Shubham Gautam ichbingautam

Shubham Gautam

AI Researcher • Systems Architect • Quantum Information Theorist

(gdb) p universe->state
$1 = |Ψ⟩ = α|0⟩ + β|1⟩ (Superposition: High-Performance Distributed Systems & Deep Learning)

🔬 About Me

I explore the intersection of fundamental physics, quantum mechanics, deep learning, and low-level systems engineering. My work spans from probing cosmic structure and quantum information loss in black holes to engineering microsecond-latency distributed databases and scalable AI models.

🧠 AI & Deep Learning Research: Neural operators (FNOs), quantum neural networks, transformer memory compression, and self-supervised physics-informed neural networks (PINNs).
⚡ Systems & Distributed Infrastructure: High-performance LSM-tree storage engines, Raft consensus protocols, eBPF network tracing, and lock-free concurrent data structures in Rust, C++, and Go.
🌌 Cosmology & Astrophysics: Modeling cosmic structure formation, dark energy equations of state (w(z)), and inflationary perturbations.
⚛️ Quantum Mechanics & Computation: Simulating open quantum systems, NISQ circuit optimization, and quantum error correction (QEC).

📐 Mathematical Foundations

$$i\hbar \frac{\partial}{\partial t} |\Psi(t)\rangle = \hat{H} |\Psi(t)\rangle \quad \Big\vert \quad R_{\mu\nu} - \frac{1}{2}R , g_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}$$

$$\mathcal{L}_{\text{AI}} = \mathbb{E}_{\mathbf{x} \sim p_{\text{data}}} \left[ |\mathbf{x} - \hat{\mathbf{x}}_{\theta}|^2 \right] + \lambda , \text{Tr}\left(\rho \log \rho\right)$$

🛠️ Technological Arsenal

Languages & Core Systems

AI, Quantum & Scientific Computing

Infrastructure & Stack Overview

🔭 Featured Research & Engineering Projects

├── 🌌 quinedb/                # High-throughput LSM-Tree Storage Engine (Bloom Filters, WAL, SSTables)
├── ⚡ caminus/                 # Embedded Distributed Key-Value Store with LRU Block Caching in Rust
├── 🌐 vortex-proxy/           # Microsecond-latency TLS SNI Reverse Proxy & Circuit Breaker Engine
├── 🌊 streaming-service/      # Stream Event Processor with Backoff DLQ Retry & Prometheus Metrics
└── 📊 chronos/                # Distributed DAG Engine with Auto-Eviction & Dynamic Task Failover

🤟 LeetCode & Competitive Progress

📊 GitHub Analytics

📫 Connect with Me

🌐 Portfolio / GitHub: github.com/ichbingautam
💼 LinkedIn: Shubham Gautam

_{"The most incomprehensible thing about the universe is that it is comprehensible." — Albert Einstein}

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