Basic quantum subroutines: finding multiple marked elements and summing numbers
We show how to find all $k$ marked elements in a list of size $N$ using the optimal number $O(\sqrt{N k})$ of quantum queries and only a polylogarithmic overhead in the gate complexity, in the setting where one has a small quantum memory. Previous algorithms either incurred a factor $k$ overhead in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2024-03-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2024-03-14-1284/pdf/ |