# Quantum-over-classical Advantage in Solving Multiplayer Games

arXiv: https://arxiv.org/abs/2006.06965 · HTML: https://mlsanity.com/paper/2006.06965/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 12 Jun 2020.

## Built on by (most cited first, 2 of 2)

- [Quantum Algorithm for the Shortest Superstring Problem](https://mlsanity.com/paper/2112.13319/) (2021)
- [Quantum Random Forest for the Regression Problem](https://mlsanity.com/paper/2603.22790/) (2026)

## Abstract (arXiv)

We study the applicability of quantum algorithms in computational game theory and generalize some results related to Subtraction games, which are sometimes referred to as one-heap Nim games. In quantum game theory, a subset of Subtraction games became the first explicitly defined class of zero-sum combinatorial games with provable separation between quantum and classical complexity of solving them. For a narrower subset of Subtraction games, an exact quantum sublinear algorithm is known that surpasses all deterministic algorithms for finding solutions with probability 1. Typically, both Nim and Subtraction games are defined for only two players. We extend some known results to games for three or more players, while maintaining the same classical and quantum complexities: Thetaleft(n2right) and tildeOleft(n1.5right) respectively.