Local Realistic Model for the Dynamics of Bulk-Ensemble NMR Information Processing
Open accessAbstract
We construct a local realistic hidden-variable model that describes the states and dynamics of bulk-ensemble NMR information processing up to about 12 nuclear spins. The existence of such a model rules out violation of any Bell inequality, temporal or otherwise, in present high-temperature, liquid-state NMR experiments. The model does not provide an efficient description in that the number of hidden variables grows exponentially with the number of nuclear spins.
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In the liquid NMR demonstration, because the qubits are at all times in a highly mixed state and the dynamics can be fully modelled classically, neither the entanglement nor the coherent control at the core of Shor's algorithm can be implemented or verified.
“However, since the qubits are at all times in a highly mixed state [15], and the dynamics can be fully modelled classically [16], neither the entanglement nor the coherent control at the core of Shor's algorithm can be implemented or verified.”
From Experimental Demonstration of a Compiled Version of Shor’s Algorithm with Quantum Entanglement (2007) · cites this paper as [16]
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Cited by
Sorted by citations
Experimental Demonstration of a Compiled Version of Shor’s Algorithm with Quantum Entanglement
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- Authors
- Menicucci, N. C., & Caves, C. M.
- Affiliations
- University of New Mexico (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-04-04
- Volume
- 88
- Issue
- 16
- Pages
- 167901-167901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1968756365
- Cited by
- 43
- References
- 25
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 3 · 2023: 1 · 2021: 1 · 2020: 2 · 2019: 2 · 2018: 1 · 2017: 2 · 2015: 1 · 2014: 1 · 2013: 5 · 2012: 4
- FWCI
- 1.34
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- 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 › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- local realistic models, hidden variable models, Bell inequality violation, quantum state dynamics, nuclear spin ensembles, quantum foundations
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