1994: A Brief Introduction to Shor’s Algorithm For Quantum Computers
<p>Classical computers rely on algorithms that become increasingly inefficient as the size of the number to be factored grows larger. This is known as the difficulty of factoring large numbers using classical methods. In contrast, Shor’s algorithm exploits the principles of quantum mechanics to achieve exponential speedup in factoring large numbers.</p>
<p>In laymen terms, Shor’s algorithm works by using a quantum computer to find the period of a special function that depends on the number to be factored. The period is the number of times the function repeats itself before starting over. For example, the function <em>f(x) = sin(x)</em> has a period of <em>2π</em>, because <em>f(x + 2π) = f(x)</em> for any <em>x</em>. Finding the period of this function can help us find the prime factors of the number.</p>
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