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Consider this statement: "Quantum computers can break RSA encryption by efficiently factoring large numbers." What is the main reason this is true?

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Cybersecurity - Emerging Security Topics
Consider this statement: "Quantum computers can break RSA encryption by efficiently factoring large numbers." What is the main reason this is true?
AQuantum computers use Grover's algorithm to factor numbers
BQuantum computers use Shor's algorithm which factors numbers quickly
CQuantum computers guess keys randomly faster than classical computers
DQuantum computers rely on brute force attacks only
Step-by-Step Solution
Solution:
  1. Step 1: Identify quantum algorithms relevant to factoring

    Shor's algorithm is a quantum algorithm designed to factor large numbers efficiently, which classical computers cannot do quickly.
  2. Step 2: Match algorithm to RSA vulnerability

    RSA security depends on factoring large numbers being hard; Shor's algorithm breaks this assumption, making RSA vulnerable.
  3. Final Answer:

    Quantum computers use Shor's algorithm which factors numbers quickly -> Option B
  4. Quick Check:

    Shor's algorithm breaks RSA factoring [OK]
Quick Trick: Shor's algorithm = fast factoring, breaks RSA [OK]
Common Mistakes:
MISTAKES
  • Confusing Grover's algorithm with factoring
  • Thinking quantum computers guess keys randomly
  • Assuming brute force is the main quantum method

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