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<p>Identifying quantum states stands at the core of quantum information processing. However, an accurate observable measurement can pose a tough challenge whenever multiple outcomes are possible, e.g. measuring momentum vs. electron spin, which takes only two components. Quantum systems with a larger number of degrees of freedom increase the options for quantum computations and may enhance the quantum parallelism. Our goal in this work is to define a system that functions as a quantum sorter in a concrete manner, by choosing an interaction Hamiltonian that enables the device to separate the eigenstates into multiple output ports, achieving a so-called mode-lead disentanglement. To this end, we implemented numerically the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_5860_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textsf{R}\)</EquationSource> </InlineEquation>-matrix formalism, which was developed to solve scattering transport problems in solid state systems. The states that are aimed to be separated are described by the transverse momentum of the incident modes and by their spin component, as a possible implementation of qudits. In order to achieve the desired resolution in terms of mode and spin, we study a range of possible Hamiltonians, corresponding to different configurations of the scattering potential.</p>

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Implementation of a multi-terminal quantum sorter in solid state systems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月3日

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  • Amanda Teodora Preda,
  • Iulia Ghiu,
  • Lucian Ion,
  • Ulrich Wulf,
  • Andrei Manolescu,
  • George Alexandru Nemnes

摘要

Identifying quantum states stands at the core of quantum information processing. However, an accurate observable measurement can pose a tough challenge whenever multiple outcomes are possible, e.g. measuring momentum vs. electron spin, which takes only two components. Quantum systems with a larger number of degrees of freedom increase the options for quantum computations and may enhance the quantum parallelism. Our goal in this work is to define a system that functions as a quantum sorter in a concrete manner, by choosing an interaction Hamiltonian that enables the device to separate the eigenstates into multiple output ports, achieving a so-called mode-lead disentanglement. To this end, we implemented numerically the \(\textsf{R}\) -matrix formalism, which was developed to solve scattering transport problems in solid state systems. The states that are aimed to be separated are described by the transverse momentum of the incident modes and by their spin component, as a possible implementation of qudits. In order to achieve the desired resolution in terms of mode and spin, we study a range of possible Hamiltonians, corresponding to different configurations of the scattering potential.