Entropy 2000, 2(1), 39-69; doi:10.3390/e2010039

Holography, Quantum Geometry, and Quantum Information Theory

Received: 1 November 1999; Accepted: 23 March 2000 / Published: 24 March 2000
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: We interpret the Holographic Conjecture in terms of quantum bits (qubits). N-qubit states are associated with surfaces that are punctured in N points by spin networks' edges labelled by the spin-½ representation of SU(2), which are in a superposed quantum state of spin "up" and spin "down". The formalism is applied in particular to de Sitter horizons, and leads to a picture of the early inflationary universe in terms of quantum computation. A discrete micro-causality emerges, where the time parameter is being defined by the discrete increase of entropy. Then, the model is analysed in the framework of the theory of presheaves (varying sets on a causal set) and we get a quantum history. A (bosonic) Fock space of the whole history is considered. The Fock space wavefunction, which resembles a Bose-Einstein condensate, undergoes decoherence at the end of inflation. This fact seems to be responsible for the rather low entropy of our universe.
Keywords: holography; quantum gravity; quantum Information
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MDPI and ACS Style

Zizzi, P.A. Holography, Quantum Geometry, and Quantum Information Theory. Entropy 2000, 2, 39-69.

AMA Style

Zizzi PA. Holography, Quantum Geometry, and Quantum Information Theory. Entropy. 2000; 2(1):39-69.

Chicago/Turabian Style

Zizzi, P. A. 2000. "Holography, Quantum Geometry, and Quantum Information Theory." Entropy 2, no. 1: 39-69.

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