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Project
Quantum complexity, quantum entanglement and the emergence of spacetime (FWOAL1051)
Research over the last decade has established that appropriately
structured non-local quantum entanglement may underpin the
emergence of spacetime from the underlying degrees of freedom,
and the recovery of information from black holes. To realize this
picture in the model that describes M-theory, the master theory in 11
dimensions from which all string theories descend, we must learn
how to describe and compute entanglement between the degrees of
freedom in systems of interacting matrices. We propose to develop
this formalism and to apply it to the matrix model of M-theory.
Meanwhile, another chain of reasoning has suggested that, in
addition to entanglement, the complexity of time evolution, treated as
a quantum computation, is also geometrized via holographic dualities
with gravitating theories. This connection has led to precise
conjectures differentiating integrable and chaotic systems. We
propose to test these conjectures by developing and applying a
recent quantitative definition of complexity of time evolution in
physical theories. We will also develop the relation between
complexity and non-local entanglement patterns in quantum states of
the kind required for black hole information recovery
structured non-local quantum entanglement may underpin the
emergence of spacetime from the underlying degrees of freedom,
and the recovery of information from black holes. To realize this
picture in the model that describes M-theory, the master theory in 11
dimensions from which all string theories descend, we must learn
how to describe and compute entanglement between the degrees of
freedom in systems of interacting matrices. We propose to develop
this formalism and to apply it to the matrix model of M-theory.
Meanwhile, another chain of reasoning has suggested that, in
addition to entanglement, the complexity of time evolution, treated as
a quantum computation, is also geometrized via holographic dualities
with gravitating theories. This connection has led to precise
conjectures differentiating integrable and chaotic systems. We
propose to test these conjectures by developing and applying a
recent quantitative definition of complexity of time evolution in
physical theories. We will also develop the relation between
complexity and non-local entanglement patterns in quantum states of
the kind required for black hole information recovery
Date:1 Jan 2022 → Today
Keywords:String theory, Emergence of spacetime, Quantum complexity
Disciplines:Field theory and string theory