Quantum Mechanics as Quantum Information

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SUMMARY

The discussion centers on the epistemic interpretation of quantum mechanics, particularly the view that the quantum wavefunction represents our knowledge of a system rather than an objective reality. Key papers referenced include the foundational work by Harrigan and Spekkens (Found. Phys. 40, 125 (2010)) and explicit constructions of epistemic interpretations found in Phys. Rev. Lett. 109, 150404 and Phys. Rev. A 88, 032111. Limitations on these interpretations are discussed in Nature Physics 8, 475–478 (2012) and Phys. Rev. Lett. 110, 120401. The conversation highlights the implications of these interpretations, including their application to the quantum de Finetti representation theorem (J. Math. Phys. 43, 4537 (2002)).

PREREQUISITES
  • Understanding of quantum mechanics fundamentals
  • Familiarity with the concept of wavefunctions
  • Knowledge of epistemic interpretations in physics
  • Basic comprehension of quantum information theory
NEXT STEPS
  • Research the quantum de Finetti representation theorem and its implications
  • Explore the epistemic interpretation of quantum mechanics in detail
  • Study the limitations of epistemic interpretations as outlined in Nature Physics 8, 475–478 (2012)
  • Investigate the application of epistemic arguments to Bohmian mechanics
USEFUL FOR

Physicists, quantum information theorists, and students of quantum mechanics interested in the philosophical implications of quantum interpretations and their mathematical foundations.

Jilang
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Is there a thread on this forum that discusses this paper?
http://arxiv.org/pdf/quant-ph/0205039v1.pdf
It would suggest that the quantum wavefunction is a representation of our state of knowledge of a system. Is this an accepted view?
 
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There are various proposals in this spirit.

One definition of an epistemic view is given by http://arxiv.org/abs/0706.2661 (Found. Phys. 40, 125 (2010)).

Explicit constructions of epistemic interpretations are given by
http://arxiv.org/abs/1201.6554 (Phys. Rev. Lett. 109, 150404)
http://arxiv.org/abs/1303.2834 (Phys. Rev. A 88, 032111 )

Limitations on epistemic interpretations are found in
http://arxiv.org/abs/1111.3328 (Nature Physics 8, 475–478 (2012))
http://arxiv.org/abs/1208.5132 (Phys. Rev. Lett. 110, 120401)

Regardless of interpretation issues, one version of the epistemic view led to a very nice way to prove the quantum de Finetti representation theorem.
http://arxiv.org/abs/quant-ph/0104088 (J. Math. Phys. 43, 4537 (2002))

There are several definition of "epistemic". In addition to Harrigan and Spekkens definition referred to above, other proposals are:
http://arxiv.org/abs/1301.3274 (Rev. Mod. Phys. 85, 1693) - this is closest to the paper in the OP
http://arxiv.org/abs/1107.5849 (Phys. Rev. A 88, 052130)

It is also interesting to see an "epistemic" argument applied to Bohmian mechanics
http://arxiv.org/abs/0706.2522 (New J. Phys. 9 165 (2007))
 
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Wow! That's going to keep me busy all weekend! Thanks.
 

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