Retrieving space-dependent polarization transformations via near-optimal quantum process tomography
arXiv:2210.17288 · doi:10.1364/OE.491518
Abstract
An optical waveplate rotating light polarization can be modeled as a single-qubit unitary operator, whose action can be experimentally determined via quantum process tomography. Standard approaches to tomographic problems rely on the maximum-likelihood estimation, providing the most likely transformation to yield the same outcomes as a set of experimental projective measurements. The performances of this method strongly depend on the number of input measurements and the numerical minimization routine that is adopted. Here we investigate the application of genetic and machine learning approaches to this problem, finding that both allow for accurate reconstructions and fast operations when processing a set of projective measurements very close to the minimal one. We apply these techniques to the case of space-dependent polarization transformations, providing an experimental characterization of the optical action of spin-orbit metasurfaces having patterned birefringence. Our efforts thus expand the toolbox of methodologies for optical process tomography. In particular, we find that the neural network-based scheme provides a significant speed-up, that may be critical in applications requiring a characterization in real-time. We expect these results to lay the groundwork for the optimization of tomographic approaches in more general quantum processes, including non-unitary gates and operations in higher-dimensional Hilbert spaces.
References in corpus (41)
- Quantum computational advantage using photons
- On the Measurement of Qubits
- Electromagnetic Angular Momentum
- Electromagnetic Force and Momentum
- Prescription for experimental determination of the dynamics of a quantum black box
- Distance measures to compare real and ideal quantum processes
- Quantum state estimation
- Quantum process tomography of a controlled-NOT gate
- Experimental reconstruction of the Berry curvature in a topological Bloch band
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Ancilla-assisted quantum process tomography
- Maximum-likelihood estimation of the density matrix
- Quantum Process Tomography of a Universal Entangling Gate Implemented with Josephson Phase Qubits
- Detecting topological invariants in nonunitary discrete-time quantum walks
- Realization of quantum process tomography in NMR
- Measuring topology by dynamics: Chern number from linking number
- Process tomography of ion trap quantum gates
- Bloch state tomography using Wilson lines
- Experimental neural network enhanced quantum tomography
- Complete Characterization of Quantum-Optical Processes
- Towards 'smart lasers': self-optimisation of an ultrafast pulse source using a genetic algorithm
- Photon spin-to-orbital angular momentum conversion via an electrically tunable -plate
- Iterative algorithm for reconstruction of entangled states
- Diagnosis, prescription and prognosis of a Bell-state filter by quantum process tomography
- Direct characterization of linear-optical networks
- Quantum process tomography of two-qubit controlled-Z and controlled-NOT gates using superconducting phase qubits
- Two-dimensional topological quantum walks in the momentum space of structured light
- Experimental quantum process tomography of non trace-preserving maps
- Operator fidelity susceptibility: an indicator of quantum criticality
- Genetic Algorithms for Digital Quantum Simulations
- Genetic algorithm-based control of birefringent filtering for self-tuning, self-pulsing fiber lasers
- Maximum-likelihood estimation prevents unphysical Mueller matrices
- Reconstruction of the spin state
- Ultra-long quantum walks via spin-orbit photonics
- Genetic optimization of quantum annealing
- Tomography of optical polarization rotation induced by a quantum dot-cavity device
- Quantum process tomography of a high-dimensional quantum communication channel
- Quantum process tomography of linear and quadratically nonlinear optical systems
- Accurate polarization preparation and measurement using twisted nematic liquid crystals
- Fidelity Between Unitary Operators and the Generation of Gates Robust Against Off-Resonance Perturbations
- Evolutionary algorithm to design high-cooperativity optical cavities