Abstract
Through the two specific problems, the 2D hidden linear function problem and the 1D magic square problem, Bravyi et al. have recently shown that there exists a separation between QNC and NC, where QNC and NC are the classes of polynomial-size and constant-depth quantum and classical circuits with bounded fan-in gates, respectively. In this paper, we present another problem with the same property, the magic pentagram problem based on the magic pentagram game, which is a nonlocal game. In other words, we show that the problem can be solved with certainty by a QNC circuit but not by any NC circuits.
| Original language | English |
|---|---|
| Article number | 334 |
| Journal | Quantum Information Processing |
| Volume | 21 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sept 2022 |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Magic pentagram game
- Magic pentagram problem
- NC
- QNC
- Quantum advantage
- Quantum algorithms
- Shallow circuits
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