Current Research Interests
Current Research Interests
1. Quantum Thermodynamics
With our ever-increasing ability to manipulate and control small quantum systems, coupled with rapid advancements in technology, it has become essential to develop a deeper understanding of the energetics of these systems. Classical thermodynamics, designed to describe macroscopic systems in or near equilibrium, is insufficient for capturing the intricate behaviors and unique features of small...
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2. Quantum Computation
Scalable quantum computation, capable of outperforming classical systems for a wide range of tasks, fundamentally relies on quantum error correction (QEC) to maintain coherence and mitigate errors caused by environmental noise and imperfect operations. However, the technical challenges associated with implementing fault-tolerant QEC at scale remain significant, making fully scalable quantu...
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3. Quantum Foundations
Understanding the emergence of classicality from the underlying microscopic quantum dynamics—a process that gives rise to the so-called quantum-classical boundary—has long been a central challenge in quantum mechanics. This issue is deeply intertwined with the equally longstanding problem of quantum measurement, which seeks to explain how definite outcomes arise from the probabilis...
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4. Quantum Information Theory
Both discrete quantum systems, such as qubits (two-level systems) and qudits (higher-dimensional quantum systems), and continuous-variable (CV) quantum systems, such as modes of light, play crucial roles as testbeds for the study of quantum information theory and quantum computation. Each platform offers unique advantages and challenges, and our research aims to explore their potential for advancin...
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Recent Publications:
S. Bhattacharyya, U. Singh, A. Sengupta, "Tipping points in fitness landscape of heterogeneous populations", arXiv:2410.17791.
Sohail, V. Pandey, U. Singh, S. Das, "Fundamental limitations on the recoverability of quantum processes", arXiv:2403.12947.
U. Singh, A. Sawicki, J. K. Korbicz, "Pointer States in the Born-Markov Approximation", Phys. Rev. Lett. 132, 030203 (2024) [arXiv:2212.09790].
U. Singh, J. K. Korbicz, N. J. Cerf, "Gaussian work extraction from random Gaussian states is nearly impossible", Phys. Rev. Res. 5, L032010 (2023) [arXiv:2212.03492].
A. S. Arora, A. Coladangelo, M. Coudron, A. Gheorghiu, U. Singh, H. Waldner, "Quantum Depth in the Random Oracle Model", STOC 2023: Proceedings of the 55th Annual ACM Symposium on Theory of Computing, 1111-1124 [arXiv:2210.06454].
Teaching:
CV Quantum Information Theory
Spring 2024
Probability and Statistics
Monsoon 2023
Quantum Information Theory
Spring 2024
Monsoon 2023