We explore a self-operating, room-temperature 1024-channel quantum computer that fundamentally shifts computing by replacing qubits and logic gates with polyatomic time crystals (PTCs), six-dimensional topological objects. This architecture is built upon 16 supramolecular organic gels that serve as customizable quantum circuits, driven by homology–cohomology duality engines that autonomously resolve topological inconsistencies in unknown data to build responses as an automaton with <327 680 variables in 1024 channels. The system uses eight symmetry protocols to construct a topological version of the input as PTCs; frequency-combed, tri-phase quantum light reads the output PTC, and magnetic perturbations control conversion of 6D PTCs into 12D PTC outputs encoded as soliton-polariton condensates of long-lived triplets flowing through the gel networks. The goal is to solve quantum Merlin–Arthur-hard and bounded-error quantum polynomial time-class problems by offloading computational complexity to topology and quantum dynamics as a tree tensor network (TTN), enabling the computer to discover hidden rules in fast-changing big data with high fault tolerance. Intractability is attacked not by speeding up a logical algorithm, but by offloading combinatorics to the topology of quantum dynamics: the exponential solution space becomes a landscape of knot states and degeneracy groups, and the “answer” is the TTN itself, forming a globally coherent, mass-carrying cluster. PTCs are the TTN medium where decisions follow compatibility of three topology layers—local singularity bonding, collective shape metamorphosis, and asymptotic feedback knots—rather than any finite logical circuit. This lets PTC hardware extract deeply non-local, history-dependent structures in data as genuine topological phase decisions, giving extraordinary physical and computational significance.
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Singh et al. (2026) studied this question.
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