The Interpretation of Quantum Mechanics: Many Worlds or Many Words?
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A diverse set of experimental groups worldwide have already implemented various variational quantum algorithms on their physical systems.
“A diverse set of experimental groups worldwide have already implemented various variational quantum algorithms on their physical systems 52-59 .”
From Quantum Chemistry in the Age of Quantum Computing (2019) · cites this paper as [53]
The application of the UCC ansatz truncated up to single and double excitations has been investigated both theoretically and experimentally.
“Given the inherent advantage in implementing the ansatz as well as the high accuracies of CC methods, the application of the UCC ansatz truncated up to single and double excitations (UCCSD) has been investigated both theoretically and experimentally 52,53,59,325-330 .”
From Quantum Chemistry in the Age of Quantum Computing (2019) · cites this paper as [53]
UCCSD has been demonstrated experimentally for HeH+ using a single trapped ion.
“Finally, UCCSD has been demonstrated experimentally for HeH + using a single trapped ion 53 , for H 2 on a superconducting quantum computer 55 ,”
From Quantum Chemistry in the Age of Quantum Computing (2019) · cites this paper as [53]
Cites
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539795293172 · Cited by 8,472 · see citing works
Practical quantum cryptography based on two-photon interferometry
Ekert, A. K., Rarity, J. G., Tapster, P. R., & Massimo Palma, G. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1293 · Cited by 340 · see citing works
Postselection-free energy-time entanglement
Strekalov, D. V., Pittman, T. B., Sergienko, A. V., Shih, Y. H., & Kwiat, P. G. (1996) · Physical Review A · doi:10.1103/physreva.54.r1 · Cited by 119 · see citing works
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W. (1999) · SIAM Review · doi:10.1137/s0036144598347011 · Cited by 3,904 · see citing works
Georgescu, I. M., Ashhab, S., & Nori, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.153 · Cited by 2,932 · see citing works
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
Quantum Chemistry in the Age of Quantum Computing
Cao, Y., Romero, J., Olson, J. P., Degroote, M., Johnson, P. D., Kieferová, M., Kivlichan, I. D., Menke, T., Peropadre, B., Sawaya, N. P. D., et al. (2019) · Chemical Reviews · doi:10.1021/acs.chemrev.8b00803 · Cited by 1,560 · see citing works
Decoherence, the measurement problem, and interpretations of quantum mechanics
Schlosshauer, M. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.76.1267 · Cited by 1,443 · see citing works
Observation of Three-Photon Greenberger-Horne-Zeilinger Entanglement
Bouwmeester, D., Pan, J.-W., Daniell, M., Weinfurter, H., & Zeilinger, A. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1345 · Cited by 1,061 · see citing works
Importance of quantum decoherence in brain processes
Tegmark, M. (2000) · Physical Review E · doi:10.1103/physreve.61.4194 · Cited by 776 · see citing works
Self-citationAdiabatic Quantum Simulation of Quantum Chemistry
Babbush, R., Love, P. J., & Aspuru-Guzik, A. (2014) · Scientific Reports · doi:10.1038/srep06603 · Cited by 191 · see citing works
Kivlichan, I. D., Gidney, C., Berry, D. W., Wiebe, N., McClean, J., Sun, W., Jiang, Z., Rubin, N., Fowler, A., Aspuru-Guzik, A., et al. (2020) · Quantum · doi:10.22331/q-2020-07-16-296 · Cited by 173 · see citing works
Quantum circuits for strongly correlated quantum systems
Verstraete, F., Cirac, J. I., & Latorre, J. I. (2009) · Physical Review A · doi:10.1103/physreva.79.032316 · Cited by 158 · see citing works
Using Quantum Computers for Quantum Simulation
Brown, K. L., Munro, W. J., & Kendon, V. M. (2010) · Entropy · doi:10.3390/e12112268 · Cited by 129 · see citing works
Simulating quantum dynamics on a quantum computer
Wiebe, N., Berry, D. W., Høyer, P., & Sanders, B. C. (2011) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/44/44/445308 · Cited by 110 · see citing works
Five Lectures on Dissipative Master Equations
Englert, B.-G., & Morigi, G. (2002) · Lecture Notes in Physics · doi:10.1007/3-540-45855-7_2 · Cited by 46 · see citing works
Self-citationThe Physical Meaning of the Holographic Principle
Fields, C., Glazebrook, J. F., & Marcianò, A. (2022) · Quanta · doi:10.12743/quanta.v11i1.206 · Cited by 37 · see citing works
Babbush, R., Huggins, W. J., Berry, D. W., Ung, S. F., Zhao, A., Reichman, D. R., Neven, H., Baczewski, A. D., & Lee, J. (2023) · Nature Communications · doi:10.1038/s41467-023-39024-0 · Cited by 32 · see citing works
Coupling quantum-like cognition with the neuronal networks within generalized probability theory
Khrennikov, A., Ozawa, M., Benninger, F., & Shor, O. (2025) · Journal of Mathematical Psychology · doi:10.1016/j.jmp.2025.102923 · Cited by 17 · see citing works
Simulating symmetric time evolution with local operations
Toloui, B., & Gour, G. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/12/123026 · Cited by 13 · see citing works
Quantum mechanics as a deterministic theory of a continuum of worlds
Boström, K. J. (2015) · Quantum Studies: Mathematics and Foundations · doi:10.1007/s40509-015-0046-6 · Cited by 10 · see citing works
The costs of rejecting quantum immortality
O’Brien, M. W. (2025) · Synthese · doi:10.1007/s11229-025-05304-z
- Authors
- Tegmark, M.
- Venue
- Fortschritte der Physik
- Published
- 1998
- References
- 3
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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