Estimating the precision for quantum process tomography
arXiv:1911.00277 · doi:10.1117/1.OE.59.6.061614
Abstract
Quantum tomography is a widely applicable tool for complete characterization of quantum states and processes. In the present work, we develop a method for precision-guaranteed quantum process tomography. With the use of the Choi-Jamiolkowski isomorphism, we generalize the recently suggested extended norm minimization estimator for the case of quantum processes. Our estimator is based on the Hilbert-Schmidt distance for quantum processes. Specifically, we discuss the application of our method for characterizing quantum gates of a superconducting quantum processor in the framework of the IBM Q Experience.
6 pages, 3 figures, 2 tables
References in corpus (22)
- Continuous-variable optical quantum state tomography
- Randomized Benchmarking of Quantum Gates
- Prescription for experimental determination of the dynamics of a quantum black box
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- Quantum process tomography of a controlled-NOT gate
- Direct Fidelity Estimation from Few Pauli Measurements
- Quantum Process Tomography: Resource Analysis of Different Strategies
- Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
- Practical characterization of quantum devices without tomography
- Tomography of Quantum Operations
- Reliable Quantum State Tomography
- Complete Characterization of Quantum-Optical Processes
- Quantum process tomography via completely positive and trace-preserving projection
- Quantum process tomography with coherent states
- Practical, Reliable Error Bars in Quantum Tomography
- Experimental quantum homodyne tomography via machine learning
- Quantum tomography as a tool for the characterization of optical devices
- Precision-guaranteed quantum tomography
- Self-calibrating Quantum State Tomography
- Confidence Polytopes in Quantum State Tomography
- Tomography of a multimode quantum black box
- High-fidelity quantum tomography with imperfect measurements
Cited by in corpus (5)
- Wishart and random density matrices: Analytical results for the mean-square Hilbert-Schmidt distance
- Random density matrices: Analytical results for mean root fidelity and mean square Bures distance
- Random density matrices: Analytical results for mean fidelity and variance of squared Bures distance
- Confidence polytopes for quantum process tomography
- Reliable confidence regions for quantum tomography using distribution moments