Quantum state tomography with informationally complete POVMs generated in the time domain
arXiv:2010.13777 · doi:10.1007/s11128-021-03045-9
Abstract
The article establishes a framework for dynamic generation of informationally complete POVMs in quantum state tomography. Assuming that the evolution of a quantum system is given by a dynamical map in the Kraus representation, one can switch to the Heisenberg picture and define the measurements in the time domain. Consequently, starting with an incomplete set of positive operators, one can obtain sufficient information for quantum state reconstruction by multiple measurements. The framework has been demonstrated on qubits and qutrits. For some types of dynamical maps, it suffices to initially have one measurement operator. The results demonstrate that quantum state tomography is feasible even with limited measurement potential.
References in corpus (36)
- The Quantum Internet
- Photonic quantum technologies
- On the Measurement of Qubits
- Experimental One-Way Quantum Computing
- Optical Quantum Computing
- Quantum state tomography via compressed sensing
- Symmetric Informationally Complete Quantum Measurements
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Unknown Quantum States and Operations, a Bayesian View
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
- Qudit Quantum State Tomography
- Ancilla-assisted quantum process tomography
- Triggered qutrits for Quantum Communication protocols
- Informationally complete measurements and groups representation
- Minimal Informationally Complete Measurements for Pure States
- Inherent polarization entanglement generated from a monolithic semiconductor chip
- Experimental characterization of qutrits using SIC-POVMs
- On Random Unitary Channels
- Quantum state reconstruction via continuous measurement
- Quantum state tomography by continuous measurement and compressed sensing
- Quantum Decoherence of Two Qubits
- A classical appraisal of quantum definitions of non-Markovian dynamics
- Notes on general SIC-POVMs
- Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
- Random unitary maps for quantum state reconstruction
- Quantum tomography via equidistant states
- Quantum-polarization state tomography
- Orthogonality relations in Quantum Tomography
- Tomography of time-bin quantum states using time-resolved detection
- Additivity and Distinguishability of Random Unitary Channels
- Optimal quantum-state tomography with known parameters
- Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
- Applications of the Stroboscopic Tomography to Selected 2-Level Decoherence Models
- Optimal evolution models for quantum tomography
- Dynamic state reconstruction of quantum systems subject to pure decoherence
Cited by in corpus (6)
- Noisy Quantum Kernel Machines
- Quantum tomography of entangled qubits by time-resolved single-photon counting with time-continuous measurements
- Quantum tomography of Rydberg atom graphs by configurable ancillas
- Optimal Single Qubit Tomography: Realization of Locally Optimal Measurements on a Quantum Computer
- Non-Markovianity in Discrete-Time Open Quantum Random Walk on Arbitrary Graphs
- A context-aware gate set tomography characterization of superconducting qubits