![]() The entire topic of magic state distillation is based on the classification of certain operations (including the performance of Clifford gates) as low-cost operations, while, for instance, performing the toffoli-gate or the. This is why the tension between fault-tolerance and universality expressed in the Eastin-Knill theorem does not dissuade people from working to build quantum computers. And otherwise too, emphasize on Clifford gates (i.e., even when not performing encoded Clifford gates in quantum codes). If a code implements fault-tolerant Cliffords using constructions other than transversality, then a transversal $T$ gate is not necessarily ruled out. With no foreknowledge, Stim can analyze a distance 100 surface code circuit (20 thousand qubits, 8 million gates, 1 million measurements) in 15 seconds and then begin sampling full circuit shots at. The paper explains how Stim works and compares it to existing tools. $^1$ Note that the transversal construction isn't the only way to realize fault-tolerant logical gates. This paper presents Stim', a fast simulator for quantum stabilizer circuits. Thus, in a sense, the combination of finite size and closure under composition prevents every set of transversal logical operators from being universal. We therefore investigate the non-Clifford resource requirements for simulation of quantum hydrodynamics using mana, a resource theory of non-Clifford operations. However, the set cannot be closed under composition. Near-Clifford simulation algorithms are not limited to one dimension, and future error-corrected quantum computers will likely be bottlenecked by non-Clifford operations. The Clifford group CliffN consists of all unitary matrices g CN×N for which gD. However, universal gatesets, such as $\textT$ is one example of such set. quantum error correction introduced in 2, 4, 5 and des- cribed in. ![]() TL DR: It is not true that $T$ gate can't be implemented transversally.
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