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The article analyzes the legal hurdles of patenting Shor's algorithm, arguing that its core mathematical operations lack patent eligibility without specific hardware improvements to the quantum machine itself. This discussion highlights the current uncertainty in US patent law regarding abstract mathematical methods applied to quantum computing.
Patenting Quantum Computing Innovations – Part 5: Shor’s Algorithm and Conclusions

In part five of our five part series on quantum patents, Sinan Utku discusses why an attempt to patent Shor's algorithm would likely be challenged. The article concludes with an observation about the uncertain state of patent eligibility law in the US. The post Patenting Quantum Computing Innovations – Part 5: Shor’s Algorithm and Conclusions appeared first on Quantum Computing Report.
Shor’s algorithm efficiently factors large integers into their prime factors by reducing the problem to a period-finding task, which can be solved much more efficiently on a quantum computer than on a classical one. The algorithm involves preparing a quantum superposition of inputs and preparing a quantum gate to evaluate a modular exponentiation function. It then applies quantum phase estimation to extract the period of this function. This involves applying controlled powers of the quantum gate for modular exponentiation and then performing an inverse quantum Fourier transform to obtain information about the period. Once the period is determined, a classical algorithm…
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