2010

On the "principle of the quantumness", the quantumness of Relativity, and the computational grand-unification

D'Ariano, Giacomo Mauro

Understand

After reviewing recently suggested operational "principles of the quantumness", I address the problem on whether Quantum Theory (QT) and Special Relativity (SR) are unrelated theories, or instead, if the one implies the other.

I show how SR can be indeed derived from causality of QT, within the computational paradigm "the universe is a huge quantum computer", reformulating QFT as a Quantum-Computational Field Theory (QCFT).
In QCFT SR emerges from the fabric of the computational network, which also naturally embeds gauge invariance.
In this scheme even the quantization rule and the Planck constant can in principle be derived as emergent from the underlying causal tapestry of space-time.

Built on

T. D. Newton and E. P Wigner, Rev. Mod. Phys. 21
1949
Earlier work this paper cites.
A. R Lee and T. M Kalotas, Am. J. of Phys. 43
1975
Earlier work this paper cites.
M. Suzuki, Comm. Math. Phys. 51
1976
Earlier work this paper cites.
T. Nakamura, J. of Math. Phys. 32
Original
1991
Earlier work this paper cites.
P. Teller, An Interpretative Introduction to Quantum Field Theory
1995
Earlier work this paper cites.

Similar

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M. A. Nielsen and I. L. Chuang, Phys. Rev. Lett. 79
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S Abramsky and B Coecke, Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 415
2004
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G. M. D’Ariano, CP844, p. 101, (AIP, Melville, New York, 2006)
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M. Lange, The Philosophy of Physics
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G. Chiribella, G. M. D’Ariano, and P. Perinotti, arXive 0908.1583
Cited in the paper.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, (unpublished)
Cited in the paper.
G. M. D’Ariano and A. Tosini, arXive 0911.5409
Cited in the paper.

Then

L. Hardy, J. Phys. A: Math. Theor. 40
2007
Later among the works it cites.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, Europhys. Lett. 83
2008
Later among the works it cites.
G. Chiribella, G. M. D’Ariano, and P. Perinotti, Phys. Rev. A 80
2009
Later among the works it cites.
G. M. D’Ariano, in Philosophy of quantum information and entanglement , A. Bokulich and G. Jaeger eds., (Cambridge University Press, Cambridge UK, 2010). Also arXive 0807.4383
2010
Closest in time.

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