Reading Comprehension

Passage #30

Read the following passage carefully to answer the question below

Passage 2: The Geopolitics of Quantum Computing

The imminent realization of cryptographically relevant quantum computers represents a profound geopolitical paradigm shift. Traditional public-key cryptography, which secures global financial transactions, state secrets, and secure telecommunications, relies on mathematical problems that are intractable for classical computers but easily solved by quantum algorithms running Shor's theorem. Consequently, quantum supremacy introduces an existential threat to global cybersecurity, prompting major nation-states and defense conglomerates into an intense technological arms race.

To forestall catastrophic data interception, cybersecurity agencies are aggressively developing post-quantum cryptographic standards designed to withstand quantum decryption. However, the migration timeline is fraught with peril, particularly the 'harvest now, decrypt later' threat vector, wherein adversaries intercept and store encrypted state secrets today to decode them once quantum hardware matures. Achieving quantum resilience requires a synchronized global overhaul of digital infrastructure before legacy encryption becomes obsolete.

Question

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RC Passage 2 Question 2: What mathematical mechanism underlies traditional public-key cryptography?

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