0000000000425089
AUTHOR
Danil Serov
Quantum-over-classical Advantage in Solving Multiplayer Games
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 t…
On the Quantum and Classical Complexity of Solving Subtraction Games
We study algorithms for solving Subtraction games, which are sometimes referred as one-heap Nim games.
Quantum-over-Classical Advantage in Solving Multiplayer Games
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.