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Journal of Physical Mathematics & its Applications

Quantum Computing in Practice: Navigating Simulation and Optimization on the Path to Quantum Advantage

Harish Rajendran

Published Apr 22, 2026• 0 citations
Publisher

Abstract

The commercial and scientific momentum behind quantum computing is accelerating rapidly, yet a critical gap remains between theoretical promise and practical implementation. This talk bridges that gap through some of the hands-on projects spanning quantum simulation and combinatorial optimization, implemented on real quantum software frameworks including Intel Quantum SDK, Eviden myQLM, PennyLane, and Qiskit.We begin by motivating the two most tractable near-term application domains - simulation and optimization, through current industry trends, before examining concrete implementations: a GAN-accelerated surrogate simulator for neutrino interactions in the INO-ICAL particle physics detector; a quantum-accelerated Quantum Monte Carlo workflow for correlated electron systems, developed in collaboration with Intel and presented at ISC 2025; a QAOA-based solution to the flight-gate assignment problem, developed in industry collaboration with Atos-Eviden; and a hardware-aware Variational Quantum Eigensolver (VQE).The talk concludes with honest lessons from implementing these algorithms on real platforms, the theory-hardware gap, and why hybrid classical-quantum workflows remain the practical frontier. Attendees will leave with a grounded understanding of where quantum advantage is being engineered today, and what it actually takes to get there

DOI
10.47363/jpma/mpf2026/2026(4)4

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The commercial and scientific momentum behind quantum computing is accelerating rapidly, yet a critical gap remains between theoretical promise and practical implementation. This talk bridges that gap through some of the hands-on projects spanning quantum simulation and combinatorial optimization, implemented on real quantum software frameworks including Intel Quantum SDK, Eviden myQLM, PennyLane, and Qiskit.We begin by motivating the two most tractable near-term application domains - simulation and optimization, through current industry trends, before examining concrete implementations: a GAN-accelerated surrogate simulator for neutrino interactions in the INO-ICAL particle physics detector; a quantum-accelerated Quantum Monte Carlo workflow for correlated electron systems, developed in collaboration with Intel and presented at ISC 2025; a QAOA-based solution to the flight-gate assignment problem, developed in industry collaboration with Atos-Eviden; and a hardware-aware Variational Quantum Eigensolver (VQE).The talk concludes with honest lessons from implementing these algorithms on real platforms, the theory-hardware gap, and why hybrid classical-quantum workflows remain the practical frontier. Attendees will leave with a grounded understanding of where quantum advantage is being engineered today, and what it actually takes to get there
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Quantum computing has transitioned from a theoretical curiosity to an emerging technological paradigm with demonstrable computational advantages in specific problem domains. This paper presents a comprehensive review of current advances in quantum computing hardware, software, and near-term applications within the Noisy Intermediate-Scale Quantum (NISQ) era. We examine the architectural evolution of leading quantum platforms, including superconducting, trapped-ion, and photonic systems, analyzing their qubit counts, gate fidelities, and coherence times. The paper evaluates key quantum algorithms Shor's factoring algorithm [1], Grover's search algorithm [2], the Variational Quantum Eigensolver (VQE) [3], and the Quantum Approximate Optimization Algorithm (QAOA) [4] in the context of their practical applicability to real-world problems. We further discuss the milestone of quantum computational advantage demonstrated by Google's Sycamore processor [5] and IBM's ambitious hardware roadmap toward fault-tolerant quantum computing [6]. Our analysis reveals that while universal fault-tolerant quantum computing remains a long-term objective, NISQ-era devices are already yielding valuable results in quantum chemistry simulation, combinatorial optimization, and quantum machine learning. We conclude by identifying the critical challenges—error correction, scalability, and algorithm design that must be addressed to realize the full potential of quantum computing.
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