Fast Algorithm for Stabilizer Rényi Entropy
Analysis
This paper presents a novel algorithm for calculating the second-order stabilizer Rényi entropy, a measure of quantum magic, which is crucial for understanding quantum advantage. The algorithm leverages XOR-FWHT to significantly reduce the computational cost from O(8^N) to O(N4^N), enabling exact calculations for larger quantum systems. This is a significant advancement as it provides a practical tool for studying quantum magic in many-body systems.
Key Takeaways
- •Introduces a fast and exact algorithm for calculating stabilizer Rényi entropy.
- •The algorithm utilizes XOR-FWHT to reduce computational complexity.
- •Enables high-precision calculations for medium-scale quantum systems.
- •Provides a tool for probing quantum magic in many-body systems.
Reference
“The algorithm's runtime scaling is O(N4^N), a significant improvement over the brute-force approach.”