Next Article in Journal
Simple Entropic Derivation of a Generalized Black-Scholes Option Pricing Model
Previous Article in Journal
A Spacetime Foam Approach to the Schwarzschild-de Sitter Entropy
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
Download PDF [112 KB, uploaded 24 February 2015]


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 holography; quantum gravity; quantum Information
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.

Share & Cite This Article

Further Mendeley | CiteULike
Export to BibTeX |
MDPI and ACS Style

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

View more citation formats

Related Articles

Article Metrics

For more information on the journal, click here


Cited By

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert