Optimal quantum-state tomography with known parameters
arXiv:1511.06666 · doi:10.1088/1751-8113/45/8/085306
Abstract
It is a well-known fact that the optimal POVM for quantum state tomography is the symmetric, informationally complete, positive operator valued measure (SIC-POVM). We investigate the same problem only in the case when there are some a priori information about the state, specifically when some parameters are known. In this paper we mainly focus on solving a 3-dimensional optimization problem, which gives us a non-trivial example for the so-called conditional SIC- POVMs, a straightforward generalization of the concept of SIC-POVMs. We also present other special cases to show further applications of the proposed numerical methods and to illustrate the complexity of this topic.
15 pages, 4 figures
References in corpus (4)
Cited by in corpus (12)
- The SIC Question: History and State of Play
- Causal Compatibility Inequalities Admitting Quantum Violations in the Triangle Structure
- Experimentally feasible semi-device-independent certification of outcome POVMs
- Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer
- Quantum state tomography with informationally complete POVMs generated in the time domain
- Random positive operator valued measures
- Quantum State Tomography with Conditional Generative Adversarial Networks
- Classification and reconstruction of optical quantum states with deep neural networks
- Hamiltonian tomography by the quantum quench protocol with random noise
- Implementation of discrete positive operator valued measures on linear optical systems using cosine-sine decomposition
- Implementing positive-operator-valued-measurement elements in photonic circuits for performing minimum quantum state tomography of path qudits
- Adaptive tomography of qubits: Purity versus statistical fluctuations