human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "quantum one way permutation over the finite field of two elements"):
  Abstract: In quantum cryptography, a one-way permutation is a bounded unitary operator $$U:\mathcal {H} \rightarrow \mathcal {H}$$U:H?H on a Hilbert space $$\mathcal {H}$$H that is easy to compute on every input, but hard to invert given the image of a random input. Levin (Probl Inf Transm 39(1):92---103, 2003) has conjectured that the unitary transformation $$g(a,x)=(a,f(x)+ax)$$g(a,x)=(a,f(x)+ax), where f is any length-preserving function and $$a,x \in \hbox {GF}_{{2}^{\Vert x\Vert }}$$a,x?GF2?x?, is an information-theoretically secure operator within a polynomial factor. Here, we show that Levin's one-way permutation is provably secure because its output values are four maximally entangled two-qubit states, and whose probability of factoring them approaches zero faster than the multiplicative inverse of any positive polynomial poly(x) over the Boolean ring of all subsets of x. Our results demonstrate through well-known theorems that existence of classical one-way functions implies existence of a universal quantum one-way permutation that cannot be inverted in subexponential time in the worst case.

Includes members:
  Member "the p versus np problem":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the lagrangian remainder of taylor s series distinguishes mathcal o f x time complexities to polynomials or not")
  Member "aperiodic tilings breaking translational symmetry":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "an aperiodic set of 11 wang tiles")
  Member "the tale of one way functions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "ppp completeness with connections to cryptography")

Question: Please tell me which class the source paper 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.CC(Computational Complexity)