A.  Ehrenberg, Iosue, J. T., Deshpande, A., Hangleiter, D., and Gorshkov, A. V., ?The Second Moment of Hafnians in Gaussian Boson Sampling?, 2024.

J. T.  Iosue, Ehrenberg, A., Hangleiter, D., Deshpande, A., and Gorshkov, A. V., ?Page curves and typical entanglement in linear optics?, Quantum, vol. 7, p. 1017, 2023.

B.  Ware, Deshpande, A., Hangleiter, D., Niroula, P., Fefferman, B., Gorshkov, A. V., and Gullans, M., ?A sharp phase transition in linear cross-entropy benchmarking?, 2023.

A.  Ehrenberg, Iosue, J. T., Deshpande, A., Hangleiter, D., and Gorshkov, A. V., ?Transition of Anticoncentration in Gaussian Boson Sampling?, 2023.

A. Y.  Guo, Deshpande, A., Chu, S. - K., Eldredge, Z., Bienias, P., Devulapalli, D., Su, Y., Childs, A. M., and Gorshkov, A. V., ?Implementing a Fast Unbounded Quantum Fanout Gate Using Power-Law Interactions?, Phys. Rev. Research, vol. 4, no. L042016, 2022.

A.  Deshpande, Gorshkov, A. V., and Fefferman, B., ?Importance of the Spectral gap in Estimating Ground-State Energies?, PRX Quantum, vol. 3, 2022.

A.  Deshpande, Mehta, A., Vincent, T., Quesada, N., Hinsche, M., Ioannou, M., Madsen, L., Lavoie, J., Qi, H., Eisert, J., Hangleiter, D., Fefferman, B., and Dhand, I., ?Quantum computational advantage via high-dimensional Gaussian boson sampling?, Science Advances, vol. 8, p. eabi7894, 2022.

A.  Ehrenberg, Deshpande, A., Baldwin, C. L., Abanin, D. A., and Gorshkov, A. V., ?Simulation Complexity of Many-Body Localized Systems?, 2022.

A.  Deshpande, Mehta, A., Vincent, T., Quesada, N., Hinsche, M., Ioannou, M., Madsen, L., Lavoie, J., Qi, H., Eisert, J., Hangleiter, D., Fefferman, B., and Dhand, I., ?Quantum Computational Supremacy via High-Dimensional Gaussian Boson Sampling?, 2021.

A.  Deshpande, Fefferman, B., Gorshkov, A. V., Gullans, M., Niroula, P., and Shtanko, O., ?Tight bounds on the convergence of noisy random circuits to uniform?, 2021.

Z.  Eldredge, Zhou, L., Bapat, A., Garrison, J. R., Deshpande, A., Chong, F. T., and Gorshkov, A. V., ?Entanglement Bounds on the Performance of Quantum Computing Architectures?, Phys. Rev. Research, vol. 2, no. 033316, 2020.

M. C.  Tran, Chen, C. - F., Ehrenberg, A., Guo, A. Y., Deshpande, A., Hong, Y., Gong, Z. - X., Gorshkov, A. V., and Lucas, A., ?Hierarchy of linear light cones with long-range interactions?, Physical Review X, vol. 10, no. 031009, 2020.

O.  Shtanko, Deshpande, A., Julienne, P. S., and Gorshkov, A. V., ?Limits on Classical Simulation of Free Fermions with Dissipation?, 2020.

M. C.  Tran, Deshpande, A., Guo, A. Y., Lucas, A., and Gorshkov, A. V., ?Optimal state transfer and entanglement generation in power-law interacting systems?, 2020.

N.  Maskara, Deshpande, A., Tran, M. C., Ehrenberg, A., Fefferman, B., and Gorshkov, A. V., ?Complexity phase diagram for interacting and long-range bosonic Hamiltonians?, 2019.

V. Vikram Orre, Goldschmidt, E. A., Deshpande, A., Gorshkov, A. V., Tamma, V., Hafezi, M., and Mittal, S., ?Interference of Temporally Distinguishable Photons Using Frequency-Resolved Detection?, Phys. Rev. Lett. , vol. 123, no. 123603, 2019.

A.  Deshpande, Fefferman, B., Tran, M. C., Foss-Feig, M., and Gorshkov, A. V., ?Dynamical phase transitions in sampling complexity?, Phys. Rev. Lett., vol. 121, no. 030501, p. 12 pages, 4 figures. v3: published version, 2018.

A.  Deshpande, Fefferman, B., Foss-Feig, M., and Gorshkov, A. V., ?Complexity of sampling as an order parameter?, 2017.

A.  Deshpande and Nielsen, A. E. B., ?Lattice Laughlin states on the torus from conformal field theory?, Journal of Statistical Mechanics: Theory and Experiment, vol. 2016, p. 013102, 2016.

S. M.  Roy, Deshpande, A., and Sakharwade, N., ?Remote tomography and entanglement swapping via von Neumann?Arthurs?Kelly interaction ?, Physical Review A, vol. 89, no. 5, p. 052107, 2014.