2009

Quantum Darwinism

Zurek, Wojciech Hubert

Understand

Quantum Darwinism describes the proliferation, in the environment, of multiple records of selected states of a quantum system.

It explains how the fragility of a state of a single quantum system can lead to the classical robustness of states of their correlated multitude; shows how effective `wave-packet collapse' arises as a result of proliferation throughout the environment of imprints of the states of quantum system; and provides a framework for the derivation of Born's rule, which relates probability of detecting states to their amplitude.
Taken together, these three advances mark considerable progress towards settling the quantum measurement problem.

Built on

Born, M., Zur Quantenmechanik der Stossvorgänge Zeits. Phys
1926
Earlier work this paper cites.
Landau. L., Das Dämpfungsproblem in der Wellenmechanik. Zeits. Phys
1927
Earlier work this paper cites.
Bohr, N. The quantum Postulate and the recent development of atomic theory Nature
1928
Earlier work this paper cites.
Schrödinger, E. Die gegenwärtige Situation in der Quantenmechanik. Naturwissenschaften
1935
Earlier work this paper cites.
Laplace, P. S,. 1820, A Philosophical Essay on Probabilities
1951
Earlier work this paper cites.
von Neumann, J. 1932, Mathematical Foundations of Quantum Theory
1955
Earlier work this paper cites.
Everett III, H., Relative state formulation of quantum theory. Rev. Mod. Phys
1957
Earlier work this paper cites.
Gleason, A. M., Measures on closed subspaces of Hilbert space, J. Math. Mech
1957
Earlier work this paper cites.
Dirac, P. A. M., Quantum Mechanics
1958
Earlier work this paper cites.
DeWitt, B. S., and Graham, N., eds., The Many - Worlds Interpretation of Quantum Mechanics
1973
Earlier work this paper cites.
Zurek, W. H. Pointer basis of a quantum apparatus: Into what mixture does the wavepacket collapse? Phys. Rev
1981
Earlier work this paper cites.
Zurek, W. H. Environment-induced superselection rules. Phys. Rev
1982
Earlier work this paper cites.

Similar

Wootters, W. K., and Zurek, W. H., A single quantum cannot be cloned. Nature 299
1982
Cited alongside, same era.
Dieks, D., Communication by EPR devices. Phys. Lett. 92A
1982
Cited alongside, same era.
Wheeler, J. A., It from Bit. p. 3 in Complexity, Entropy, and the Physics of Information
1990
Cited alongside, same era.
Zurek, W. H., Habib, S., and Paz, J.-P., Coherent states via decoherence Phys. Rev. Lett
1993
Cited alongside, same era.
Tegmark, M., and Shapiro, H. S., Decoherence produces coherent states: An explicit proof for harmonic chains. Phys. Rev
1994
Cited alongside, same era.
Gallis, M. R., The emergence of classicality via decoherence described by Lindblad operators. Phys. Rev
1996
Cited alongside, same era.
Zurek, W. H., Einselection and decoherence from an information theory perspective. Ann. Physik
2000
Cited alongside, same era.
Nielsen, M. A., and I. L. Chuang, Quantum Computation and Quantum Information
2000
Cited alongside, same era.
Auletta, G., Foundations and Interpretation of Quantum Theory
2000
Cited alongside, same era.
Paz, J.-P., and Zurek, W. H., Environment-induced decoherence and the transition from quantum to classical. pp. 533-614 in Coherent Atomic Matter Waves, Les Houches Lectures
2001
Cited alongside, same era.
Joos, E., Zeh, H. D., Kiefer, C., Giulini, D., Kupsch, J., and Stamatescu, I.-O., Decoherence and the Appearancs of a Classical World in Quantum Theory
2003
Cited alongside, same era.
Zurek, W. H. Decoherence, einselection, and the quantum origins of the classical Rev. Mod. Phys
2003
Cited alongside, same era.

Then

Zurek, W. H., Environment-assisted invariance, causality, and probabilities in quantum physics. Phys. Rev. Lett
2003
Later among the works it cites.
Barnum, H., No-signalling-based version of Zurek’s derivation of quantum probabilities: A note on “Environment-assisted invariance, entanglement, and probabilities in quantum physics”, arXiv:quant-ph/0312150 (2003)
2003
Later among the works it cites.
Ollivier, H., Poulin, D, and Zurek, W. H., Objective properties from subjective quantum states: Environment as a witness. Phys. Rev. Lett
2004
Later among the works it cites.
Blume-Kohout, R., and Zurek, W. H., A simple example of “Quantum Darwinism”: Redundant information storage in many-spin environments Found. Phys
2005
Later among the works it cites.
Ollivier, H., Poulin, D., and Zurek, W. H., Environment as a Witness: Selective Proliferation of Information and Emergence of Objectivity in a Quantum Universe Phys. Rev
2005
Later among the works it cites.
Zurek, W. H., Probabilities from entanglement, Born’s rule from envariance. Phys. Rev
2005
Later among the works it cites.
Schlosshauer, M, and Fine, A., On Zurek’s derivation of the Born rule. Found. Phys
2005
Later among the works it cites.
Blume-Kohout, R., and Zurek, W. H., Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information. Phys. Rev
2006
Later among the works it cites.
Schlosshauer, M. Decoherence and the Quantum - to - Classical Transition
2007
Later among the works it cites.
Zurek, W. H., Quantum origin of quantum jumps: Breaking of unitary symmetry induced by information transfer and the transition from quantum to classical. Phys. Rev
2007
Later among the works it cites.
Zurek, W. H., Relative States and the Environment: Einselection, Envariance, Quantum Darwinism, and the Existential Interpretation, arXiv:0707.2832 (2007)
Original
2007
Later among the works it cites.
Blume-Kohout, R., and Zurek, W. H., Quantum Darwinism in quantum Brownian motion. Phys. Rev. Lett.,
2008
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…