Diagnosing and Restoring the Degraded Fault Distance of Magic State Cultivation

arXiv:2609.17706 · quant-ph · Submitted 2026-09-15 · Read on arXiv

quant-ph

Submitted: 2026-09-15

Updated: 2026-09-30

Code: https://github.com/timchan0/cliffordea

Terminology

• Fidelity — 15× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Distillation — 2× in this paper · explained in 2 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Ancilla Qubits — 1× in this paper · explained in 1 episode
• CSS Codes — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Magic state cultivation: growing T states as cheap as CNOT gates
• Cultivating T states on the surface code with only two-qubit gates
• Efficient Magic State Cultivation on the Surface Code
• Cutting stabiliser decompositions of magic state cultivation with ZX-calculus
• Efficient magic state cultivation with lattice surgery
• Magic state cultivation on a superconducting quantum processor
• Constant-depth magic state cultivation with Clifford measurements by gauging
• Efficient Magic State Cultivation for $\sqrt{T}$ Gates
• Batched high-rate logical operations for quantum LDPC codes
• Measurement-Based Fault-Tolerant Quantum Computation on High-Connectivity Devices: A Resource-Efficient Approach toward Early FTQC
• Simulating Quantum Error Correction beyond Pauli Stochastic Errors
• Efficient Magic State Factory Via Transversal Non-Clifford Gate
• SOFT: a high-performance simulator for universal fault-tolerant quantum circuits
• Computing logical error thresholds with the Pauli Frame Sparse Representation
• Clifft: Fast Exact Simulation of Near-Clifford Quantum Circuits
• SymFT: Universal Fault-Tolerant Quantum Circuit Simulation via Symbolic Clifford--Pauli Frames and Stabilizer Coordinates
• Clifford gates with logical transversality for self-dual CSS codes
• Fault tolerance of stabilizer channels
• The Magic Scroll: Leveraging biased noise to improve magic state cultivation in register-based architectures
• SyQMA: A memory-efficient, symbolic and exact universal simulator for quantum error correction

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