dorsal/arxiv
View SchemaQuantum-mechanical probability from the symmetries of two-state systems
| Authors | L. Polley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9906124 |
| URL | https://arxiv.org/abs/quant-ph/9906124 |
Abstract
In 1989, Deutsch gave a basic physical explanation of why quantum-mechanical probabilities are squares of amplitudes. Essentially, a general state vector is transformed into a highly symmetric equal-amplitude superposition. The argument was recently elaborated and publicised by DeWitt. It has remained incomplete, however, inasmuch as both authors anticipate the usual normalization (sum of amplitudes squared) of state vectors. In the present paper, a thought experiment is devised in which Deutsch's idea is demonstrated independently of the normalization, exploiting further symmetries instead.
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"abstract": "In 1989, Deutsch gave a basic physical explanation of why quantum-mechanical\nprobabilities are squares of amplitudes. Essentially, a general state vector is\ntransformed into a highly symmetric equal-amplitude superposition. The argument\nwas recently elaborated and publicised by DeWitt. It has remained incomplete,\nhowever, inasmuch as both authors anticipate the usual normalization (sum of\namplitudes squared) of state vectors. In the present paper, a thought\nexperiment is devised in which Deutsch\u0027s idea is demonstrated independently of\nthe normalization, exploiting further symmetries instead.",
"arxiv_id": "quant-ph/9906124",
"authors": [
"L. Polley"
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"title": "Quantum-mechanical probability from the symmetries of two-state systems",
"url": "https://arxiv.org/abs/quant-ph/9906124"
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