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Evolution process and properties of waveparticle quantum walk (QW) are studied by theoretical calculation and quantum simulator's simulation. Quantum control can contribute to the realization of QWs in quantum waveparticle superposition state with a relative phase between walkers. The postselection operation is used to realize the continuous transitions of QW from the state of waves with multipath coherence to the state of particles without coherence in two different ways: coherence and mixing. Due to quantum interference, there are essential differences between coherence and mixing, and their specific features are characterized by position variance. We also demonstrate the coherent waveparticle QWs in the real quantum simulator. When the walker is in the waveparticle coherent state, two completely different properties can be observed simultaneously through one measurement. By adjusting the relative phase in the waveparticle coherent state, the diffusion rate of the walker can be controlled.
Evolution process and properties of waveparticle quantum walk (QW) are studied by theoretical calculation and quantum simulator's simulation. Quantum control can contribute to the realization of QWs in quantum waveparticle superposition state with a relative phase between walkers. The postselection operation is used to realize the continuous transitions of QW from the state of waves with multipath coherence to the state of particles without coherence in two different ways: coherence and mixing. Due to quantum interference, there are essential differences between coherence and mixing, and their specific features are characterized by position variance. We also demonstrate the coherent waveparticle QWs in the real quantum simulator. When the walker is in the waveparticle coherent state, two completely different properties can be observed simultaneously through one measurement. By adjusting the relative phase in the waveparticle coherent state, the diffusion rate of the walker can be controlled.
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