Dynamic state reconstruction of quantum systems subject to pure decoherence
arXiv:2001.08167 · doi:10.1007/s10773-020-04625-8
Abstract
The article introduces efficient quantum state tomography schemes for qutrits and entangled qubits subject to pure decoherence. We implement the dynamic state reconstruction method for open systems sent through phase-damping channels which was proposed in: Open Syst. Inf. Dyn. 23, 1650019 (2016). In the current article we prove that two distinct observables measured at four different time instants suffice to reconstruct the initial density matrix of a qutrit with evolution given by a phase-damping channel. Furthermore, we generalize the approach in order to determine the optimal criteria for quantum tomography of entangled qubits. Finally, we prove two universal theorems concerning the minimal number of distinct observables required for quantum tomography of qudits. We believe that dynamic state reconstruction schemes bring significant advancement and novelty to quantum tomography since they allow to reduce the number of distinct measurements required to solve the problem, which is important from the experimental point of view.
References in corpus (21)
- Mixed State Entanglement and Quantum Error Correction
- On the Measurement of Qubits
- Quantum state tomography via compressed sensing
- The Bloch Vector for N-Level Systems
- Bloch vectors for qudits
- Efficient measurement of quantum dynamics via compressive sensing
- Quantum Tomography
- Triggered qutrits for Quantum Communication protocols
- Adaptive Bayesian Quantum Tomography
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Spectral density matrix of a single photon measured
- Quorum of observables for universal quantum estimation
- Hadamard Products of Product Operators and the Design of Gradient-Diffusion Experiments for Simulating Decoherence by NMR Spectroscopy
- Characterization of Decoherence from an Environmental Perspective
- Guaranteed recovery of quantum processes from few measurements
- Tomography of time-bin quantum states using time-resolved detection
- Density matrix of a single photon produced in parametric down conversion derived
- Applications of the Stroboscopic Tomography to Selected 2-Level Decoherence Models
- Optimal evolution models for quantum tomography
- Dynamic Quantum Tomography Model for Phase-Damping Channels
- Minimal Number of Observables for Quantum Tomography of Systems with Evolution Given by Double Commutators