## Project Details

### Description

In this project, we will attempt to formulate the laws of physics as information theoretical
processes, and analyze the consiquences of such a construction. Thus, we will investiage
the laws of physics (including the geometric structure of spacetime itself), as an emmergent
property which would emmerge as a consequence of an information theoretical process. We
will develop the idea that the information present in a boundary theory is dual to the
information present in the bulk. As entropy measures the loss of information during an
information theoretical process, we will analyze aspects of holographic entanglement entropy
of a boundary theory by performing calculations in the bulk. We will use this
to analyze the black hole information paradox. We will also analyze the deformation of AdS bulk
by first order sting corrections, and analyze how this could effect the entanglement entropy
of such a system. It has been argued
that complexity is a more important quantity from an informational theoretical point of view,
as it measures the difficulty to process the information.
As physical of laws can be represented as information theoretical processes, and complexity
is an important information theoretical quantity, it is expected to be important for analyzing
physical systems. We will analyze the applications of this idea of complexity to physical processes
and investigate a formalism where we can express the physical processes in terms of complexity.
We will also use holography to calculate the complexity of a boundary theory by performing
bulk calculations. We will also analyze the holographic complexity and holographic entanglement entropy
for time dependent geometries.
It is known from the holography that the complexity of a conformal
field theory can be calculated from the bulk, and it can be demonstrated that there is a bound
on the maximum complexity of a boundary field theory. This bound is saturated by black holes,
and thus black holes from the fastest quantum computers. It is known that analogous black holes
like solutions can be formed in graphene and other condensed matter systems. We will
use the idea of complexity in these systems, and attempt to develop a theoretical proposal
for the fastest quantum computer.

### Layman's description

In this project, we will attempt to formulate the laws of physics as information theoretical
processes, and analyze the consiquences of such a construction. Thus, we will investiage
the laws of physics (including the geometric structure of spacetime itself), as an emmergent
property which would emmerge as a consequence of an information theoretical process. We
will develop the idea that the information present in a boundary theory is dual to the
information present in the bulk. As entropy measures the loss of information during an
information theoretical process, we will analyze aspects of holographic entanglement entropy
of a boundary theory by performing calculations in the bulk. We will use this
to analyze the black hole information paradox. We will also analyze the deformation of AdS bulk
by first order sting corrections, and analyze how this could effect the entanglement entropy
of such a system. It has been argued
that complexity is a more important quantity from an informational theoretical point of view,
as it measures the difficulty to process the information.
As physical of laws can be represented as information theoretical processes, and complexity
is an important information theoretical quantity, it is expected to be important for analyzing
physical systems. We will analyze the applications of this idea of complexity to physical processes
and investigate a formalism where we can express the physical processes in terms of complexity.
We will also use holography to calculate the complexity of a boundary theory by performing
bulk calculations. We will also analyze the holographic complexity and holographic entanglement entropy
for time dependent geometries.
It is known from the holography that the complexity of a conformal
field theory can be calculated from the bulk, and it can be demonstrated that there is a bound
on the maximum complexity of a boundary field theory. This bound is saturated by black holes,
and thus black holes from the fastest quantum computers. It is known that analogous black holes
like solutions can be formed in graphene and other condensed matter systems. We will
use the idea of complexity in these systems, and attempt to develop a theoretical proposal
for the fastest quantum computer.

### Key findings

D. Momeni et al., Phys.Lett. B762 (2016) 276-282
D. Momeni et al.,Phys.Lett. B766 (2017) 94-101
D. Momeni et al.,Eur.Phys.J. C77 (2017) no.6, 391
D. Momeni et al.,Phys.Lett. B765 (2017) 154-158
D. Momeni et al.,Phys.Lett. B756 (2016) 354-357
K. H. Knuth , AIP Conf. Proc. 1305, 3 (2011)
P. Goyal, Information 3, 567 (2012)
T. Jacobson, Phys. Rev. Lett. 75, 1260 (1995)
G. ?t Hooft, [arXiv:gr-qc/9310026]
L. Susskind, J. Math. Phys. 36, 6377 (1995)
J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998)
A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996)
J. M. Maldacena, JHEP 0304, 021 (2003)
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96, 181602
(2006)
V. E. Hubeny, M. Rangamani and T. Takayanagi, JHEP 0707, 062 (2007)
F. Barahona, J. Phys. A 15, 3241 (1982)
M. Troyer and U. J. Wiese. Phys. Rev. Lett 94, 170201 (2005)
J. Grunenberg, Phys. Chem. Chem. Phys. 13, 10136 (2011)
M. Stanowski, Complicity 2, 78 (2011)
S. W. Hawking, M. J. Perry and A. Strominger, Phys. Rev. Lett. 116, 231301 (2016)

Short title | There are strong indication from studies done in different branches of physics that the laws of physics are information theoretical processes \cite{info, info2}. This makes it important to understand the information theory, and develop this proposal |
---|---|

Acronym | TTotP |

Status | Not started |

### Keywords

- Quantum computing
- Fundamental Physics and beyond it
- Information theory
- Gauge/String duality
- Complex systems

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