Quantum Mechanics as Quantum Information

In summary, the conversation discusses various proposals for an epistemic view of quantum mechanics, which suggests that the wavefunction is a representation of our state of knowledge of a system. There are several definitions and constructions of epistemic interpretations, as well as limitations and applications to different interpretations of quantum mechanics. Ultimately, this view has led to a proof of the quantum de Finetti representation theorem.
  • #1
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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  • #2
There are various proposals in this spirit.

One defintion 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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  • #3
Wow! That's going to keep me busy all weekend! Thanks.
 

1. What is the difference between classical and quantum information?

Classical information is based on bits, which can only have a value of 0 or 1, while quantum information is based on qubits, which can exist in multiple states simultaneously. This allows for more complex and efficient processing of information in quantum systems.

2. How does quantum information relate to quantum mechanics?

Quantum information is a subfield of quantum mechanics that focuses on the study of information processing and communication using quantum systems. It utilizes principles from quantum mechanics, such as superposition and entanglement, to manipulate and transmit information.

3. What are some applications of quantum information?

Quantum information has a wide range of potential applications, including quantum cryptography, quantum computing, and quantum teleportation. It also has applications in fields such as medicine, finance, and artificial intelligence.

4. What are the challenges in utilizing quantum information?

One of the main challenges in utilizing quantum information is the fragile nature of quantum systems. They are easily affected by external noise and interactions, which can cause errors in processing and communication. Another challenge is the difficulty in controlling and measuring quantum systems accurately.

5. How is quantum information being researched and developed?

Quantum information is being researched and developed through a combination of theoretical and experimental approaches. Theoretical research involves the development of new algorithms and protocols for manipulating and transmitting information using quantum systems. Experimental research involves building and testing physical systems that can implement these algorithms and protocols.

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