Semidefinite programming for self-consistent quantum measurement tomography
@inproceedings{Cattaneo2022SemidefinitePF, title={Semidefinite programming for self-consistent quantum measurement tomography}, author={Marco Cattaneo and Elsi-Mari Borrelli and Guillermo Garc'ia-P'erez and Matteo A. C. Rossi and Zolt'an Zimbor'as and Daniel Kioshi Cavalcanti}, year={2022} }
,
One Citation
Reliable Optimization of Arbitrary Functions over Quantum Measurements
- Computer Science, PhysicsEntropy
- 2023
This work proposes reliable algorithms for optimizing arbitrary functions over the space of quantum measurements by combining the so-called Gilbert’s algorithm for convex optimization with certain gradient algorithms.
References
SHOWING 1-10 OF 53 REFERENCES
COMPLETE CHARACTERIZATION OF ARBITRARY QUANTUM MEASUREMENT PROCESSES
- Physics
- 1999
We examine two simple and feasible practical schemes allowing the complete determination of any quantum measuring arrangement. This is illustrated with the example of parity measurement.
Quantum State Tomography as a Bilevel Problem, Utilizing I-Q Plane Data
- Mathematics
- 2021
It is natural to ask how to utilize ac-tual measurements, such as the so-called IQ-plane data obtained in the dispersive readout of transmon qubits, in the estimation of the state of a quantum…
Experimental demonstration of loop state-preparation-and-measurement tomography
- Physics
- 2017
We have demonstrated, using qubits encoded in the polarization of heralded individual photons, that loop state-preparation-and-measurement tomography is capable of detecting correlated errors between…
Self-Consistent Quantum Process Tomography
- Computer Science
- 2013
This work shows that the standard approach of process tomography is grossly inaccurate in the case where the states and measurement operators used to interrogate the system are generated by gates that have some systematic error, a situation all but unavoidable in any practical setting.
Efficient estimation of Pauli observables by derandomization
- MathematicsPhysical review letters
- 2021
An efficient derandomization procedure is proposed that iteratively replaces random single-qubit measurements by fixed Pauli measurements; the resulting deterministic measurement procedure is guaranteed to perform at least as well as the randomized one.
Self-testing quantum states and measurements in the prepare-and-measure scenario
- Computer SciencePhysical Review A
- 2018
Self-testing methods for quantum prepare-and-measure experiments, thus not necessarily relying on entanglement and/or violation of a Bell inequality are developed, assuming an upper bound on the Hilbert space dimension.
Optimal quantum detector tomography via linear regression estimation*
- Mathematics2021 60th IEEE Conference on Decision and Control (CDC)
- 2021
Quantum detector tomography is a fundamental technique for calibrating quantum devices and performing quantum engineering tasks. In this paper, we design the optimal probe states for quantum detector…
Measurements of Quantum Hamiltonians with Locally-Biased Classical Shadows
- PhysicsCommunications in Mathematical Physics
- 2022
Obtaining precise estimates of quantum observables is a crucial step of variational quantum algorithms. We consider the problem of estimating expectation values of quantum Hamiltonians, obtained on…
Robust, self-consistent, closed-form tomography of quantum logic gates on a trapped ion qubit
- Mathematics
- 2013
We introduce and demonstrate experimentally: (1) a framework called "gate set tomography" (GST) for self-consistently characterizing an entire set of quantum logic gates on a black-box quantum…
Self-consistent tomography of the state-measurement Gram matrix
- Mathematics
- 2014
State and measurement tomography make assumptions about the experimental states or measurements. These assumptions are often not justified because state preparation and measurement errors are…