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Experimentally implementing the step-dependent discrete-time quantum walk on quantum computers.
- Source :
-
Canadian Journal of Physics . 2023, Vol. 101 Issue 4, p176-186. 11p. - Publication Year :
- 2023
-
Abstract
- The discrete-time quantum walk (DTQW) with step-dependent (SD) scattering operator is implemented on quantum computer. The probabilities of different states, with their respective fidelities, are calculated. This is done by generalizing the coin with a rotation gate using the quantum gate model. The CNOT gates in the shift operator are replaced with the alternative to CNOT gates Rx(π). They are applied on a quantum device and a quantum simulator (QS). The fidelities varied around 50% and the probability distribution of SD-DTQW for the angle π/4 spread symmetrically, while the step-independent DTQW (SI-DTQW) tended to peak at one side. The symmetric probability distribution of SD-DTQW can help in better control of the walk on QS. In the case of angle π/2, the SI-DTQW spread equally across the states with four peaks, while the SD-DTQW spread with two peaks to one side. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM computers
*DISTRIBUTION (Probability theory)
*QUANTUM gates
Subjects
Details
- Language :
- English
- ISSN :
- 00084204
- Volume :
- 101
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Canadian Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 162836743
- Full Text :
- https://doi.org/10.1139/cjp-2022-0121