Experimental Determination of the Motional Quantum State of a Trapped Atom
Abstract
We reconstruct the density matrices and Wigner functions for various quantum states of motion of a harmonically bound ${}^{9}{\mathrm{Be}}^{+}$ ion. We apply coherent displacements of different amplitudes and phases to the input state and measure the number state populations. Using novel reconstruction schemes we independently determine both the density matrix in the number state basis and the Wigner function. These reconstructions are sensitive indicators of decoherence in the system.
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For continuous variables, tomography has been implemented in both quantum and atom optics.
“For continuous variables, tomography has been implemented in both quantum [23] and atom [24] optics.”
From Nonmaximally Entangled States: Production, Characterization, and Utilization (1999) · cites this paper as [24]
Cites
Smithey, D. T., Beck, M., Raymer, M. G., & Faridani, A. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1244 · Cited by 1,538 · see citing works
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Quantum dynamics of single trapped ions
Leibfried, D., Blatt, R., Monroe, C., & Wineland, D. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.281 · Cited by 2,739 · see citing works
Self-citationJames, D. F. V., Kwiat, P. G., Munro, W. J., & White, A. G. (2001) · Physical Review A · doi:10.1103/physreva.64.052312 · Cited by 2,176 · see citing works
Quantum simulations with trapped ions
Blatt, R., & Roos, C. F. (2012) · Nature Physics · doi:10.1038/nphys2252 · Cited by 1,629 · see citing works
Quantum computing with trapped ions
HAFFNER, H., ROOS, C., & BLATT, R. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.09.003 · Cited by 1,154 · see citing works
Prescription for experimental determination of the dynamics of a quantum black box
Chuang, I. L., & Nielsen, M. A. (1997) · Journal of Modern Optics · doi:10.1080/09500349708231894 · Cited by 949 · see citing works
Nonmaximally Entangled States: Production, Characterization, and Utilization
White, A. G., James, D. F. V., Eberhard, P. H., & Kwiat, P. G. (1999) · Physical Review Letters · doi:10.1103/physrevlett.83.3103 · Cited by 511 · see citing works
Encoding a qubit in a trapped-ion mechanical oscillator
Flühmann, C., Nguyen, T. L., Marinelli, M., Negnevitsky, V., Mehta, K., & Home, J. P. (2019) · Nature · doi:10.1038/s41586-019-0960-6 · Cited by 394 · see citing works
Maximum-likelihood estimation of the density matrix
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Mariantoni, M., Wang, H., Bialczak, R. C., Lenander, M., Lucero, E., Neeley, M., O’Connell, A. D., Sank, D., Weides, M., Wenner, J., et al. (2011) · Nature Physics · doi:10.1038/nphys1885 · Cited by 133 · see citing works
Instantaneous measurement of field quadrature moments and entanglement
Lougovski, P., Walther, H., & Solano, E. (2006) · The European Physical Journal D · doi:10.1140/epjd/e2006-00085-3 · Cited by 19 · see citing works
- Authors
- Leibfried, D., Meekhof, D. M., King, B. E., Monroe, C., Itano, W. M., & Wineland, D. J.
- Affiliations
- National Institute of Standards and Technology (US)
- ORCID
- Monroe, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1996-11-18
- Volume
- 77
- Issue
- 21
- Pages
- 4281-4285
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2067184005
- Cited by
- 688
- References
- 1
- Citations by year
- 2026: 8 · 2025: 16 · 2024: 15 · 2023: 17 · 2022: 25 · 2021: 22 · 2020: 16 · 2019: 24 · 2018: 17 · 2017: 12 · 2016: 15 · 2015: 19 · 2014: 28 · 2013: 19 · 2012: 16
- FWCI
- 31.60
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- 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
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Keywords
- trapped ions, quantum state tomography, density matrix reconstruction, Wigner function, decoherence, beryllium ions, harmonic trap
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