That’s significantly more than the 70 qubits in today’s state-of-the-art quantum computers.
In 2015, researchers estimated that a quantum computer would need a billion qubits to do the job reliably. Taking this into account dramatically increases the resources required to factor 2048-bit numbers. Indeed, computer scientists consider it practically impossible for a classical computer to factor numbers that are longer than 2048 bits, which is the basis of the most commonly used form of RSA encryption. But it is hard to start with the number 491,597 and work out which two prime numbers must be multiplied to produce it.Īnd it becomes increasingly difficult as the numbers get larger. For example, it is trivial to multiply two numbers together: 593 times 829 is 491,597. Trapdoor functions are based on the process of multiplication, which is easy to perform in one direction but much harder to do in reverse. Shor’s algorithm factors large numbers and is the crucial element in the process for cracking trapdoor-based codes. Back in 1994, the American mathematician Peter Shor discovered a quantum algorithm that outperformed its classical equivalent. The result will make uncomfortable reading for governments, military and security organizations, banks, and anyone else who needs to secure data for 25 years or longer.įirst some background. If you are having any issues, shoot us an email, Contact MPGH Support.Consequently, these machines are significantly closer to reality than anyone suspected.
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