dorsal/arxiv
View SchemaQuantum correlations from local amplitudes and the resolution of the Einstein-Podolsky-Rosen nonlocality puzzle
| Authors | C. S. Unnikrishnan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005103 |
| URL | https://arxiv.org/abs/quant-ph/0005103 |
| DOI | 10.1134/1.1405218 |
Abstract
The Einstein-Podolsky-Rosen nonlocality puzzle has been recognized as one of the most important unresolved issues in the foundational aspects of quantum mechanics. We show that the problem is resolved if the quantum correlations are calculated directly from local quantities which preserve the phase information in the quantum system. We assume strict locality for the probability amplitudes instead of local realism for the outcomes, and calculate an amplitude correlation function.Then the experimentally observed correlation of outcomes is calculated from the square of the amplitude correlation function. Locality of amplitudes implies that the measurement on one particle does not collapse the companion particle to a definite state. Apart from resolving the EPR puzzle, this approach shows that the physical interpretation of apparently `nonlocal' effects like quantum teleportation and entanglement swapping are different from what is usually assumed. Bell type measurements do not change distant states. Yet the correlations are correctly reproduced, when measured, if complex probability amplitudes are treated as the basic local quantities. As examples we discuss the quantum correlations of two-particle maximally entangled states and the three-particle GHZ entangled state.
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"abstract": "The Einstein-Podolsky-Rosen nonlocality puzzle has been recognized as one of\nthe most important unresolved issues in the foundational aspects of quantum\nmechanics. We show that the problem is resolved if the quantum correlations are\ncalculated directly from local quantities which preserve the phase information\nin the quantum system. We assume strict locality for the probability amplitudes\ninstead of local realism for the outcomes, and calculate an amplitude\ncorrelation function.Then the experimentally observed correlation of outcomes\nis calculated from the square of the amplitude correlation function. Locality\nof amplitudes implies that the measurement on one particle does not collapse\nthe companion particle to a definite state. Apart from resolving the EPR\npuzzle, this approach shows that the physical interpretation of apparently\n`nonlocal\u0027 effects like quantum teleportation and entanglement swapping are\ndifferent from what is usually assumed. Bell type measurements do not change\ndistant states. Yet the correlations are correctly reproduced, when measured,\nif complex probability amplitudes are treated as the basic local quantities. As\nexamples we discuss the quantum correlations of two-particle maximally\nentangled states and the three-particle GHZ entangled state.",
"arxiv_id": "quant-ph/0005103",
"authors": [
"C. S. Unnikrishnan"
],
"categories": [
"quant-ph"
],
"doi": "10.1134/1.1405218",
"title": "Quantum correlations from local amplitudes and the resolution of the Einstein-Podolsky-Rosen nonlocality puzzle",
"url": "https://arxiv.org/abs/quant-ph/0005103"
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