Research Preparation
My research interests lie in Quantum Error Correction, Quantum Information Theory, and Quantum Computing, with a primary focus on the theoretical foundations of reliable and fault-tolerant quantum computation.
I am particularly interested in understanding how robust quantum error-correcting codes can bridge the gap between theoretical fault-tolerance thresholds and practical large-scale quantum systems by addressing hardware-specific noise and decoherence.
More broadly, I am also interested in quantum algorithms and quantum cryptography, especially in how information-theoretic principles shape computation, security, and the scalability of quantum technologies.
In preparation for doctoral research, I have undertaken self-directed study in quantum mechanics and quantum computation, including solving problem sets, reading research papers, and constructing quantum circuits and algorithms; these materials are compiled and shared here as part of a systematic effort to build foundational knowledge and contribute useful resources to the broader community.
This independent work has been central to developing the mathematical foundation and technical fluency necessary for research in quantum information science.
Solutions to problem sets Link to heading
- The Theoretical Minimum - Classical Mechanics
- The Theoretical Minimum - Quantum Mechanics
- Introduction to Classical and Quantum Computing
Quantum Algorithms Link to heading
- Deutsch’s Algorithm
- Deutsch-Jozsa Algorithm
- Berstein-Vazirani Algorithm
- Simon’s Algorithm
- Grover’s Algorithm
- Shor’s Algorithm
Quantum Circuit Implementations (Quirk) Link to heading
- Quantum Circuit for Classical Adder
- Quantum Ripple Carry Adder
- Quantum Ripple Carry Subtractor
- Draper’s Adder
- Partial bit flip error correction
- Principle of Deferred Measurement
- Partial Phase Flip
- Shor’s Code (Bit Flip)
- Shor’s Code (Phase Flip)
- Grover’s Algorithm
- Quantum Fourier Transform
- Inverse Quantum Fourier Transform
- Phase / Eigenvalue Estimation