Logical CCZ state cultivation
quant-ph
Submitted: 2026-10-14
Updated: 2026-10-14
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sources
- Distilling Magic States in the Bicycle Architecture
- Magic State Distillation using Asymptotically Good Codes on Qudits
- Magic state cultivation: growing T states as cheap as CNOT gates
- Efficient Magic State Cultivation on $\mathbb{RP}^2$
- Cultivating T states on the surface code with only two-qubit gates
- Efficient Magic State Cultivation on the Surface Code
- Efficient magic state cultivation with lattice surgery
- How to factor 2048 bit RSA integers with less than a million noisy qubits
- Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
- Single-Shot Universality in Quantum LDPC Codes via Code-Switching
- Transversal dimension jump for product qLDPC codes
- Lifting Lifted Product Codes
- Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom
- A topological theory for qLDPC: non-Clifford gates and magic state fountain on homological product codes with constant rate and beyond the $N^{1/3}$ distance barrier
- Cups and Gates II: Operads, twists, and addressable intra-code gates
- Zero-level $CCZ$ Distillation
- Lifts of quantum CSS codes
- Moderate-length lifted quantum Tanner codes
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