DOI: 10.5061/dryad.j9kd51chh
title: On-demand entanglement of molecules in a reconfigurable optical tweezer array

description: Entanglement is crucial to many quantum applications including quantum
 information processing, quantum simulation, and quantum-enhanced sens-
 ing. Because of their rich internal structure and interactions, molecules
 have been proposed as a promising platform for quantum science.
 Determinis- tic entanglement of individually controlled molecules has
 nevertheless been a long-standing experimental challenge. Here we
 demonstrate on-demand en- tanglement of individually prepared molecules.
 We deterministically create Bell pairs of molecules by using the electric
 dipolar interaction between polar molecules prepared using a
 reconfigurable array of optical tweezer traps. Our results demonstrate the
 key building blocks needed for quantum applications and may advance
 quantum-enhanced fundamental physics tests using trapped molecules.
description: The dataset comprises 1) quantities extracted experimentally from
 binarized molecular fluorescence images 2) numerical simulation results.
 The binarization procedure and the relevant numerical simulation
 procedures are described in the methods and supplementary material. Full
 binarized datasets are available upon request. These binarized datasets do
 not contain additional information than the provided data files.
description: All data is provided as csv files. No proprietary software is
 required. 
description: # Title of Dataset: Data for On-Demand Entanglement of Molecules in a
 Reconfigurable Optical Tweezer Array *** Included are data shown in
 Figures 1-4 of the main text and Figures S1-S4 of the Supplementary
 Materials. The experimental data are obtained from binarized molecular
 fluorescence images. In short, each tweezer in an image is binarized into
 occupied or empty according to whether the camera counts exceed a
 predetermined threshold. Various quantities are obtained from averaging
 the resulting binarized data. Detailed descriptions for these quantities
 are provided in the main text and the supplementary material. ##
 Description of the data and file structure The data is organized as
 follows. Fig 1C: The following files provide digitized camera counts in
 csv format for the experimental images provided in Fig. 1C, from top to
 bottom: Fig1C_img1.csv Fig1C_img2.csv Fig1C_img5.csv Fig 2A:
 Fig2A_BlueCircles.csv provide the x and y coordinates, along with error
 bars, for data shown by Blue Circles in Fig 2A, in csv format. A 1-line
 header is included. Fig 2B: The following files provide digitized camera
 counts in csv format for the experimental images provided in Fig. 2B, from
 top to bottom: Fig2A_array8.csv Fig2A_array10.csv Fig2A_array12.csv
 Fig2A_array14.csv Fig2A_array16.csv Fig2A_array18.csv Fig2A_array20.csv
 Fig2A_array23.csv Fig 3C: Fig3C_BlueCircles.csv provide the x and y
 coordinates, along with error bars, for data shown by Blue Circles in Fig
 3C, in csv format. A 1-line header is included. Fig3C_GreenTriangles.csv
 provide the x and y coordinates, along with error bars, for data shown by
 Green Triangles in Fig 3C, in csv format. A 1-line header is included.
 Fig3C_RedSquares.csv provide the x and y coordinates, along with error
 bars, for data shown by Red Squares in Fig 3C, in csv format. A 1-line
 header is included. Fig 3D: Fig3D_BlueCircles.csv provide the x and y
 coordinates, along with error bars, for data shown by Blue Circles in Fig
 3D, in csv format. A 1-line header is included. Fig 3E:
 Fig3E_BlueCirlces.csv provide the x and y coordinates, along with error
 bars, for data shown by Blue Circles in Fig 3E, in csv format. A 1-line
 header is included. Fig3E_GreenSquares.csv provide the x and y
 coordinates, along with error bars, for data shown by Green Squares in Fig
 3E, in csv format. A 1-line header is included. Fig3E_OrangeHexagons.csv
 provide the x and y coordinates, along with error bars, for data shown by
 Orange Hezagons in Fig 3E, in csv format. A 1-line header is included.
 Fig3E_PurpleTriangles.csv provide the x and y coordinates, along with
 error bars, for data shown by Purple Triangles in Fig 3E, in csv format. A
 1-line header is included. Fig3E_RedPentagons.csv provide the x and y
 coordinates, along with error bars, for data shown by Red Pentagons in Fig
 3E, in csv format. A 1-line header is included. Fig3E_YellowDiamonds.csv
 provide the x and y coordinates, along with error bars, for data shown by
 Yellow Diamonds in Fig 3E, in csv format. A 1-line header is included. Fig
 3F Inset: Fig3F_Inset_Circles.csv provide the x and y coordinates, along
 with error bars, for data shown by Circles in Fig 3F inset, in csv format.
 A 1-line header is included. Fig 3F Main: Fig3F_Main_BlueDashed.csv
 provide the x and y coordinates for the calculation result shown by the
 Blue Dashed Line in Fig 3F, in csv format. A 1-line header is included.
