Use cases & realizations

Use cases & fit

Platforms: trapped-ion-all-to-all neutral-atom-reconfigurable

Tasks: memory computation logical-operations

Physical realizations

• trapped-ion seven-qubit register demonstrated

  Seven trapped ions realized the color-code presentation of the Steane logical qubit and encoded Clifford operations. This established a full encoded block, not distance scaling.

  References: nigg2014topological

• trapped-ion QCCD with real-time feedback demonstrated

  Repeated syndrome extraction, classical lookup, and conditional correction were executed in one real-time control loop, demonstrating active fault-tolerant error correction rather than postprocessed error detection alone.

  References: ryananderson2021realtime

• trapped-ion logical processor demonstrated

  Fault-tolerant Clifford operations were combined with logical magic-state preparation and injection; separate two-block experiments implemented encoded entangling operations. Universality belongs to this protocol stack, not to Steane transversality alone.

  References: postler2022universal, ryananderson2022entangling

• trapped-ion encoded-ancilla and flag extraction demonstrated

  Multiple rounds of Steane-style encoded-ancilla recovery were compared experimentally with flag-based extraction, making the syndrome gadget and ancilla budget part of the reported result.

  References: postler2024steaneec

• reconfigurable neutral-atom arrays demonstrated

  Many seven-qubit color-code blocks were operated inside a movable-atom logical processor with transversal inter-block gates. This is a multi-block logical-operation result, not a growing-distance Steane memory.

  References: bluvstein2024logical

• trapped-ion Reed-Muller-to-Steane switching demonstrated

  A logical magic state was converted from a fifteen-qubit Reed-Muller block into Steane and then certified. The non-Clifford resource came from switching and postselected state preparation, not a transversal Steane T gate.

  References: daguerre2025magic