Quantum Information Processing in Noisy Environments: Applications of System Dependent Random Matrix Techniques Anusandhan National Research Foundation (ANRF)

Alumni members

Ph. D. Students

Anisha Kundu

Area of Research: Quantum Information Theory

Devanshu Shekhar

Area of Research: Quantum Information Theory

Mohd Gayas Ansari

Area of Research: Condensed Matter Physics

Ratul Dutta

Area of Research: Statistical Physics

Journal

Single-Particle Entanglement Dynamics in Complex Systems by Shekhar D., Shukla P. Entropy 28 - (2026)
Review of Quantum generation of stochastic processes: spectral invariants and memory bounds" by Shukla P. Mathematical Reviews MaMathSciNet MR4930284 - (2026)
Review of Edge rigidity of Dyson Brownian motion with general initial data by Shukla P. Mathematical Reviews MathSciNet MR4798611 - (2025)
Review of Extreme eigenvalues of log-concave ensemble by Shukla P. Mathematical Reviews MathSciNet MR4863041 - (2025)
Review of Fermionic logarithmic negativity in the Krawtchouk chain by Shukla P. Mathematical Review MathSciNet MR4847036 - (2025)
Review of Moments of the derivative of the characteristic polynomial of unitary matrices by Shukla P. Mathematical Reviews MathSciNet MR4896531 - (2025)
Review of Universal eigenvalue statistics for dynamically defined matrices by Shukla P. Mathematical Reviews MathSciNet MR4803437 - (2025)
Distribution of the entanglement entropies of nonergodic quantum states by Shekhar D., Shukla P. Physical Review E 112 - (2025)
Erratum: Non-Hermitian Random Matrices and the Calogero-Sutherland Model [Phys. Rev. Lett. 87 , 194102 (2001)] by Shukla P. Physical Review Letters 134 109901- (2025)
Edge of entanglement in nonergodic states: A complexity parameter formulation by Shekhar D., Shukla P. Physical Review E 112 - (2025)
Corrigendum: Average spectral density of multiparametric Gaussian ensembles of complex matrices (2024 J. Phys. A: Math. Theor. 57 095005) by Shukla P., Ansari M. J. Phys. A: Math. Theor. 57 029501- (2025)
Review of Eigenvectors of the square grid plus GUE by Shukla P. Mathematical Review MathSciNet MR4689368 - (2024)
Review of Log determinant of large correlation matrices under infinite fourth moment by Shukla P. Mathematical Reviews MathSciNet MR4757517 - (2024)
Review of Moments based entanglement criteria and measures by Shukla P. Mathematical Review MathSciNet MR4689368 - (2024)
Review of Quantifying the unextendibility of entanglement by Shukla P. Mathematical Review MathSciNet MR4730858 - (2024)
Average spectral density of multiparametric Gaussian ensembles of complex matrices by Gayas Ansari M., Shukla P. Journal of Physics A: Mathematical and Theoretical 57 - (2024)
Quantising a Hamiltonian curl force by Berry M.V., Shukla P. Journal of Physics A: Mathematical and Theoretical 57 - (2024)
Spectral fluctuations of multi-parametric complex matrix ensembles: evidence of a single parameter dependence by Shukla P., Ansari . Journal of Physics A: Mathematical and Theoretical 57 455001- (2024)
Spectral fluctuations of multiparametric complex matrix ensembles: evidence of a single parameter dependence by Ansari M.G., Shukla P. Journal of Physics A: Mathematical and Theoretical 57 - (2024)
Entanglement dynamics of multi-parametric random states: a single parametric formulation by Shukla P., Sekhar D. Journal of Physics A: Mathematical and Theoretical 56 265303-265338 (2023)
Universality of ultrasonic attenuation coefficient of amorphous systems at low temperatures by Shukla P. Scientific Reports 12 - (2022)
Many body density of states in the edge of the spectrum: Non-interacting limit by Shukla P. Journal of Physics A: Mathematical and Theoretical 55 - (2022)
A universal dimensionless length scale in medium range order amorphous structures by Shukla P. Journal of Physics Condensed Matter 34 - (2022)
Average density of states of amorphous Hamiltonians: Role of phonon mediated coupling of nano-clusters by Shukla P. Journal of Physics Condensed Matter 34 - (2022)
Uncertainty inequalities for superoscillations by Berry M.V., Shukla P. Journal of Physics A: Mathematical and Theoretical 55 - (2022)
Low temperature heat capacity of nanosize amorphous solids by Shukla P. Journal of Physics Condensed Matter 33 - (2021)
Semiclassical superoscillations: Interference, evanescence, post-WKB by Berry M.V., Shukla P. New Journal of Physics 23 - (2021)
Spectral and strength statistics of chiral Brownian ensemble by Shukla P. Journal of Physics A: Mathematical and Theoretical 54 - (2021)
