77 citations · 130 across the 5 of their papers we have counts for
5 papers
Geometric Phases Characterise Operator Algebras and Missing Information
Souvik Banerjee, Moritz Dorband, Johanna Erdmenger +1
We show how geometric phases may be used to fully describe quantum systems, with or without gravity, by providing knowledge about the geometry and topology of its Hilbert space. We…
From Complexity Geometry to Holographic Spacetime
Johanna Erdmenger, Marius Gerbershagen, Michal P. Heller +1
An important conjecture within the AdS/CFT correspondence relates holographic spacetime to the quantum computational complexity of the dual quantum field theory. However, the quant…
Berry phases, wormholes and factorization in AdS/CFT
Souvik Banerjee, Moritz Dorband, Johanna Erdmenger +2
For two-dimensional holographic CFTs, we demonstrate the role of Berry phases for relating the non-factorization of the Hilbert space to the presence of wormholes. The wormholes ar…
Exact Gravity Duals for Simple Quantum Circuits
Johanna Erdmenger, Mario Flory, Marius Gerbershagen +2
Holographic complexity proposals have sparked interest in quantifying the cost of state preparation in quantum field theories and its possible dual gravitational manifestations. Th…
Complexity measures from geometric actions on Virasoro and Kac-Moody orbits
Johanna Erdmenger, Marius Gerbershagen, Anna-Lena Weigel
We further advance the study of the notion of computational complexity for 2d CFTs based on a gate set built out of conformal symmetry transformations. Previously, it was shown tha…