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  1. We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions. Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. This enables a mapping from a class of target Hamiltonians, defined by the graph structure of their interactions, to pulse sequences. We then obtain a recipe to ...
  2. quantum-journal.org

    Universal quantum processors in spin systems via robust local pulse sequences. Matteo Votto 1, Johannes Zeiher 2,3,4, and Benoît Vermersch 1. 1 Univ. Grenoble Alpes, CNRS, LPMMC, 38000 Grenoble, France 2 Fakultät für Physik, Ludwig-Maximilians-Universität München, 80799 München, Germany 3 Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany 4 Munich Center for Quantum Science ...
  3. 2 Introducing Walsh sequences. 2.1 Pulse sequences for Hamiltonian engineering; 2.2 Hamiltonian engineering from Walsh functions; 2.3 Universal quantum computing from Walsh sequences; 2.4 Trotter errors; 2.5 Reducing the number of pulses with a cut-off distance; 3 Walsh sequences are robust against experimental imperfections
  4. FIG. 1. Robust universal quantum processors in spin systems via Walsh pulse sequences −We illustrate the general features of the proposed protocol. For each spin, two integer indices (i.e. the Walsh indices) x iand y iare chosen. Each couple of indices (x i,y i) is mapped to a local pulse sequence using the Walsh functions language. The ...
  5. quantum-journal.org

    sequence design to engineer universal quantum computation in spin systems. Note that, in-stead of addressing the spins individually, one can also use multiple spins to implement each qubit and drive them with a global field [14]. Accepted in Quantum2024-09-02, click title to verify. Published under CC-BY 4.0. 1 arXiv:2311.10600v3 [quant-ph] 23 ...
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  7. bohrium.dp.tech

    Abstract:We present a unitary control pulse design method for a scalable quantum computer architecture based on electron spins in lateral quantum dots. We employ simultaneous control of spin interactions and derive the functional forms of spin Hamiltonian parameter pulses for a universal set of 1- and 2-qubit logic gates.
  8. semanticscholar.org

    A protocol to realize quantum simulation and computation in spin systems with long-range interactions relies on the local addressing of single spins with external fields parametrized by Walsh functions, and obtains a recipe to implement arbitrary two-body Hamiltonians and universal quantum circuits. We propose a protocol to realize quantum simulation and computation in spin systems with long ...
  9. inspirehep.net

    Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. This enables a mapping from a class of target Hamiltonians, defined by the graph structure of their interactions, to pulse sequences. We then obtain a recipe to implement arbitrary two-body Hamiltonians and universal quantum circuits.
  10. semanticscholar.org

    FIG. 1. Robust universal quantum processors in spin systems via Walsh pulse sequences − We illustrate the general features of the proposed protocol. For each spin, two integer indices (i.e. the Walsh indices) xi and yi are chosen. Each couple of indices (xi, yi) is mapped to a local pulse sequence using the Walsh functions language. The structure of the average Hamiltonian H̃ resulting from ...
  11. walshpulseseq.readthedocs.io

    Robust universal quantum processors in spin systems via Walsh pulse sequences. arXiv preprint arXiv:2311.10600. Theory The theory behind this protocol can be found at WalshPulseSeqProtocol:A python package for Dynamical Decoupling of Spin Systems using Walsh Functions. Installation Create a virtual environment

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