Characterization of Optimal Carbon Nanotubes Under Stretching and Validation of the Cauchy–Born Rule
Sign Up to like & getrecommendations! Published in 2017 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-018-1284-7
Abstract: Carbon nanotubes are modeled as point configurations and investigated by minimizing configurational energies including two- and three-body interactions. Optimal configurations are identified with local minima and their fine geometry is fully characterized in terms of… read more here.
Keywords: cauchy born; born rule; carbon nanotubes;
Analysis of Wallace’s Proof of the Born Rule in Everettian Quantum Mechanics: Formal Aspects
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DOI: 10.1007/s10701-018-0179-7
Abstract: To solve the probability problem of the Many Worlds Interpretation of Quantum Mechanics, D. Wallace has presented a formal proof of the Born rule via decision theory, as proposed by D. Deutsch. The idea is to get… read more here.
Keywords: born rule; proof; proof born; quantum mechanics ... See more keywords
Updating the Born Rule
Sign Up to like & getrecommendations! Published in 2017 at "New Journal of Physics"
DOI: 10.1088/1367-2630/aabe12
Abstract: Despite the tremendous empirical success of quantum theory there is still widespread disagreement about what it can tell us about the nature of the world. A central question is whether the theory is about our… read more here.
Keywords: quantum theory; born rule; non contextuality; updating born ... See more keywords
Experimental test of Born's rule by inspecting third-order quantum interference on a single spin in solids
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DOI: 10.1103/physreva.95.012107
Abstract: As a fundamental postulate of quantum mechanics, Born's rule assigns probabilities to the measurement outcomes of quantum systems and excludes multi-order quantum interference. Here we report an experiment on a single spin in diamond to… read more here.
Keywords: quantum; order; born rule; quantum interference ... See more keywords
Which-way double-slit experiments and Born-rule violation
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DOI: 10.1103/physreva.95.042129
Abstract: In which-way double-slit experiments with perfect detectors, it is assumed that having a second detector at the slits is redundant, as it will not change the interference pattern. We however show that if higher-order or… read more here.
Keywords: born rule; rule violation; way; slit experiments ... See more keywords
Environment-Assisted Invariance Does Not Necessitate Born’s Rule for Quantum Measurement
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DOI: 10.3390/e25030435
Abstract: The argument of environment-assisted invariance (known as envariance) implying Born’s rule is widely used in models for quantum measurement to reason that they must yield the correct statistics, specifically for linear models. However, it has… read more here.
Keywords: rule; born rule; environment assisted; quantum measurement ... See more keywords