5 papers
Exact formula for geometric quantum complexity of cosmological perturbations
Satyaki Chowdhury, Jakub Mielczarek
Nielsen's geometric approach offers a powerful framework for quantifying the complexity of unitary transformations. In this formulation, complexity is defined as the length of the…
Spread and circuit complexity as a measure of particle content and phase space fluctuations
Satyaki Chowdhury
In this work, we investigate the relation between different notions of quantum complexity, namely, circuit and spread complexity and physically meaningful quantities such as the pa…
Geometric measure of quantum complexity in cosmological systems
Satyaki Chowdhury, Martin Bojowald, Jakub Mielczarek
In Nielsen's geometric approach to quantum complexity, the introduction of a suitable geometrical space, based on the Lie group formed by fundamental operators, facilitates the ide…
Benchmarking quantum chaos from geometric complexity
Arpan Bhattacharyya, Suddhasattwa Brahma, Satyaki Chowdhury +1
Recent studies have shown that there is a strong interplay between quantum complexity and quantum chaos. In this work, we consider a new method to study geometric complexity for in…
Geometric quantum complexity of bosonic oscillator systems
Satyaki Chowdhury, Martin Bojowald, Jakub Mielczarek
According to the pioneering work of Nielsen and collaborators, the length of the minimal geodesic in a geometric realization of a suitable operator space provides a measure of the…