Quantum Supremacy & Advantage | Complexity Frontiers & Cross-Entropy
Quick Technical Answer:
Quantum Supremacy (or Quantum Computational Advantage) is the experimental milestone demonstrating that a programmable quantum device can solve a well-defined computational problem (such as Random Circuit Sampling) faster than any existing classical supercomputer.
Formula / Unitary:
F_{\text{XEB}} = 2^n \sum_{x} P(x) q(x) - 1, \quad P(x) = |\langle x | \psi \rangle|^2
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Frequently Asked Questions
What is the difference between Quantum Supremacy and Quantum Advantage?
Supremacy refers to proving any speedup on any mathematical task (even without practical utility, like sampling Porter-Thomas distributions). Advantage refers to solving a commercially valuable, real-world task (e.g. drug discovery, materials synthesis).