Quantum Computing and Quantum Software Development
Quantum Operator Decomposition
Lossy: Low-Rank Approximation in Simulation
\(U\) is full-rank, but it may not be necessary to be in simulation, if some eigenvalues are very small, meaning some contributions are insignificant. \[ U \approx AB \\ U \in \mathbb{C}^{2^N \times 2^N} \\ A \in \mathbb{C}^{2^N \times M} \\ B \in \mathbb{C}^{M \times 2^N} \\ M < 2^N \]
Lossless: Broadcast
Computationally, single-qubit and two-qubit quantum gates can be expressed as broadcast tensor operations.
Relevant News
- Nvidia Quantum Day in GTC 2025: For the first time, Nvidia GTC is expected to have an entire day focused on quantum computing. The date is 21st March. Checkout the link to see the interesting sessions.