138 citations · 593 across the 19 of their papers we have counts for
6 papers · 1 filter
Quantum complexity and localization in random and time-periodic unitary circuits
Himanshu Sahu, Aranya Bhattacharya, Pingal Pratyush Nath
We study the growth and saturation of complexity in Krylov basis in random quantum circuits. In Haar-random unitary evolution, we show that, for large system sizes, this notion of…
Speed limits to the growth of Krylov complexity in open quantum systems
Aranya Bhattacharya, Pingal Pratyush Nath, Himanshu Sahu
Recently, the propagation of information through quantum many-body systems, developed to study quantum chaos, have found many application from black holes to disordered spin system…
Krylov complexity for non-local spin chains
Aranya Bhattacharya, Pingal Pratyush Nath, Himanshu Sahu
Building upon recent research in spin systems with non-local interactions, this study investigates operator growth using the Krylov complexity in different non-local versions of th…
Complexity for one-dimensional discrete time quantum walk circuits
Aranya Bhattacharya, Himanshu Sahu, Ahmadullah Zahed +1
We compute the complexity for the mixed state density operator derived from a one-dimensional discrete-time quantum walk (DTQW). The complexity is computed using a two-qubit quantu…
On Krylov complexity in open systems: an approach via bi-Lanczos algorithm
Aranya Bhattacharya, Pratik Nandy, Pingal Pratyush Nath +1
Continuing the previous initiatives arXiv: 2207.05347 and arXiv: 2212.06180, we pursue the exploration of operator growth and Krylov complexity in dissipative open quantum systems.…
Operator growth and Krylov construction in dissipative open quantum systems
Aranya Bhattacharya, Pratik Nandy, Pingal Pratyush Nath +1
Inspired by the universal operator growth hypothesis, we extend the formalism of Krylov construction in dissipative open quantum systems connected to a Markovian bath. Our construc…