Experimental realization of self-guided quantum process tomography

Abstract

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 self-guided algorithm for quantum process tomography, tuned for the task of finding an unknown unitary process. Our algorithm is a fully automated and adaptive process characterization technique. The advantages of our algorithm are: inherent robustness to both statistical and technical noise; requires less space and time since there is no post-processing of the data; requires only a single input state and measurement; and, provides on-the-fly diagnostic information while the experiment is running. Numerical results show our algorithm achieves the same $1/n$ scaling as standard quantum process tomography when $n$ uses of the unknown process are used. We also present experimental results wherein the algorithm, and its advantages, are realized for the task of finding an element of $SU(2)$.

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• Variational quantum process tomography
• A dimensionality and purity measure for high-dimensional entangled states
• Complete Quantum-State Tomography with a Local Random Field
• Estimation of pure quantum states in high dimension at the limit of quantum accuracy through complex optimization and statistical inference
• Neural networks for quantum state tomography with constrained measurements
• Efficient Experimental Verification of Quantum Gates with Local Operations
• Robust and efficient algorithms for high-dimensional black-box quantum optimization
• Quantum tomography of Rydberg atom graphs by configurable ancillas
• Proof-of-principle experimental demonstration of quantum gate verification
• Self-guided tomography of time-frequency qudits
• Quantum Tomography and Schwinger's Picture of Quantum Mechanics