dorsal/arxiv
View SchemaQuantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer and the transition from quantum to classical
| Authors | Wojciech Hubert Zurek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703160 |
| URL | https://arxiv.org/abs/quant-ph/0703160 |
| DOI | 10.1103/PhysRevA.76.052110 |
| Journal | Phys. Rev. A 76, 052110 (2007) |
Abstract
Measurements transfer information about a system to the apparatus, and then further on -- to observers and (often inadvertently) to the environment. I show that even imperfect copying essential in such situations restricts possible unperturbed outcomes to an orthogonal subset of all possible states of the system, thus breaking the unitary symmetry of its Hilbert space implied by the quantum superposition principle. Preferred outcome states emerge as a result. They provide framework for the ``wavepacket collapse'', designating terminal points of quantum jumps, and defining the measured observable by specifying its eigenstates. In quantum Darwinism, they are the progenitors of multiple copies spread throughout the environment -- the fittest quantum states that not only survive decoherence, but subvert it into carrying information about them -- into becoming a witness.
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"abstract": "Measurements transfer information about a system to the apparatus, and then\nfurther on -- to observers and (often inadvertently) to the environment. I show\nthat even imperfect copying essential in such situations restricts possible\nunperturbed outcomes to an orthogonal subset of all possible states of the\nsystem, thus breaking the unitary symmetry of its Hilbert space implied by the\nquantum superposition principle. Preferred outcome states emerge as a result.\nThey provide framework for the ``wavepacket collapse\u0027\u0027, designating terminal\npoints of quantum jumps, and defining the measured observable by specifying its\neigenstates. In quantum Darwinism, they are the progenitors of multiple copies\nspread throughout the environment -- the fittest quantum states that not only\nsurvive decoherence, but subvert it into carrying information about them --\ninto becoming a witness.",
"arxiv_id": "quant-ph/0703160",
"authors": [
"Wojciech Hubert Zurek"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"hep-th"
],
"doi": "10.1103/PhysRevA.76.052110",
"journal_ref": "Phys. Rev. A 76, 052110 (2007)",
"title": "Quantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer and the transition from quantum to classical",
"url": "https://arxiv.org/abs/quant-ph/0703160"
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