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most citedDistribution of Scattering Matrix Elements in Quantum Chaotic Scattering

52 citations · 517 across the 35 of their papers we have counts for

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quant-ph2023

Spectral crossover in non-hermitian spin chains: comparison with random matrix theory

Ayana Sarkar, Sunidhi Sen, Santosh Kumar

We systematically study the short range spectral fluctuation properties of three non-hermitian spin chain hamiltonians using complex spacing ratios. In particular we focus on the n…

quant-ph2022★ 6 cited

Random density matrices: Analytical results for mean fidelity and variance of squared Bures distance

Aritra Laha, Santosh Kumar

One of the key issues in quantum information theory related problems concerns with that of distinguishability of quantum states. In this context, Bures distance serves as one of th…

quant-ph2021★ 9 cited

Random density matrices: Analytical results for mean root fidelity and mean square Bures distance

Aritra Laha, Agrim Aggarwal, Santosh Kumar

Bures distance holds a special place among various distance measures due to its several distinguished features and finds applications in diverse problems in quantum information the…

quant-ph2020★ 18 cited

Wishart and random density matrices: Analytical results for the mean-square Hilbert-Schmidt distance

Santosh Kumar

Hilbert-Schmidt distance is one of the prominent distance measures in quantum information theory which finds applications in diverse problems, such as construction of entanglement…

quant-ph2018★ 25 cited

Exact distribution of spacing ratios for random and localized states in quantum chaotic systems

S. Harshini Tekur, Santosh Kumar, M. S. Santhanam

Typical eigenstates of quantum systems, whose classical limit is chaotic, are well approximated as random states. Corresponding eigenvalue spectra is modeled through appropriate en…

quant-ph2017★ 19 cited

Distribution of Off-Diagonal Cross Sections in Quantum Chaotic Scattering: Exact Results and Data Comparison

Santosh Kumar, Barbara Dietz, Thomas Guhr +1

The recently derived distributions for the scattering-matrix elements in quantum chaotic systems are not accessible in the majority of experiments, whereas the cross sections are.…