8 papers
Loss-aware state space geometry for quantum variational algorithms
Ankit Gill, Kunal Pal
The natural gradient descent optimisation technique is an efficient optimising protocol for broad classes of classical and quantum systems that takes the underlying geometry of the…
A phase space approach to the wavefunction spreading and operator growth in the Krylov basis
Kunal Pal, Kuntal Pal, Keun-Young Kim
In the Wigner-Weyl phase space formulation of quantum mechanics, we analyse the problem of the spreading of an initial state or an initial operator under time evolution when descri…
Statistics and Complexity of Wavefunction Spreading in Quantum Dynamical Systems
Yichao Fu, Keun-Young Kim, Kunal Pal +1
We consider the statistics of the results of a measurement of the spreading operator in the Krylov basis generated by the Hamiltonian of a quantum system starting from a specified…
Geometry of quantum states and chaos-integrability transition
Ankit Gill, Keun-Young Kim, Kunal Pal +1
We consider the geometry of quantum states associated with different classes of random matrix Hamiltonians, in particular ensembles that show integrability to chaotic transition in…
Generalised state space geometry in Hermitian and non-Hermitian quantum systems
Kunal Pal
One of the key features of information geometry in the classical setting is the existence of a metric structure and a family of connections on the space of probability distribution…
Time-dependent Hamiltonians and Geometry of Operators Generated by Them
Kunal Pal, Kuntal Pal
We obtain the complexity geometry associated with the Hamiltonian of a quantum mechanical system, specifically in cases where the Hamiltonian is explicitly time-dependent. Using Ni…