High-accuracy adaptive quantum tomography for high-dimensional quantum systems

• URL: http://arxiv.org/abs/2009.04791v1
• Date: Thu, 10 Sep 2020 11:46:51 GMT
• Title: High-accuracy adaptive quantum tomography for high-dimensional quantum systems
• Authors: L. Pereira, D. Mart\'inez, G. Ca\~nas, E. S. G\'omez, S. P. Walborn, G. Lima and A. Delgado
• Abstract summary: We introduce an adaptive tomographic method that is characterized by a precision that is better than half that of the Gill-Massar bound for any finite dimension. We demonstrate the high-accuracy of our method by estimating the state of 10-dimensional quantum systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The accuracy of estimating $d$-dimensional quantum states is limited by the Gill-Massar bound. It can be saturated in the qubit ($d=2$) scenario using adaptive standard quantum tomography. In higher dimensions, however, this is not the case and the accuracy achievable with adaptive quantum tomography quickly deteriorates with increasing $d$. Moreover, it is not known whether or not the Gill-Massar bound can be reached for an arbitrary $d$. To overcome this limitation, we introduce an adaptive tomographic method that is characterized by a precision that is better than half that of the Gill-Massar bound for any finite dimension. This provides a new achievable accuracy limit for quantum state estimation. We demonstrate the high-accuracy of our method by estimating the state of 10-dimensional quantum systems. With the advent of new technologies capable of high-dimensional quantum information processing, our results become critically relevant as state reconstruction is an essential tool for certifying the proper operation of quantum devices.

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