Quantum Walks of a Phonon in Trapped Ions
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We report the observation of the quantum walks of a phonon, a vibrational quantum, in a trapped-ion crystal. By employing the capability to prepare and observe the localized wave packet of a phonon, the propagation of a single radial local phonon in a four-ion linear crystal is observed with single-site resolution. The results show an agreement with numerical calculations, indicating the predictability and reproducibility of the phonon system. These characteristics may contribute advantageously in the advanced studies of quantum walks, as well as boson sampling and quantum simulation.
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DQWs can be realized directly on lattice-based quantum systems where position space matches the discrete lattice sites.
“DQWs can be realized directly on lattice-based quantum systems where position space matches the discrete lattice sites. Such implementations have been reported with cold atoms27,28 and photonic systems29–32.”
From Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer (2020) · cites this paper as [32]
The description of phonon propagation in a four-ion crystal (A. QWs of a phonon, p. 1) supports a quantum walk whose positions correspond to individual ion sites. But the paper explicitly identifies its implementation as a continuous-time quantum walk (A. Phonon propagation as QWs, p. 3), so it does not establish a discrete-time implementation if that is what “DQWs” denotes. (LLM, conf=0.84)
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Aharonov, Y., Davidovich, L., & Zagury, N. (1993) · Physical Review A · doi:10.1103/physreva.48.1687 · Cited by 1,622 · see citing works
Universal Computation by Quantum Walk
Childs, A. M. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.180501 · Cited by 1,002 · see citing works
Quantum Walks of Correlated Photons
Peruzzo, A., Lobino, M., Matthews, J. C. F., Matsuda, N., Politi, A., Poulios, K., Zhou, X.-Q., Lahini, Y., Ismail, N., Wörhoff, K., et al. (2010) · Science · doi:10.1126/science.1193515 · Cited by 929 · see citing works
Goals and opportunities in quantum simulation
Cirac, J. I., & Zoller, P. (2012) · Nature Physics · doi:10.1038/nphys2275 · Cited by 891 · see citing works
Quantum walk on the line as an interference phenomenon
Knight, P. L., Roldán, E., & Sipe, J. E. (2003) · Physical Review A · doi:10.1103/physreva.68.020301 · Cited by 176 · see citing works
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Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer
Huerta Alderete, C., Singh, S., Nguyen, N. H., Zhu, D., Balu, R., Monroe, C., Chandrashekar, C. M., & Linke, N. M. (2020) · Nature Communications · doi:10.1038/s41467-020-17519-4 · Cited by 48 · see citing works
- Authors
- Tamura, M., Mukaiyama, T., & Toyoda, K.
- Affiliations
- The University of Osaka (JP)
- Institute for Open and Transdisciplinary Research Initiatives (JP)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2020-05-19
- Volume
- 124
- Issue
- 20
- Pages
- 200501-200501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2971404905
- Cited by
- 49
- References
- 5
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 5 · 2023: 6 · 2022: 12 · 2021: 10 · 2020: 9
- FWCI
- 3.64
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Tokyo Tech Research Repository (Tokyo Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Ministry of Education, Culture, Sports, Science and Technology (JPMXS0118067477)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- quantum walks, phonons, trapped ions, localized wave packets, boson sampling, quantum simulation
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