IQC Math and CS seminar featuring Chi-Kwong Li

Efficient Circuit-Based Quantum State Tomography via Sparse Entry Optimization

by Chi-Kwong Li

We propose an efficient circuit-based quantum state tomography (QST) scheme to reconstruct n-qubit states with k nonzero entries using measurements of |ψ⟩ and U₁|ψ⟩, …, U₂ₘ|ψ⟩, where m ≤ k. Each Uₙ involves CNOT gates followed by a single-qubit gate, either Hadamard H or HD, where D = diag(1, i), targeting a specific qubit. We provide an upper limit on the number of CNOT gates based on the nonzero entries' positions in |ψ⟩. This approach, applied to both state and process tomography, was tested using the Qiskit simulator. Joint work with Kevin Yipu Wu and Zherui Zhang, College of William & Mary.

Location

• QNC 1201

• Online on Zoom

  • Meeting ID: 997 1404 6907

  • Passcode: 798889