RealFeedApp Ω(n^(k/(k+1))) lower bound proven for fixed k in k-sum
Researchers provided elementary proofs of the Omega(n^(2/3)) quantum query lower bound for element distinctness and the Omega(n^(k/(k+1))) bound for the k-sum problem. The proofs rely only on basic properties of quantum states and linear algebra.
- Field
- how neural networks work
- What they did
- Researchers provided simple proofs showing that solving the element distinctness and k-sum problems requires a minimum number of quantum queries.
- Why it matters
- This allows for accurately estimating the minimum computational complexity of quantum algorithms for these problems using only basic properties of quantum states.
#quantum computing#lower bounds#element distinctness#k-sum#quantum algorithms
