About This Program
A mathematically rigorous, laboratory-centered program for aspiring quantum software engineers, algorithm researchers and quantum application analysts. Learners progress from Python, linear algebra and quantum-information principles to circuit construction, Qiskit programming, canonical algorithms, hybrid variational methods and experiments on simulators and cloud quantum processors. Hardware constraints, noise, transpilation, error mitigation, error correction and fault-tolerant resource estimation are treated as essential engineering subjects. Every proposed quantum application must be compared with a credible classical baseline, measured under explicit assumptions and communicated without unsupported advantage claims. The capstone requires a reproducible quantum-computing study and oral technical defense.
What You'll Get
20+ Mathematics, Circuit and Quantum-Hardware Laboratories
Qiskit, OpenQASM, Simulators and Cloud QPU Execution
Quantum Algorithms and Hybrid Quantum-Classical Methods
Noise, Error Mitigation, Error Correction and Resource Estimation
Faculty-Reviewed Reproducible Quantum Capstone
Program Curriculum
1Scientific Computing & Python Foundations2 Weeks
Key Topics:
Python Functions, Modules, Types and Virtual Environments
NumPy Arrays, Vectorized Computation and Numerical Precision
Scientific Visualization and Experimental Notebooks
Git, Reproducibility, Dependency Management and Documentation
Unit Testing, Assertions and Numerical Validation
Classical Algorithms, Runtime and Memory Complexity
2Mathematics for Quantum Information4 Weeks
Key Topics:
Complex Numbers, Inner Products and Vector Spaces
Matrices, Linear Operators and Unitary Transformations
Eigenvalues, Eigenvectors and Spectral Decomposition
Kronecker Products, Tensor Products and Composite Spaces
Probability, Conditional Probability and Statistical Estimation
Numerical Methods, Optimization and Mathematical Proof Practice
3Quantum Mechanics & Quantum Information Foundations3 Weeks
Key Topics:
State Vectors, Dirac Notation and the Bloch Sphere
Superposition, Phase, Interference and Measurement
Composite Systems, Entanglement and Bell Correlations
Density Matrices, Mixed States and Partial Traces
No-Cloning, Uncertainty and Information Constraints
Quantum Channels, State Fidelity and Information Measures
4Quantum Circuits, Gates & Protocols4 Weeks
Key Topics:
Single-Qubit Gates, Rotations and Universal Gate Sets
Controlled Gates, Multi-Qubit Operations and Circuit Identities
Reversible Computation, Ancilla Qubits and Uncomputation
Circuit Interference, Phase Kickback and Oracle Construction
Bell States, Superdense Coding and Quantum Teleportation
Measurements, Mid-Circuit Control and Dynamic Circuits
5Quantum Programming with Qiskit & OpenQASM3 Weeks
Key Topics:
Qiskit Environment, QuantumCircuit and Operator Workflows
Statevector, Shot-Based and Noise-Aware Simulation
Sampler, Estimator and Observable-Based Computation
Cloud Backends, Job Submission and Result Management
OpenQASM, Circuit Serialization and Interoperability
Quantum Program Testing, Versioning and Reproducible Experiments
6Core Quantum Algorithms & Complexity3 Weeks
Key Topics:
Deutsch-Jozsa and Bernstein-Vazirani Algorithms
Grover Search, Amplitude Amplification and Oracle Cost
Quantum Fourier Transform and Phase Estimation
Shor Factoring and the Structure of Quantum Speedups
Hamiltonian Simulation and Quantum-Walk Foundations
BQP, Query Complexity, Resource Counts and Classical Baselines
7Variational & Hybrid Quantum-Classical Algorithms3 Weeks
Key Topics:
Parameterized Quantum Circuits and Ansatz Design
Expectation Values, Gradients and Classical Optimizers
Variational Quantum Eigensolver and Chemistry Workflows
Quantum Approximate Optimization Algorithm
Quantum Kernels and Variational Classifiers
Trainability, Barren Plateaus, Reproducibility and Benchmarking
8Quantum Hardware, Compilation & Execution3 Weeks
Key Topics:
Superconducting, Trapped-Ion, Neutral-Atom and Photonic Systems
Control Operations, Connectivity, Calibration and Readout
Decoherence, Gate Error, Crosstalk and Hardware Noise Models
Transpilation, Qubit Mapping, Routing and Gate Synthesis
Scheduling, Dynamical Decoupling and Circuit Optimization
Backend Selection, Queueing, Batching and Performance Metrics
9Error Mitigation, Correction & Fault Tolerance3 Weeks
Key Topics:
Bit-Flip, Phase-Flip, Depolarizing and Readout Errors
Noise Characterization, Error Suppression and Readout Mitigation
Zero-Noise Extrapolation and Probabilistic Error Cancellation
Repetition, Stabilizer and Surface-Code Foundations
Logical Qubits, Thresholds, Logical Gates and Fault Tolerance
Physical-Qubit, Runtime, Error-Budget and Resource Estimation
10Quantum Applications & Evidence-Based Benchmarking3 Weeks
Key Topics:
Electronic Structure and Quantum Chemistry Applications
Combinatorial Optimization and Operations-Research Mapping
Quantum Machine Learning Claims and Evaluation
Finance, Risk and Monte Carlo Application Patterns
Scientific Simulation, Search and Sampling Use Cases
Problem Selection, Classical Competition and Advantage Criteria
11Quantum Communication, Security & Readiness2 Weeks
Key Topics:
Quantum Key Distribution and Eavesdropping Detection
Entanglement Swapping, Repeaters and Quantum Networks
Quantum Randomness and Security Assumptions
Quantum Cryptography versus Post-Quantum Cryptography
Cryptographic Migration and Quantum-Risk Assessment
Responsible Innovation, Dual Use and Technology Readiness
12Quantum Computing Capstone & Career Readiness3 Weeks
Key Topics:
Research Question, Literature Review and Problem Formulation
Classical Baseline, Complexity and Success Criteria
Quantum Algorithm, Circuit and Experiment Design
Simulation, Hardware Execution and Noise Analysis
Validation, Statistical Analysis and Resource Estimate
Faculty Code Review, Reproducibility Audit and Oral Defense
Technical Portfolio, Research Communication and Role Interviews
Course Fee
₹1,10,000/ 9 Months
Limited seats available for next batch.