A Rydberg quantum simulator
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Lloyd showed that any local many-body unitary evolution governed by a local Hamiltonian could be implemented by the control afforded by a universal digital quantum computer.
“Lloyd who showed that any 'local' many-body unitary evolution governed by a 'local' Hamiltonian could be implemented by the control afforded by a universal digital quantum computer [98].”
From Can one trust quantum simulators? (2012) · cites this paper as [98]
A universal digital quantum simulator is perfectly controllable, because a universal set of gates allows sufficient control of the parameters.
“In accordance with [98], a UDQS is perfectly controllable, i.e., with the help of a universal set of gates sufficient control of the parameters can be achieved.”
From Can one trust quantum simulators? (2012) · cites this paper as [98]
A fault-tolerant implementation of the standard Trotter-expansion approach to digital quantum simulation has an overhead in the number of gates and time required that grows exponentially with the degree of precision required.
“Indeed, as discussed above, a fault-tolerant implementation of the standard approach based on the Trotter expansion [98] comes at the cost of an overhead in the number of gates and time required that grows exponentially with the degree of precision required [64, 120].”
From Can one trust quantum simulators? (2012) · cites this paper as [98]
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“Alternative systems that can be used for quantum simulation include Rydberg atoms (Weimer et al., 2010) and polar molecules (Lewenstein, 2006; Micheli et al., 2006).”
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- Authors
- Weimer, H., Müller, M., Lesanovsky, I., Zoller, P., & Büchler, H. P.
- Affiliations
- University of Stuttgart (DE)
- Austrian Academy of Sciences (AT)
- Corresponding author
- Weimer, Hendrik
- Venue
- Nature Physics
- Published
- 2010-03-14
- Volume
- 6
- Issue
- 5
- Pages
- 382-388
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2099277972
- Cited by
- 867
- References
- 43
- Citations by year
- 2026: 39 · 2025: 56 · 2024: 54 · 2023: 66 · 2022: 57 · 2021: 57 · 2020: 71 · 2019: 38 · 2018: 53 · 2017: 42 · 2016: 61 · 2015: 47 · 2014: 58 · 2013: 52 · 2012: 50
- FWCI
- 28.82
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- Rydberg atoms, optical lattices, magnetic lattice, many-body interactions, spin systems, toric code, color codes, lattice gauge theory, spin liquid, optical pumping, quantum many-body systems
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