A closed-form resource estimation tool for concatenated quantum error correction reveals that magic-state operations rarely dominate qubit costs, with general optimizations providing orders-of-magnitude larger reductions than magic-specific ones.
Magic state parity-checker with pre-distilled components
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abstract
Magic states are eigenstates of non-Pauli operators. One way of suppressing errors present in magic states is to perform parity measurements in their non-Pauli eigenbasis and postselect on even parity. Here we develop new protocols based on non-Pauli parity checking, where the measurements are implemented with the aid of pre-distilled multiqubit resource states. This leads to a two step process: pre-distillation of multiqubit resource states, followed by implementation of the parity check. These protocols can prepare single-qubit magic states that enable direct injection of single-qubit axial rotations without subsequent gate-synthesis and its associated overhead. We show our protocols are more efficient than all previous comparable protocols with quadratic error reduction, including the protocols of Bravyi and Haah.
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quant-ph 1years
2024 1verdicts
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Magic states are rarely the best resource to optimize: An analytical tool for qubit resource estimation in concatenated codes
A closed-form resource estimation tool for concatenated quantum error correction reveals that magic-state operations rarely dominate qubit costs, with general optimizations providing orders-of-magnitude larger reductions than magic-specific ones.