Quantum maps are central objects that allow the manipulation of quantum states and resources. However, not all maps are created equal, and some may be more valuable than others in performing certain resource conversions. For this reason, transforming a quantum map into another, possibly more desirable one, becomes a relevant and crucial task in quantum information processing. Such a...
A long-standing challenge in quantum error correction is the infeasibility of universal transversal gates, as shown by the Eastin- Knill theorem. We show that the Eastin-Knill no-go result is a special case that does not hold for a general error model and obtain a necessary and sufficient condition for a quantum error-correcting code to have universal transversal gates. Introducing a Lie...
Scalable, fault-tolerant quantum computing depends on the development of efficient quantum error correction codes. While many good quantum low-density parity-check (qLDPC) codes have been introduced, there is still potential to discover better ones, particularly for small numbers of qubits relevant to the current era of noisy intermediate-scale quantum devices. This research systematically...
