Quantum walks of interacting fermions on a cycle graph

Abstract

Quantum walks have been employed widely to develop new tools for quantum information processing recently. A natural quantum walk dynamics of interacting particles can be used to implement efficiently the universal quantum computation. In this work quantum walks of electrons on a graph are studied. The graph is composed of semiconductor quantum dots arranged in a circle. Electrons can tunnel between adjacent dots and interact via Coulomb repulsion, which leads to entanglement. Fermionic entanglement dynamics is obtained and evaluated.

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• Hamiltonian Simulation Algorithms for Near-Term Quantum Hardware
• Review on Quantum Walk Computing: Theory, Implementation, and Application
• Predicting quantum advantage by quantum walk with convolutional neural networks
• QFlow lite dataset: A machine-learning approach to the charge states in quantum dot experiments
• Machine learning transfer efficiencies for noisy quantum walks
• Tunable mode entanglement: topological Su-Schrieffer-Heeger (SSH) chain with an embedded Aharonov-Bohm quantum ring
• The walker speaks its graph: global and nearly-local probing of the tunnelling amplitude in continuous-time quantum walks
• Soliton versus single photon quantum dynamics in arrays of superconducting qubits
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• Disorder-free localisation in continuous-time quantum walks : Role of symmetries
• Interference-induced localization in quantum random walk on clean cyclic graph
• The simplest 2D quantum walk detects chaoticity