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Fault-tolerant, error-corrected quantum computation is commonly acknowledgedto be crucial to the realisation of large-scale quantum algorithms that couldlead to extremely impactful scientific or commercial results. Achieving auniversal set of quantum gate operations in a fault-tolerant error-correctedframework suffers from a `conservation of unpleasantness'. In general, nomatter what error correction technique is employed, there is always one elementof a universal gate set that carries a significant resource overhead - eitherin physical qubits, computational time, or both. Specifically, this is due tothe application of non-Clifford gates. A common method for realising thesegates for stabiliser codes such as the surface code is a combination of threeprotocols: state injection, distillation and gate teleportation. Theseprotocols contribute to the resource overhead compared to logical operationssuch as a CNOT gate and contributes to the qubit resources for anyerror-corrected quantum algorithm. In this paper, we introduce a very simpleprotocol to potentially reduce this overhead for non-Clifford gates:Transversal Injection. Transversal injection modifies the initial physicalstates of all data qubits in a stabiliser code before standard encoding andresults in the direct preparation of a large class of single qubit states,including resource states for non-Clifford logic gates. Preliminary resultshint at high quality fidelities at larger distances and motivate furtherresearch on this technique.

Transversal Injection: A method for direct encoding of ancilla states for non-Clifford gates using stabiliser codes