Shuo Li, Rong Zhang. Quantum Walk Wave-Particle Coherent Superposition[J]. Laser & Optoelectronics Progress, 2024, 61(5): 0527002

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- Laser & Optoelectronics Progress
- Vol. 61, Issue 5, 0527002 (2024)

Fig. 1. Quantum walk circuit diagrams. (a) Wave quantum walk; (b) a left and right conditional walking operation; (c) particle quantum walk; (d) wave-particle quantum walk

Fig. 2. Probability distribution calculated by even step position theory after 4-step evolution when . (a) Classical random walk when and quantum walk when ; (b) wave-particle coherent and wave-particle mixed when

Fig. 3. Change of position variance with the theoretical calculation of step t when

Fig. 4. Changes of position variance with the theoretical calculation of auxiliary bit parameters. (a) When , ν changes with ; (b) when , ν changes with

Fig. 5. Wave-particle quantum walk demonstrated in IBM quantum computer

Fig. 6. Probability distribution of even step position simulation after 4-step evolution when . (a) Wave quantum walk when and particle quantum walk when ; (b) wave-particle coherent and wave-particle mixed quantum walk when

Fig. 7. Changes of position variance with the simulation of step t when

Fig. 8. Changes of position variance with the simulation of auxiliary bit parameters. (a) When , ν changes with ; (b) when , ν changes with

Fig. 9. 4-step evolutionary probability distribution after adding noise when and . (a) Wave-particle mixed; (b) wave-particle coherent

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