DOI: 10.5061/dryad.w6m905qzb
title: Data from: Unambiguous discrimination of general quantum operations

description: The discrimination of quantum operations has long been an intriguing
 challenge, with theoretical research significantly advancing our
 understanding of the quantum features in discriminating quantum objects.
 This challenge is closely related to the discrimination of quantum states,
 and proof-of-principle demonstrations of the latter have already been
 realized using optical photons. However, the experimental demonstration of
 discriminating general quantum operations, including both unitary and
 non-unitary operations, has remained elusive. In general quantum systems,
 especially those with high dimensions, the preparation of arbitrary
 quantum states and the implementation of arbitrary quantum operations and
 generalized measurements are non-trivial tasks. Here, for the first time,
 we experimentally demonstrate the optimal unambiguous discrimination of up
 to 6 displacement operators and the unambiguous discrimination of
 non-unitary quantum operations. Our results demonstrate powerful tools for
 experimental research in quantum information processing and are expected
 to stimulate a wide range of valuable applications in the field of quantum
 sensing.
description: # Unambiguous discrimination of general quantum operations
 [https://doi.org/10.5061/dryad.w6m905qzb](https://doi.org/10.5061/dryad.w6m905qzb) ## Description of the data and file structure The Source data for Figures 2 and 3 in "Unambiguous discrimination of general quantum operations". ### Files and variables #### File: UD\_SourceData\_Fig3.xlsx **Description:** This file contains the source data for Figure 3 in "Unambiguous discrimination of general quantum operations" and can be opened in Excel.  The sheet "Fig3b_data" includes experimental and ideal mean value of conlcusive, inconclusive, erroneous probabilities for UD of 3-dimensional and 4-dimensional block-dephasing operations, along with the corresponding error bars for each experimental result. The sheet "Fig3d_data" includes experimental mean value of conlcusive, inconclusive, erroneous probabilities for UD of block-Pauli operations, along with the corresponding error bars for each experimental result. The sheet "Fig3e_data" and "Fig3f_data"  contain the source data of conditional probabilities of the POVM measurements, conditioned on the chosen block-dephasing operators for 3-dimensional and 4-dimensional cases, respcetively. These sheets include the mean values, error bars of experimental results, as well as ideal conditional probabilities. The sheet "Fig3g_data", "Fig3h_data", and "Fig3i_data" contain source data of conditional probabilities of the POVM measurements conditioned on the chosen block-Pauli operators for eta=0.1, 0.3 and 0.5, respcetively. These sheets include the mean values, error bars of experimental results, as well as ideal conditional probabilities. #### File: UD\_SourceData\_Fig2.xlsx **Description:** This file is the source data for Figure 2 in "Unambiguous discrimination of general quantum operations" and can be opened in Excel.  The sheet "Fig2a_data" includes the conclusive and erroneous probabilities for unambiguously discriminating four-fold displacement operators as functions of the displacement amplitude. Column A lists the alpha values for both experimental and simulation results of the four-fold displacement. Column B provides the mean value of the experimental conclusive probabilities, while Column C lists the corresponding error bars. Column D contains the simulated conclusive probabilities. Column E provides the mean values of the experimental erroneous probabilities, with Column F listing the error bars. Column G contains the simulated erroneous probabilities. Column H lists alpha values for the theoretical conclusive probabilities, and Column I provides the theoretical conclusive probabilities. The sheet "Fig2b_data" contains the conclusive and erroneous probabilities for unambiguously discriminating six-fold displacement operators as functions of the displacement amplitude. Column A lists the alpha values for both experimental and simulation results of the six-fold displacement. Column B provides the mean values of the experimental conclusive probabilities, with Column C listing the corresponding error bars. Column D contains the simulated conclusive probabilities. Column E provides the mean values of the experimental erroneous probabilities, with Column F listing the error bars. Column G contains the simulated erroneous probabilities. Column H lists alpha values for the theoretical conclusive probabilities, and Column I provides the theoretical conclusive probabilities. The sheets "Fig2c_data" and "Fig2d_data" contain the source data for the conditional probabilities of the POVM measurements, conditioned on the selected displacement operators in four-fold for displacement amplitudes α=1.6 and α=2.0, respectively. These sheets include mean values, error bars of experimental results, and ideal conditional probabilities. The sheets "Fig2e_data" and "Fig2f_data" provide the source data for the conditional probabilities of the POVM measurements, conditioned on the selected displacement operators in six-fold for displacement amplitudes α=1.6 and α=2.0, respectively. These sheets include mean values, error bars of experimental results, and ideal conditional probabilities.