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Local realistic model for the dynamics of bulk-ensemble NMR information processing
N C Menicucci1, Carlton M Caves
1Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131-1156, USA.
Physical Review Letters
|April 17, 2002
Summary
A new hidden-variable model explains nuclear magnetic resonance (NMR) information processing for up to 12 spins. This finding rules out Bell inequality violations in current liquid-state NMR experiments.
Area of Science:
- Quantum mechanics
- Nuclear magnetic resonance (NMR) spectroscopy
- Information processing
Background:
- Bell inequalities are crucial for testing quantum mechanics.
- Previous studies have explored quantum correlations in NMR.
- Understanding the limits of local realism in complex systems is important.
Purpose of the Study:
- To construct a local realistic hidden-variable model for bulk-ensemble NMR.
- To determine if Bell inequality violations can occur in current NMR experiments.
- To describe the states and dynamics of NMR information processing.
Main Methods:
- Development of a local realistic hidden-variable model.
- Application of the model to bulk-ensemble Nuclear Magnetic Resonance (NMR) information processing.
- Analysis of systems with up to 12 nuclear spins.
Main Results:
- A local realistic hidden-variable model was successfully constructed for NMR information processing up to 12 nuclear spins.
- The existence of this model demonstrates that Bell inequality violations are ruled out in current high-temperature, liquid-state NMR experiments.
- The model's description is inefficient, with hidden variables growing exponentially with the number of nuclear spins.
Conclusions:
- Current high-temperature, liquid-state NMR experiments do not violate Bell inequalities.
- Local realism provides a valid framework for describing NMR information processing within the studied limits.
- While descriptive, the hidden-variable model is computationally intensive for larger systems.