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… 

Figures from this paper

Fast and robust quantum state tomography from few basis measurements
TLDR
This work presents and analyzes an online tomography algorithm that is the first to give optimal performance in terms of rank and dimension for state copies, measurement settings and memory at the cost of a worse dependence on accuracy.
Robust and Efficient High-Dimensional Quantum State Tomography.
TLDR
This work shows that self-guided tomography is a practical, efficient, and robust technique of measuring higher-dimensional quantum states, and demonstrates robustness against experimental sources of noise, both statistical and environmental.
Proof-of-principle experimental demonstration of quantum gate verification
To employ a quantum device, the performance of the quantum gates in the device needs to be evaluated first. Since the dimensionality of a quantum gate grows exponentially with the number of qubits,
Estimation of pure quantum states in high dimension at the limit of quantum accuracy through complex optimization and statistical inference
TLDR
An adaptive tomographic method is presented and it is shown that, after a few iterations, it is asymptotically approaching the fundamental Gill–Massar lower bound for the estimation accuracy of pure quantum states in high dimension.
Complete Quantum-State Tomography with a Local Random Field.
TLDR
It is shown that, if the system can be fully controlled by driving a single qubit, then utilizing a local random pulse is almost always sufficient for complete quantum-state tomography.
Process Tomography on a 7-Qubit Quantum Processor via Tensor Network Contraction Path Finding
Quantum process tomography (QPT), where a quantum channel is reconstructed through the analysis of repeated quantum measurements, is an important tool for validating the operation of a quantum
Multi-channel quantum parameter estimation
The aim of quantum metrology is to exploit quantum effects to improve the precision of parameter estimation beyond its classical limit. In this paper, we investigate the quantum parameter estimation
Neural-Network Heuristics for Adaptive Bayesian Quantum Estimation
TLDR
It is shown that neural networks can be trained to become fast and strong experiment-design heuristics using a combination of an evolutionary strategy and reinforcement learning and are shown to outperform establishedHeuristics for the technologically important example of frequency estimation of a qubit that suffers from dephasing.
Adaptive Quantum Process Tomography via Linear Regression Estimation
TLDR
Numerical results show that the proposed adaptive process tomography protocol can achieve an improved level of estimation performance.
Verification of complementarity relations between quantum steering criteria using an optical system
The ability that one system immediately affects another one by using local measurements is regarded as quantum steering, which can be detected by various steering criteria. Recently, Mondal et al.
...
...

References

SHOWING 1-10 OF 31 REFERENCES
Quantum Process Tomography: Resource Analysis of Different Strategies
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.
TLDR
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)
TLDR
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
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
TLDR
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.
TLDR
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.
TLDR
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
TLDR
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.
  • C. Ferrie
  • Mathematics
    Physical review letters
  • 2014
TLDR
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.
TLDR
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.
...
...