Evolving Quantum Circuits

Abstract

We develop genetic algorithms for searching quantum circuits, in particular stabilizer quantum error correction codes. Quantum codes equivalent to notable examples such as the 5-qubit perfect code, Shor's code, and the 7-qubit color code are evolved out of initially random quantum circuits. We anticipate evolution as a promising tool in the NISQ era, with applications such as the search for novel topological ordered states, quantum compiling, and hardware optimization.

15 pages, 16 figures

References in corpus (6)

• Stim: a fast stabilizer circuit simulator
• A Grand Unification of Quantum Algorithms
• Quantum Circuit Simplification and Level Compaction
• Robust Quantum Error Correction via Convex Optimization
• Quantum Error Correction via Convex Optimization
• The world is not a theorem

Cited by in corpus (3)

• Discovery of Optimal Quantum Error Correcting Codes via Reinforcement Learning
• Quantum Circuit Discovery for Fault-Tolerant Logical State Preparation with Reinforcement Learning
• Multi-target quantum compilation algorithm