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arXiv:2605.08350 · detector doi_compliance · incontrovertible · 2026-05-19 11:13:22.954717+00:00

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A. Dalmasso, A. Jafarizadeh, J. Boesl, J. Jeyaretnam, S. Lin, A. G. Green, F. Pollmann, K. Michael, J. P. Gar- rahan, H. Dreyer, and A. Gammon-Smith, 10.5281/zen- odo.20075236 (2026). i Supplemental Material for “Quantum trajectory simulation of two-dimensional non-equilibrium steady states with a trapped ion quantum processor” FIG. S1. Schematic representation of the hybrid fermionic mapping used in this work. The black vertices correspond to the physical qubits numbered from “0” (source) to “15” (drain), the two red circles are ancillary qubits labelled “a” and “b”. The arrows on the bonds indicate directionality of the local edge operators ˜Ei,j. The dotted blue arrows corre- spond to positive Jordan-Wigner strings created from prod- ucts of neighbouring ˜Ei,js. A: Fermionic Mapping Following the mapping presented in references [1, 2], we introduce the following edge and vertex operators ex- pressed in terms of Majorana operatorsγ j =c † j +c j and ¯γj =i(c † j −c j): Ei,j =−iγ iγj (A1) Vi =−iγ i ¯γi (A2) and the corresponding local mapped operators: ˜Ei,j = ( XiYjXa (i, j) vertical XiYjYa (i, j) horizontal (A3) ˜Vi =Z i (A4) where ˜Ei,j =− ˜Ej,i. For every oriented edge (i, j), the arrow always points from siteito sitejand the sub- scriptadenotes the ancilla qubit directly adjacent to the bond (i, j); in the absence of a neighbouring ancilla, the last Pauli operatorP a is omitted. These operators are represented by gray arrows in Fig. S1. Hopping between sites that are no

Evidence payload

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  "reconstructed_doi": "10.5281/zen-odo.20075236",
  "ref_index": 39,
  "resolved_title": null,
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