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Training Quantum Dragons

2026/07/29 by Muhammad Yusf, Bhola Devkota, Mark A. Novotny +1
Physics and Astronomy · #quant-ph

paper · pdf

20 pager, 2 circuits, 17 figures, 2 tables

arxiv created 2026/07/29 · arxiv updated 2026/07/30

Abstract

The Non-Equilibrium Green's Function (NEGF) is the standard formalism for nano-scale electron transport. By recasting the NEGF scattering problem as a linear system of equations whose solution encodes the transmission and reflection amplitudes, we present the first quantum computerized implementation of NEGF. We apply both the Harrow--Hassidim--Lloyd and Variational Quantum Linear Solver algorithms to compute the transmission coefficient T(E) of quantum dragon nanodevices within the single-band tight-binding model. Quantum dragon devices exhibit perfect transmission across the full conducting band regardless of internal disorder. The problem maps onto compact circuits of 3 and 4 total physical qubits for the 2-site and 6-site dragon devices, respectively. A similarity transformation block-diagonalizes the NEGF linear system reducing the Pauli decomposition of the block-encoded matrix. We demonstrate the feasibility of quantum computation by performing ideal and noise-aware simulations and computations on physical IBM quantum processor.

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