Quantum algorithms for integer factorisation employ quantum mechanical principles to decompose composite numbers into prime factors with greater efficiency than classical approaches. Central to this ...

Building on a landmark algorithm, researchers propose a way to make a smaller and more noise-tolerant quantum factoring circuit for cryptography. The most recent email you sent was likely encrypted ...

Building a utility-scale quantum computer that can crack one of the most vital cryptosystems—elliptic curves—doesn’t require nearly the resources anticipated just a year or two ago, two independently ...

Peter Shor didn’t set out to break the internet. But an algorithm he developed in the mid-1990s threatened to do just that. In a landmark paper, Shor showed how a hypothetical computer that exploited ...

Bitcoin’s security relies on elliptic curve cryptography, a one-way mathematical function that makes deriving a private key from a public key effectively impossible for traditional computers. Shor’s ...