Entry facet
Use cases & realizations
Where the code fits and what has been demonstrated.
Use cases & fit
Platforms: hardware-agnostic-fixed-block trapped-ion-all-to-all-register photonic-state-preparation
Tasks: exact-small-block-decoding concatenated-quantum-memory encoded-state-preparation coherent-noise-memory-study
Physical realizations
trapped-ion direct encoding demonstrated
The fixed Shor block was directly encoded and its prepared logical states were characterized on a trapped-ion processor. This establishes an encoder and fixed-block state preparation, not repeated fault-tolerant syndrome cycles or an increasing-distance memory threshold.
References: nguyen2021shor
trapped-ion coherent-idling memory test demonstrated
A sign-adjusted distance-three Shor-code sector was implemented and compared under correlated coherent idling. The result is specific to the chosen stabilizer eigenvalues, noise Hamiltonian, and fixed block; it is not a model-independent improvement of the canonical code space.
References: debroy2021optimizing
photonic encoded-state and repeater experiment demonstrated
A photonic nine-qubit Shor state was prepared, while generalized Shor blocks supplied loss protection inside the larger repeater protocol. State preparation and loss-tolerant repeater behavior are distinct from repeated arbitrary-Pauli correction by this fixed memory block.
References: zhang2022loss