 Fig3F_Main_Circles.csv provide the x and y coordinates, along with error
 bars, for data shown by Circles in Fig 3F, in csv format. A 1-line header
 is included. Fig3F_Main_RedShade.csv provide the x and y coordinates,
 along with error bars, for theoretical prediction band boundaries shown by
 the red shaded region in Fig 3F, in csv format. A 1-line header is
 included. Fig 4A: Fig4A_Lower_Blue.csv provide the heights of the Blue
 histogram bars, along with error bars, in the lower panel of Fig 4A, in
 csv format. A 1-line header is included. Fig4A_Lower_Blue.csv provide the
 heights of the Green histogram bars, along with error bars, in the lower
 panel of Fig 4A, in csv format. A 1-line header is included.
 Fig4A_UpperLeft.csv provide the heights of the histogram bars, along with
 error bars, in the Upper Left panel of Fig 4A, in csv format. A 1-line
 header is included. Fig4A_UpperRight.csv provide the heights of the
 histogram bars, along with error bars, in the Upper Right panel of Fig 4A,
 in csv format. A 1-line header is included. Fig 4B: Fig4B_BlueCircles.csv
 provide the x and y coordinates, along with error bars, for data shown by
 Blue Circles in Fig 4B, in csv format. A 1-line header is included. Fig 4C
 Inset: Fig4C_Inset_BlueCircles.csv provide the x and y coordinates, along
 with error bars, for data shown by Blue Circles in the inset of Fig 4C, in
 csv format. A 1-line header is included. Fig4C_Inset_RedSquares.csv
 provide the x and y coordinates, along with error bars, for data shown by
 Red Squares in the inset of Fig 4C, in csv format. A 1-line header is
 included. Fig 4C Main: Fig4C_Main_BlueCircles.csv provide the x and y
 coordinates, along with error bars, for data shown by Blue Circles in Fig
 4C, in csv format. A 1-line header is included. Fig4C_Main_RedSquares.csv
 provide the x and y coordinates, along with error bars, for data shown by
 Red Squares in Fig 4C, in csv format. A 1-line header is included. Fig
 S1A: FigS1A_BlueCircles.csv provide the x and y coordinates, along with
 error bars, for data shown by Blue Circles in Fig S1A, in csv format. A
 1-line header is included. FigS1A_RedSquares.csv provide the x and y
 coordinates, along with error bars, for data shown by Red Squares in Fig
 S1A, in csv format. A 1-line header is included. Fig S1B:
 FigS1B_BlueCircles.csv provide the x and y coordinates, along with error
 bars, for data shown by Blue Circles in Fig S1B, in csv format. A 1-line
 header is included. FigS1B_RedSquares.csv provide the x and y coordinates,
 along with error bars, for data shown by Red Squares in Fig S1B, in csv
 format. A 1-line header is included. FigS1B_GreenTriangles.csv provide the
 x and y coordinates, along with error bars, for numerical simulation data
 shown by Green Triangles in Fig S1B, in csv format. A 1-line header is
 included. Fig S2A: FigS2A_Circles.csv provide the histogram heights, along
 with error bars, for data shown in Fig S2A, in csv format. A 1-line header
 is included. Fig S2B: FigS2B_Circles.csv provide the histogram heights,
 along with error bars, for data shown in Fig S2B, in csv format. A 1-line
 header is included. Fig S2C: FigS2C_Circles.csv provide the histogram
 heights, along with error bars, for data shown by Circles in Fig S2C, in
 csv format. A 1-line header is included. Fig S3A: FigS3A_BlueCircles.csv
 provide the heights of the Blue histogram bars, along with error bars, in
 Fig S3A, in csv format. A 1-line header is included. FigS3A_RedSquares.csv
 provide the heights of the Red histogram bars, along with error bars, in
 Fig S3A, in csv format. A 1-line header is included. Fig S3B:
 FigS3B_BlueCircles.csv provide the x and y coordinates, along with error
 bars, for data shown by Blue Circles in Fig S3B, in csv format. A 1-line
 header is included. FigS3B_RedSquares.csv provide the x and y coordinates,
 along with error bars, for data shown by Red Squares in Fig S3B,. A 1-line
 header is included. Fig S4A: FigS4A_Left_BlueCircles.csv provide the
 heights of the Blue histogram bars, along with error bars, in the left
 panel Fig S4A, in csv format. A 1-line header is included.
 FigS4A_Left_RedSquares.csv provide the heights of the Red histogram bars,
 along with error bars, in the left panel Fig S4A, in csv format. A 1-line
 header is included. FigS4A_Right_BlueCircles.csv provide the heights of
 the Blue histogram bars, along with error bars, in the right panel Fig
 S4A, in csv format. A 1-line header is included.
