-qubit gate fidelity of 98.92%. These advances overcome the fundamental limitation that the thermal energy must be well below the qubit energies for the high-fidelity operation to be possible, surmounting a main obstacle in the pathway to scalable and fault-tolerant quantum computation.