Spacetime codes are a relatively recent perspective for constructing and studying QEC and FT. In this perspective, rather than logical operations occurring under a code interspersed with stabilizer measurements, at each location in the circuit (e.g. a point in both space and time) then gives rise to an evolving/dynamic codespace. For Clifford circuits, work like below show to study FT properties of these circuits by analyzing how pauli faults interact with measurements in the circuit. This feels like the next phase for #14, as it helps identify trivial/repeated faults that are nonetheless correctable, but are so because of the structure of the circuit and measurements.
This task will require further study of these techniques and identifying spacetime code properties that a tool like ucc-ft would aid in calculating and studying.
- D. Gottesman, “Opportunities and Challenges in Fault-Tolerant Quantum Computation,” Oct. 28, 2022, arXiv: arXiv:2210.15844. doi: 10.48550/arXiv.2210.15844.
- A. Pesah, A. K. Daniel, I. Tzitrin, and M. Vasmer, “Fault-tolerant transformations of spacetime codes,” Sept. 11, 2025, arXiv: arXiv:2509.09603. doi: 10.48550/arXiv.2509.09603.
Spacetime codes are a relatively recent perspective for constructing and studying QEC and FT. In this perspective, rather than logical operations occurring under a code interspersed with stabilizer measurements, at each location in the circuit (e.g. a point in both space and time) then gives rise to an evolving/dynamic codespace. For Clifford circuits, work like below show to study FT properties of these circuits by analyzing how pauli faults interact with measurements in the circuit. This feels like the next phase for #14, as it helps identify trivial/repeated faults that are nonetheless correctable, but are so because of the structure of the circuit and measurements.
This task will require further study of these techniques and identifying spacetime code properties that a tool like ucc-ft would aid in calculating and studying.