Selective and Efficient Quantum Process Tomography in Arbitrary Finite Dimension

Abstract

The characterization of quantum processes is a key tool in quantum information processing tasks for several reasons: on one hand, it allows to acknowledge errors in the implementations of quantum algorithms; on the other, it allows to charcaterize unknown processes occurring in Nature. In previous works [Bendersky, Pastawski and Paz. Phys. Rev. Lett. 100, 190403 (2008) and Phys. Rev. A 80, 032116 (2009)] it was introduced a method to selectively and efficiently measure any given coefficient from the matrix description of a quantum channel. However, this method heavily relies on the construction of maximal sets of mutually unbiased bases (MUBs), which are known to exist only when the dimension of the Hilbert space is the power of a prime number. In this article, we lift the requirement on the dimension by presenting two variations of the method that work on arbitrary finite dimensions: one uses tensor products of maximally sets of MUBs, and the other uses a dimensional cutoff of a higher prime power dimension.

arXiv comment8 pages, 3 figures

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Cited by in corpus (5)

• Implementing efficient selective quantum process tomography of superconducting quantum gates on the IBM quantum processor
• Direct tomography of quantum states and processes via weak measurements of Pauli spin operators on an NMR quantum processor
• Efficient experimental characterization of quantum processes via compressed sensing on an NMR quantum processor
• Experimental characterization of quantum processes: a selective and efficient method in arbitrary finite dimension
• True experimental reconstruction of quantum states and processes via convex optimization