Quantum metric statistics for random-matrix families by Berry M.V., Shukla P. Journal of Physics A: Mathematical and Theoretical 53 275202- (2020)
Spectral statistics of multiparametric Gaussian ensembles with chiral symmetry by Mondal T., Shukla P. Physical Review E 102 032131- (2020)
Extensive nature of long range interactions: Role of disorder by Shukla P. Journal of Physics A: Mathematical and Theoretical 53 165001- (2020)
Statistical analysis of chiral structured ensembles: Role of matrix constraints by Shukla P., Mondal T. Physical Review E 99 022124-022138 (2019)
Geometric Phase Curvature Statistics, by Berry M. V., Shukla P. Journal of Statistical Physics 180 297-303 (2019)
Geometry of 3D monochromatic light: local wavevectors, phases..... by Berry M., Shukla P. Journal of Optics 21 064002-064015 (2019)
Disordered perturbed flat bands II: search for criticality by Shukla P. Physical Review B 98 184202- (2018)
Disorder perturbed flat bands: Level density and inverse participation ratio by Shukla P. Physical Review B 98 054206-054220 (2018)
Geometric phase curvature for random states by Shukla P., Berry M. Journal of Physics A 51 475101- (2018)
Extended states with Poisson spectral statistics by Shukla P., Mondal T. , Sadhukhan S. Physical Review E 062102- (2017)
Eigenfunction statistics of Wishart Brownian ensembles by Shukla P. Journal of Physics A 50 435003- (2017)
Criticality in Brownian ensembles by Shukla P., Sadhukhan S. Physical Reviiew E 012109- (2017)
Localization to Delocalization Transitions: is Rosenzweig-Porter ensemble the hidden skelton? by Shukla P. New Journal of Physics 18 - (2016)
Curl force dynamics: symmetries, Chaos and constants of motion by M.V. Berry and P. Shukla New Journal of Physics 18, IOP, UK - (2016)
Weak Measurements: typical weak and superweak values by Shukla P. Current Science 109 2039-2043 (2015)
Hamiltonian Curl Forces by Berry M., Shukla P. Proceedings of Royal Society A 471 20150002- (2015)
Random matrix ensembles with column/ row constraints: I by Shukla P., Sadhukhan S. Journal of Physics A 48 415002- (2015)
Random matrix ensembles with column/ row constraints: II by Sadhukhan S., Shukla P. Journal of Physics A 48 415003- (2015)
Universality classes in Coulomb blockade conductance peak-height statistics by Hey D., Shukla P. Physical Review E 90 052118- (2014)
Super-adiabatic optical forces on a dipole: exactly solvable model for a vortex field by Berry M., Shukla P. Journal of Physics A 47 125201- (2014)
Physical curl forces: dipole dynamics near optical vortices by Berry M., Shukla P. Journal of Physics A 46 422001- (2013)
Hearing random matrices and random waves by Berry M., Shukla P. New Journal of Physics 15 013026- (2013)
Classical dynamics with curl forces, and motion driven by time-dependent flux by Berry M., Shukla P. Journal of Physics A:Mathematical &Theoretical 45 305201- (2012)
Generalized random matrix theory: a mathematical probe for complexity by Shukla P. International Journal of Modern Physics B 26 12300008- (2012)
Pointer super-shifts and super-oscillations in weak measurements, by Berry M., Shukla P. Journal of Physics A: Mathematical & General 45 015301- (2011)
Can apperent superluminal neutrino speeds can be explained as a quantum weak measurement? by M V Berry, N. Bruner, S. Popescu and P. Shukla Journal of Physics A 44, IOP, UK - (2011)
Conductance fluctuations in almost closed quantum dots of arbitrary shape by D.Dey and P. Shukla Physical Review B 84, APS, USA - (2011)
Anderson Localisation in tight-binding models with flat bands by J.T.Chalker, T.S.Pickles and P. Shukla Physical Review B 82, APS, USA - (2010)
Typical weak and superweak values by M.V. Berry and P. Shukla Journal of Physics A 43, IOP, UK - (2010)
Towards a common thread in complexity: an accuracy based approach by P. Shukla Journal of Physics A 41, IOP, UK - (2008)
Eigenfunction statistics of complex systems: a single parametric formulation by P.Shukla Physical Review E 75, APS, USA - (2007)
Level-statistics in disordered systems: a single parametric scaling and connection to brownian ensembles by P. Shukla Journal of Physics C 17, IOP, UK - (2005)
Random matrices with correlated elements: a model for disorder with interactions by P. Shukla Physical Review E 71, APS, USA - (2005)
Non-hermiticity and calogero-sutherland hamiltonian by P. Shukla Physical Review Letters 87, APS, USA - (2001)

Edited Volume

Claritons and the asymptotics of ideas: the physics of Michael Berry by Dennis M., Howls C., Robbins J., Shukla P. Journal of Physics A: Mathematical and Theoretical 57 - (2024)