In this study, we present a new procedure for quantum state reconstruction of qudit quantum state based on unambiguous state discrimination (USD) measurement. In our recent paper (Karimi et al., 2022), we considered the reconstruction of a single-qubit state via USD measurement. In this paper, we extend this method to the reconstruction of the qudit quantum state.

Results in PhysicsJun 20, 20234 citations

Quantum Information Processing

A minimal set of measurements for qudit-state tomography based on unambiguous discrimination

Donghoon Ha, Younghun Kwon

Published Jul 27, 2018• 9 citations

Publisher

DOI: 10.1007/s11128-018-1997-4

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We study the determination of an unknown mixed state of a

d

-dimensional quantum system by means of unambiguous state discrimination. We show that optimal and nonoptimal unambiguous state discrimination can be used to reconstruct unknown states of a qubit. This result is extended to the case of a qudit by a sequence of reconstructions in two-dimensional subspaces. The total number of projections scales approximately as

2{d}^{2}

for

d

large; this is twice as much as in the case of tomography based on mutually unbiased bases or symmetric informationally complete positive-operator-valued measures, and less than the

{d}^{3}

projections required by standard tomography.