Research at the intersection of high energy physics and deployable quantum software. My work focuses on the practical application of topological data analysis, post-quantum cryptography, and quantum algorithms to real-world security and optimization challenges.
Built an interactive toolkit for quantum low-density parity-check (qLDPC) codes, covering visualization, simulation, and circuit construction for fault-tolerant quantum error correction.
- Focus: Real-time quantum LDPC simulator with belief propagation decoding and syndrome extraction.
A modular framework for simulating consensus networks. It utilizes post-quantum topologically protected algorithms to generate resilient cryptographic proofs.
- Focus: Blockchain security, post-quantum cryptography, and scalable consensus protocols.
Applying topological quantum field theory concepts to model and optimize information flow in quantum systems.
- Focus: Improving generalization in deep learning through global and topological learning instead of black box evolution.
- Quantum Cryptography: Developing innovative approaches in secure and scalable protocols at BTQ. This work leverages advanced techniques in combinatorics and topological data analysis to address challenges in cryptographic networks and random number generation.
- Many-Body Systems and Thermalization: Systematic verification of the eigenstate thermalization hypothesis across integrable and non-integrable models. We investigate thermalization behavior through exact diagonalization, level spacing statistics, and scaling analysis of thermalization times with Hilbert space dimension.
- LinkedIn: in/jeffrey-morais
- Website: jeffreymorais.netlify.app
- Stack: Python, C++, Mathematica, Qiskit, PennyLane.
