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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.20078 |
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| _version_ | 1866917511557021696 |
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| author | Kuanysheva, Tamila Andrade-Plascencia, Jonathan Sahoo, Jayakrushna Kendrick, Brian Babikov, Dmitri |
| author_facet | Kuanysheva, Tamila Andrade-Plascencia, Jonathan Sahoo, Jayakrushna Kendrick, Brian Babikov, Dmitri |
| contents | Digital quantum simulation offers a promising route for studying quantum dynamics, but efficient operator representations and circuit depth remain key challenges for near-term hardware. We investigate one-dimensional wave packet dynamics using a grid-based encoding of the wave function onto qubit registers. Time evolution is implemented via split-operator approach, with kinetic energy operator applied using Quantum Fourier Transform (QFT) with polynomial scaling and potential energy operator expressed through commuting Pauli-Z gates, improving accuracy and enabling incorporation of arbitrary discretized potentials. While the full Pauli decomposition of Hamiltonian scales exponentially as O(4^n ), the present approach reduces the operator scaling to O(2^n) for n qubits. We benchmark this approach on classical simulators and quantum hardware (IBM Quantum and IonQ) for two- to five-qubit implementations. For two- and three-qubit cases, all platforms qualitatively reproduce the benchmarked dynamics; at larger qubit counts, the IBM results deviate more strongly, whereas IonQ remains closer to the benchmark. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20078 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Performance and Limitations of NISQ Hardware for Simulations of Quantum Wave Packet Dynamics Kuanysheva, Tamila Andrade-Plascencia, Jonathan Sahoo, Jayakrushna Kendrick, Brian Babikov, Dmitri Quantum Physics Digital quantum simulation offers a promising route for studying quantum dynamics, but efficient operator representations and circuit depth remain key challenges for near-term hardware. We investigate one-dimensional wave packet dynamics using a grid-based encoding of the wave function onto qubit registers. Time evolution is implemented via split-operator approach, with kinetic energy operator applied using Quantum Fourier Transform (QFT) with polynomial scaling and potential energy operator expressed through commuting Pauli-Z gates, improving accuracy and enabling incorporation of arbitrary discretized potentials. While the full Pauli decomposition of Hamiltonian scales exponentially as O(4^n ), the present approach reduces the operator scaling to O(2^n) for n qubits. We benchmark this approach on classical simulators and quantum hardware (IBM Quantum and IonQ) for two- to five-qubit implementations. For two- and three-qubit cases, all platforms qualitatively reproduce the benchmarked dynamics; at larger qubit counts, the IBM results deviate more strongly, whereas IonQ remains closer to the benchmark. |
| title | On Performance and Limitations of NISQ Hardware for Simulations of Quantum Wave Packet Dynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.20078 |