0000000000425089

AUTHOR

Danil Serov

showing 3 related works from this author

Quantum-over-classical Advantage in Solving Multiplayer Games

2020

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…

FOS: Computer and information sciencesQuantum PhysicsComputer Science - Computational ComplexityComputer Science::Computer Science and Game TheoryComputer Science - Computer Science and Game TheoryComputingMilieux_PERSONALCOMPUTINGFOS: Physical sciencesComputational Complexity (cs.CC)Quantum Physics (quant-ph)Computer Science and Game Theory (cs.GT)
researchProduct

On the Quantum and Classical Complexity of Solving Subtraction Games

2019

We study algorithms for solving Subtraction games, which are sometimes referred as one-heap Nim games.

Computer Science::Computer Science and Game TheoryComputer science010102 general mathematicsComputingMilieux_PERSONALCOMPUTINGSubtraction01 natural sciences010305 fluids & plasmasAlgebra0103 physical sciencesComputer Science::Programming LanguagesQuantum algorithmHardware_ARITHMETICANDLOGICSTRUCTURES0101 mathematicsQuantumGame theoryQuantum computer
researchProduct

Quantum-over-Classical Advantage in Solving Multiplayer Games

2020

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.

Computer Science::Computer Science and Game TheoryTheoretical computer scienceComputer scienceQuantum game theoryComputingMilieux_PERSONALCOMPUTINGSubtractionQuantum algorithmComputational game theoryQuantum
researchProduct