 FigS4A_Right_RedSquares.csv provide the heights of the Red histogram bars,
 along with error bars, in the right panel Fig S4A, in csv format. A 1-line
 header is included. Fig S4B: FigS4B_BlueCirlces.csv provide the x and y
 coordinates, along with error bars, for data shown by Blue Circles in Fig
 S4B, in csv format. A 1-line header is included. FigS4B_RedSquares.csv
 provide the x and y coordinates, along with error bars, for data shown by
 Red Squares in Fig S4B, in csv format. A 1-line header is included. Fig
 S4C: FigS4C_PurpleDiamonds.csv provide the heights of the Purple histogram
 bars, along with error bars, in Fig S4C, in csv format. A 1-line header is
 included. FigS4C_RedSquares.csv provide the heights of the Red histogram
 bars, along with error bars, in Fig S4C, in csv format. A 1-line header is
 included. Fig S4D: FigS4D_BlueCircles.csv provide the heights of the Blue
 histogram bars, along with error bars, in Fig S4D, in csv format. A 1-line
 header is included. FigS4D_GreenTriangles.csv provide the heights of the
 Green histogram bars, along with error bars, in Fig S4D, in csv format. A
 1-line header is included. Fig S5A: FigS5A_GreenSquares.csv provide the x
 and y coordinates, along with error bars, for data shown by Green Squares
 in Fig S3A, in csv format. A 1-line header is included.
 FigS5A_BlueDiamonds.csv provide the x and y coordinates, along with error
 bars, for numerical simulation data shown by Blue Diamonds in Fig S3A, in
 csv format. A 1-line header is included. FigS5A_RedCircles.csv provide the
 x and y coordinates, along with error bars, for numerical simulationdata
 shown by Red Circles in Fig S3A, in csv format. A 1-line header is
 included. FigS5A_LighBluePentagons.csv provide the x and y coordinates,
 along with error bars, for numerical simulation data shown by Light Blue
 Pentagons in Fig S3A, in csv format. A 1-line header is included.
 FigS5A_LightRedTriangles.csv provide the x and y coordinates, along with
 error bars, for numerical simulation data shown by Light Red Triangles in
 Fig S3A, in csv format. A 1-line header is included. Fig S5B:
 FigS5B_BlueCircles.csv provide the x and y coordinates, along with error
 bars, for numerical simulation data shown by Blue Circles in Fig S3B, in
 csv format. A 1-line header is included. FigS5B_RedSquares.csv provide the
 x and y coordinates, along with error bars, for numerical simulation data
 shown by Red Squares in Fig S3B, in csv format. A 1-line header is
 included. FigS5B_Green Diamonds.csv provide the x and y coordinates, along
 with error bars, for numerical simulation data shown by Green Diamonds in
 Fig S3B, in csv format. A 1-line header is included.
 FigS5B_BlackTriangles.csv provide the x and y coordinates, along with
 error bars, for numerical simulation data shown by Black Triangles in Fig
 S3B, in csv format. A 1-line header is included. Fig S5C:
 FigS5C_BlueCircles.csv provide the x and y coordinates, along with error
 bars, for numerical simulation data shown by Blue Circles in Fig S3C, in
 csv format. A 1-line header is included. FigS5C_RedSquares.csv provide the
 x and y coordinates, along with error bars, for numerical simulation data
 shown by Red Squares in Fig S3C, in csv format. A 1-line header is
 included. FigS5C_Green Diamonds.csv provide the x and y coordinates, along
 with error bars, for numerical simulation data shown by Green Diamonds in
 Fig S3C, in csv format. A 1-line header is included.
 FigS5C_BlackTriangles.csv provide the x and y coordinates, along with
 error bars, for numerical simulation data shown by Black Triangles in Fig
 S3C, in csv format. A 1-line header is included. Fig S5D:
 FigS5D_BlueCircles.csv provide the x and y coordinates, along with error
 bars, for numerical simulation data shown by Blue Circles in Fig S3D, in
 csv format. A 1-line header is included. FigS5D_RedSquares.csv provide the
 x and y coordinates, along with error bars, for numerical simulation data
 shown by Red Squares in Fig S3D, in csv format. A 1-line header is
 included. FigS5D_Green Diamonds.csv provide the x and y coordinates, along
 with error bars, for numerical simulation data shown by Green Diamonds in
 Fig S3D, in csv format. A 1-line header is included.
 FigS5D_BlackTriangles.csv provide the x and y coordinates, along with
 error bars, for numerical simulation data shown by Black Triangles in Fig
 S3D, in csv format. A 1-line header is included. ## Code/Software Code for
 simulating finite temperature effect on interaction strength, damping of
 oscillations, and fidelity is included in the Mathematica notebook
 InteractionSimulation.nb. The Mathematica notebook was generated using
 Mathematica 12.3.1.0. No other files or packages are required to run the
 code.