Efficient fidelity simulation of high-rate magic distillation circuits
quant-ph
Submitted: 2026-10-02
Updated: 2026-10-02
Terminology
Sources
- The Heisenberg Representation of Quantum Computers
- Quantum Teleportation is a Universal Computational Primitive
- Magic state cultivation: growing T states as cheap as CNOT gates
- Magic state cultivation on a superconducting quantum processor
- Three-dimensional surface codes: Transversal gates and fault-tolerant architectures
- Quantum Rainbow Codes: Achieving Linear Rate, Growing Distance and Transversal Non-Clifford Gates with Generalised Colour Codes
- Transversal non-Clifford gates for quantum LDPC codes on sheaves
- 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
- Transversal non-Clifford gates on qLDPC codes breaking the $\sqrt{N}$ distance barrier and quantum-inspired geometry with $\mathbb{Z}_2$ systolic freedom
- Transversal dimension jump for product qLDPC codes
- A Finite Presentation of CNOT-Dihedral Operators
- Instantaneous Quantum Computation
- Quantum Complexity: restrictions on algorithms and architectures
- Fold-transversal surface code cultivation
- Cultivating T states on the surface code with only two-qubit gates
- Efficient Magic State Cultivation on the Surface Code
- Efficient Magic State Cultivation on $\mathbb{RP}^2$
- Low-overhead magic state distillation with color codes
- Efficient magic state cultivation with lattice surgery
- Efficient Magic State Distillation by Zero-Level Distillation
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