Paraparticle emulation on a superconducting qubit lattice, Part 1/2

The statistics of indistinguishable particles are typically classified as having either Bose-Einstein or Fermi-Dirac statistics. Unconventional statistics, such as anyonic or non-Abelian statistics, are an active area of research, but are generally limited to two-dimensional space. Paraparticles are a new class of particle types with novel statistics not limited by their spatial dimension, which have been recently theoretically proposed [1]. In this talk, we discuss a method to emulate a type of paraparticle using a two-dimensional superconducting qubit lattice. We leverage common features of superconducting qubits, such as parametric coupling and ZZ-interactions, to realize the paraparticle Hamiltonian. In this first part of a two-part talk, we outline the generalized Jordan-Wigner transformation between the paraparticle and the superconducting qubit Hamiltonians, and discuss experiments revealing paraparticle exchange statistics.

[1] Z. Wang and K. R. A. Hazzard, Particle exchange statistics beyond fermions and bosons, Nature (London) 637, 314 (2025).