2017
DOI: 10.22331/q-2017-07-14-13
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A Stronger Theorem Against Macro-realism

Abstract: Macro-realism is the position that certain "macroscopic" observables must always possess definite values: e.g. the table is in some definite position, even if we don't know what that is precisely. The traditional understanding is that by assuming macro-realism one can derive the Leggett-Garg inequalities, which constrain the possible statistics from certain experiments. Since quantum experiments can violate the Leggett-Garg inequalities, this is taken to rule out the possibility of macro-realism in a quantum u… Show more

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Cited by 17 publications
(6 citation statements)
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“…It is less known that eigenpreparation supported models are also in conflict with quantum mechanics. This was shown by Allen, Maroney, and Gogioso (2016) for quantum systems with Hilbert spaces of dimension greater than 3. In section 3.2 we show that this also applies to 3-dimensional Hilbert spaces.…”
Section: Eigenpreparation Supported and Undermining Modelsmentioning
confidence: 71%
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“…It is less known that eigenpreparation supported models are also in conflict with quantum mechanics. This was shown by Allen, Maroney, and Gogioso (2016) for quantum systems with Hilbert spaces of dimension greater than 3. In section 3.2 we show that this also applies to 3-dimensional Hilbert spaces.…”
Section: Eigenpreparation Supported and Undermining Modelsmentioning
confidence: 71%
“…In Section 3 we review how eigenpreparation mixing and eigenpreparation supported models are incompatible with quantum theory for Hilbert spaces with dimension two or more and three or more respectively, extending the earlier result in (Allen, Maroney, and Gogioso, 2016). However, in Section 4 we show that the distinction between eigenpreparation supported and eigenpreparation undermining macroscopic realism needed for this result, is subject to finite precision loopholes, which means that no experimental test can directly distinguish them.…”
Section: Introductionmentioning
confidence: 74%
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“…These assumptions codify classical physics but are contradicted by most interpretations of quantum theory. There exist at least three alternative readings of macrorealism [21][22][23]: Here we adopt the 'eigenstate-mixture' interpretation that is most amenable to experimental test and arguably most relevant [24] to models of dynamical wavefunction col-lapse [25]. The original proposal from LG called for determination of several two-time correlation functions -a daunting challenge in the laboratory.…”
Section: Introductionmentioning
confidence: 99%