Realization of a Quantum Walk with One and Two Trapped Ions
Open accessAbstract
We experimentally demonstrate a quantum walk on a line in phase space using one and two trapped ions. A walk with up to 23 steps is realized by subjecting an ion to state-dependent displacement operations interleaved with quantum coin tossing operations. To analyze the ion's motional state after each step we apply a technique that directly maps the probability density distribution onto the ion's internal state. The measured probability distributions and the position's second moment clearly show the nonclassical character of the quantum walk. To further highlight the difference between the classical (random) and the quantum walk, we demonstrate the reversibility of the latter. Finally, we extend the quantum walk by using two ions, giving the walker the additional possibility to stay instead of taking a step.
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In trapped ions, a DQW has been implemented by mapping position space to locations in phase space given by the degrees of freedom associated with the harmonic motion of the ion in the trap.
“In trapped ions, a DQW has been implemented by mapping position space to locations in phase space given by the degrees of freedom associated with the harmonic motion of the ion in the trap33–35.”
From Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer (2020) · cites this paper as [34]
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- Authors
- Zähringer, F., Kirchmair, G., Gerritsma, R., Solano, E., Blatt, R., & Roos, C. F.
- Affiliations
- Austrian Academy of Sciences (AT)
- Ikerbasque (ES)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-03-09
- Volume
- 104
- Issue
- 10
- Pages
- 100503-100503
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1998160863
- Cited by
- 531
- References
- 5
- Citations by year
- 2026: 11 · 2025: 20 · 2024: 27 · 2023: 12 · 2022: 29 · 2021: 44 · 2020: 42 · 2019: 37 · 2018: 29 · 2017: 25 · 2016: 46 · 2015: 39 · 2014: 39 · 2013: 33 · 2012: 39
- FWCI
- 44.01
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- 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, trapped ions, phase space, nonclassicality, reversibility
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