# Experimental realization of self-guided quantum process tomography

@article{Hou2020ExperimentalRO, title={Experimental realization of self-guided quantum process tomography}, author={Zhibo Hou and Jun-Feng Tang and Christopher Ferrie and Guoyong Xiang and Chuan-Feng Li and Guangcan Guo}, journal={Physical Review A}, year={2020} }

Characterization of quantum processes is a preliminary step necessary in the development of quantum technology. The conventional method uses standard quantum process tomography, which requires $d^2$ input states and $d^4$ quantum measurements for a $d$-dimensional Hilbert space. These experimental requirements are compounded by the complexity of processing the collected data, which can take several orders of magnitude longer than the experiment itself. In this paper we propose an alternative…

## 18 Citations

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Numerical results show that the proposed adaptive process tomography protocol can achieve an improved level of estimation performance.

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## References

SHOWING 1-10 OF 31 REFERENCES

Quantum Process Tomography: Resource Analysis of Different Strategies

- Physics
- 2008

Characterization of quantum dynamics is a fundamental problem in quantum physics and quantuminformation science. Several methods are known which achieve this goal, namely standard quantum-process…

Practical characterization of quantum devices without tomography.

- PhysicsPhysical review letters
- 2011

It is demonstrated that fidelity can be estimated from a number of simple experiments that is independent of the system size, removing an important roadblock for the experimental study of larger quantum information processing units.

Quantum Tomography Protocols with Positivity are Compressed Sensing Protocols (Open Access)

- Physics
- 2015

It is shown that compressed sensing tomography of quantum systems is essentially guaranteed by a special property of quantum mechanics itself---that the mathematical objects that describe the system in quantum mechanics are matrices with nonnegative eigenvalues, which implies that the information obtained through compressed sensing methods exhibits a new sense of "informational completeness".

Experimental adaptive process tomography

- Physics
- 2017

Adaptive measurements were recently shown to significantly improve the performance of quantum state tomography. Utilizing information about the system for the on-line choice of optimal measurements…

Full reconstruction of a 14-qubit state within four hours

- Computer ScienceNew Journal of Physics
- 2016

The computational capability of FQST is pushed forward to reconstruct a 14-qubit state with a run time of only 3.35 hours using the linear regression estimation (LRE) algorithm, even when informationally overcomplete Pauli measurements are employed.

Experimental quantum state tomography via compressed sampling.

- PhysicsPhysical review letters
- 2012

The results show that much fewer measurements than the standard tomography are sufficient to obtain high fidelity, and the method of maximizing likelihood is more accurate and noise robust than the original reconstruction method of compressed sampling.

Experimental Demonstration of Self-Guided Quantum Tomography.

- PhysicsPhysical review letters
- 2016

Self-guided quantum tomography performed on polarization photonic qubits is experimentally demonstrated, demonstrating robustness against statistical noise and measurement errors on single-qubit and entangled two-qu bit states.

Deterministic realization of collective measurements via photonic quantum walks

- PhysicsNature Communications
- 2018

A general recipe for performing deterministic collective measurements on two identically prepared qubits based on quantum walks is introduced, which offers an effective recipe for beating the precision limit of local measurements in quantum state tomography and metrology.

Self-guided quantum tomography.

- MathematicsPhysical review letters
- 2014

This work demonstrates through simulation on many qubits that Self-guided quantum tomography is a more efficient and robust alternative to the usual paradigm of taking a large amount of informationally complete data and solving the inverse problem of postprocessed state estimation.

Quantum state tomography via compressed sensing.

- PhysicsPhysical review letters
- 2010

These methods are specialized for quantum states that are fairly pure, and they offer a significant performance improvement on large quantum systems, and are able to reconstruct an unknown density matrix of dimension d and rank r using O(rdlog²d) measurement settings, compared to standard methods that require d² settings.