Selective and Efficient Quantum State Tomography and its Application to Quantum Process Tomography

Abstract

We present a method for quantum state tomography that enables the efficient estimation, with fixed precision, of any of the matrix elements of the density matrix of a state, provided that the states from the basis in which the matrix is written can be efficiently prepared in a controlled manner. Furthermore, we show how this algorithm is well suited for quantum process tomography, enabling to perform selective and efficient quantum process tomography.

5 pages, 4 figures

References in corpus (5)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Efficient quantum state tomography
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Symmetrised Characterisation of Noisy Quantum Processes
• Progress toward scalable tomography of quantum maps using twirling-based methods and information hierarchies

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• Objective Compressive Quantum Process Tomography
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• Bosonic randomized benchmarking with passive transformations
• Benchmarking quantum tomography completeness and fidelity with machine learning
• Certification of continuous-variable gates using average channel-fidelity witnesses
• Selective quantum state tomography for continuous-variable systems
• Selective and efficient quantum state tomography for multi-qubit systems