human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "can one quantum bit separate any pair of words with zero error"
  Abstract: Determining the minimum number of states required by a finite automaton to separate a given pair of different words is an important problem. In this paper, we consider this problem for quantum automata (QFAs). We show that 2-state QFAs can separate any pair of words in nondeterministic acceptance mode and conjecture that they can separate any pair also with zero-error. Then, we focus on (a more general problem) separating a pair of two disjoint finite set of words. We show that QFAs can separate them efficiently in nondeterministic acceptance mode, i.e. the number of states is two to the power of the size of the small set. Additionally, we examine affine finite automata (AfAs) and show that two states are enough to separate any pair with zero-error. Moreover, AfAs can separate any pair of disjoint finite sets of words with one-sided bounded error efficiently like QFAs in nondeterministic mode.

Connected through hyperedge HE-1 (induced by source paper "computational limitations of affine automata"):
  with members:
    - "language recognition power and succinctness of affine automata"
    - "on the computational power of affine automata"
    - "affine computation and affine automaton"
    - "automata and quantum computing"
    - "languages recognized by nondeterministic quantum finite automata"
    - "two way finite automata with quantum and classical states"

Connected through hyperedge HE-2 (induced by source paper "language recognition power and succinctness of affine automata"):
  with members:
    - "affine counter automata"
    - "zero error affine unitary and probabilistic obdds"
    - "on the computational power of affine automata"
    - "affine computation and affine automaton"
    - "automata and quantum computing"
    - "unary probabilistic and quantum automata on promise problems"
    - "potential of quantum finite automata with exact acceptance"
    - "very narrow quantum obdds and width hierarchies for classical obdds"

Connected through hyperedge HE-3 (induced by source paper "exact affine counter automata"):
  with members:
    - "language recognition power and succinctness of affine automata"
    - "on the computational power of affine automata"
    - "affine computation and affine automaton"
    - "automata and quantum computing"
    - "classical automata on promise problems"
    - "quantum finite automata a modern introduction"
    - "proving the power of postselection"
    - "quantum counter automata"

Connected through hyperedge HE-4 (induced by source paper "affine computation and affine automaton"):
  with members:
    - "language recognition power and succinctness of affine automata"
    - "automata and quantum computing"
    - "quantum finite automata a modern introduction"
    - "unbounded error quantum computation with small space bounds"
    - "languages recognized by nondeterministic quantum finite automata"

Connected through hyperedge HE-5 (induced by source paper "on the computational power of affine automata"):
  with members:
    - "language recognition power and succinctness of affine automata"
    - "affine computation and affine automaton"
    - "automata and quantum computing"

Question: Please tell me which class the center node belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.FL(Formal Languages and Automata Theory)