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Codes to support the findings in "Four-state discrimination for a pair of spin qubits via gate reflectometry"

Aritra Sen

Published Jun 2, 2026• 1 citation
Publisher

Abstract

This Zenodo repository is to provide the Wolfram Mathematica notebook, code (and data for Fig. 4) to reproduce all the plots in Fig. 4 and Fig. 5 in the article - "Four-state discrimination for a pair of spin qubits via gate reflectometry", arxiv.2603.07806.
DOI
10.5281/zenodo.20513170

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Four-state discrimination for a pair of spin qubits via gate reflectometry

Aritra Sen, András Pályi

Single-electron spin qubits defined in quantum dots are used as building blocks of a semiconductor-based quantum computer. Readout in a scaled-up version of such a quantum computer is expected to rely on the Pauli Spin Blockade (PSB) mechanism. A desired functionality of PSB readout is that it reveals two bits of information on the two spin qubits that are involved in the process, such that the four computational basis states can be discriminated. In this work, we propose and quantitatively analyze an experimental procedure, based on gate reflectometry, which enables this four-state discrimination in a single measurement. We provide an intuitive recipe to maximize the contrast between the quantum capacitances of the four basis states. Focusing on silicon double quantum dots equipped with a micromagnet, we quantify how amplifier noise and phonon-mediated relaxation influence readout fidelity. Our results highlight a realistic opportunity to mitigate the overhead of readout ancilla qubits in a spin-based quantum computer.

cond-mat.mes-hallCross-listedarXiv:2603.07806•Mar 10, 2026
This repository contains the computational data and source code required to reproduce the numerical validations and figures presented in the manuscript "Exact Microcanonical Density of States and Fibonacci Convolutions in the 1D Ising Model" and its accompanying Supplemental Material. The dataset includes the following files: Numerical Validation.nb: This Wolfram Mathematica notebook contains the complete numerical verification of the exact combinatorial degeneracy formulas derived in the study. It implements three independent computational approaches—brute-force enumeration via the full Ising Hamiltonian, analytical combinatorial formulas based on Fibonacci/Lucas convolutions, and the algebraic transfer-matrix formalism. The code validates the exact macroscopic degeneracies across the full excitation spectrum for both open-chain and closed-ring topologies. Thermodynamic Quantities.nb: This Wolfram Mathematica notebook contains the numerical routines used to compute and generate the plots of the thermodynamic quantities presented in the appendix of the main manuscript. Software Requirements: To execute and modify the provided .nb files, Wolfram Mathematica is required.
Single-electron spin qubits defined in quantum dots are used as building blocks of a semiconductor-based quantum computer. Readout in a scaled-up version of such a quantum computer is expected to rely on the Pauli Spin Blockade (PSB) mechanism. A desired functionality of PSB readout is that it reveals two bits of information on the two spin qubits that are involved in the process, such that the four computational basis states can be discriminated. In this work, we propose and quantitatively analyze an experimental procedure, based on gate reflectometry, which enables this four-state discrimination in a single measurement. We provide an intuitive recipe to maximize the contrast between the quantum capacitances of the four basis states. Focusing on silicon double quantum dots equipped with a micromagnet, we quantify how amplifier noise and phonon-mediated relaxation influence readout fidelity. Our results highlight a realistic opportunity to mitigate the overhead of readout ancilla qubits in a spin-based quantum computer.