Publications

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Recent:

2026

1. Thresholded quantum sensing with a frustrated Kitaev trimer, C. Huerta Alderete, Anubhav Kumar Srivastava, Bharath Hebbe Madhusudhana, and Andrew T. Sornborger., https://journals.aps.org/prresearch/abstract/10.1103/3z2c-2kkl 

2. Bayesian post-correction of non-Markovian errors in multi-mode bosonic gravimetry, Bharath Hebbe Madhusudhana, Andrew Harter, Avadh Saxena, https://arxiv.org/abs/2603.03426 

3. "Experimental characterization of coherent and non-Markovian errors using tangent space decomposition", Elia Perego, Andrea Rodriguez-Blanco, K. Birgitta Whaley, Bharath Hebbe Madhusudhana, https://arxiv.org/abs/2602.20128

4.  "Background cancellation for frequency-selective quantum sensing", Ricard Puig, Nathan Constantinides, Bharath Hebbe Madhusudhana, Daniel Bowring, C. Huerta Alderete, Andrew T. Sornborger https://arxiv.org/abs/2601.09792

2025

5. "Engineering multi-mode bosonic squeezed states using Monte-Carlo optimization ", Jieqiu Shao, Diego Dalvit, Lukasz Cincio and Bharath Hebbe Madhusudhana  https://arxiv.org/abs/2511.15805

6. "Solving tricky quantum optics problems with assistance from large language models", Manas Pandey, Bharath Hebbe Madhusudhana, Saikat Ghosh and Dmitry Budker, https://www.nature.com/articles/s42005-025-02398-2 

7. "Optimizing lossy state preparation for quantum sensing using Hamiltonian engineering", Bharath Hebbe Madhusudhana, Materials Today Quantum, https://www.sciencedirect.com/science/article/pii/S2950257825000241?via%3Dihub#fig1 

2024

8. "Mitigating Non-Markovian and Coherent Errors Using Quantum Process Tomography of Proxy States", I-Chi Chen and Bharath Hebbe Madhusudhana (2024) , https://arxiv.org/abs/2411.03458 

9. "Optical tweezer generation using automated alignment and adaptive optics", Bharath Hebbe Madhusudhana, Katarzyna Krzyzanowska and Malcolm Boshier (2024), https://arxiv.org/abs/2401.00860 

2023

10. "A symmetry-based protocol to benchmark quantum simulation of many-body physics", Aditya Prakash and Bharath Hebbe Madhusudhana (2024),  Phys. Rev. Research, 6, 043127   https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.6.043127 

11. "Benchmarking multi-qubit gates -- II: Computational aspects", Bharath Hebbe Madhusudhana (2023), Under review,  https://arxiv.org/abs/2301.07109

12. "Experimental realization of fragmented models in tilted Fermi-Hubbard chains", Thomas Kohlert, Sebastian Scherg,  Pablo Sala, Frank Pollmann, Bharath Hebbe Madhusudhana, Immanuel Bloch and Monika Aidelsburger, Phys. Rev. Lett, 130,010201 (2023) journals.aps.org/prl/abstract/10.1103/PhysRevLett.130.010201 

2022

13. "Benchmarking multi-qubit gates -- I: Metrological aspects", Bharath Hebbe Madhusudhana, (2022), Under review, https://arxiv.org/abs/2210.04330

14. "Benchmarking an approximate theory for localized 1D Fermi-Hubbard systems on a quantum simulator", Bharath Hebbe Madhsudhana, Sebastian Scherg, Thomas Kohlert, Immanuel Bloch, and Monika Aidelsburger, PRX Quantum, 2, 040325 (2021), journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.2.040325 

15. "Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains", Sebastian Scherg, Thomas Kohlert, Pablo Sala, Frank Pollmann, Bharath Hebbe Madhusudhana, Immanuel Bloch and Monika Aidelsburger, Nature Communications, 12, 4490 (2021), doi.org/10.1038/s41467-021-24726-0 

16. "Quantum entanglement, non-negative polynomials and moment problems", Grigoriy Blekherman, Bharath Hebbe Madhusudhana, Mathematical Programming, 1-28 (2020) link.springer.com/article/10.1007/s10107-020-01596-w 

17. "Exploring non-Abelian geometric phases in spin-1 ultracold atoms", Bharath Hebbe Madhusudhana, Matthew Boguslawski, Maryrose Barrios, Lin Xin and Michael S. Chapman, Phys. Rev. Lett. 123, 173202 (2019) journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.173202 

18. "Staircase in magnetization and entanglement entropy of spinor condensates", Bharath Hebbe Madhusudhana, Michael S Chapman and Carlos Sa de Melo, Phys. Rev. A.(R), 98 (3), 031601 (2018). journals.aps.org/pra/abstract/10.1103/PhysRevA.98.031601 

19. "Non-Abelian geometric phases carried by the spin fluctuation tensor", Bharath Hebbe Madhusudhana, Journal of Mathematical Physics, 59, 062105 (2018) aip.scitation.org/doi/abs/10.1063/1.5018188  

20. "Adiabatic quenches and characterization of amplitude excitations in a continuous quantum phase transition", Thai M. Hoang, Bharath Hebbe Madhusudhana, Matthew Boguslawski, Martin Anquez, Bryce A. Robbins and Michael S. Chapman, Proceedings of the National Academy of Sciences, 113, 34, 9475 (2016). doi.org/10.1073/pnas.1600267113 

21. "Quantum Kibble-Zurek mechanism in a spin-1 Bose-Einstein condensate", Martin Anquez, Bryce A. Robbins, Bharath Hebbe Madhusudhana , Matthew Boguslawski, Thai M. Hoang and Michael S. Chapman, Phys. Rev. Lett, 116, 155301, (2016). journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.155301 

22. "Classical simulation of entangled states", Bharath Hebbe Madhusudhana and V. Ravishankar, Phys. Rev. A., 89, 062110, (2014). journals.aps.org/pra/abstract/10.1103/PhysRevA.89.062110 

23.  "Quantum enhanced precision in a collective measurement", Bharath Hebbe Madhusudhana and Saikar Ghosh, arxiv.org/abs/1411.5090 

24. "Benford’s law: a theoretical explanation for base 2", Bharath Hebbe Madhusudhana, arxiv.org/abs/1211.7008 

25. "Non-holonomic constraint force postulates", Bharath Hebbe Madhusudhana, arxiv.org/abs/1010.3902