Dataset DOI: 10.5061/dryad.fj6q57484

Description of the data and file structure

The experimental data presented in "Quantum interference of single photons without optical superposition: towards high resolution imaging in spatial and spectral domains".

This data set consists of two parts. One corresponds to the experimental results presented in the main text; the other corresponds to the results given in the supplementary material.

Files and variables

File: Main_Text.zip

Description:  The .zip file contains 6 sub-folders which correspond to Figures2-7 in the main text. All units of measure are included with column headings. 

Sub-folder: Figure2: Experimental results when the split fields of single photons are sent to separate locations and the relative phase θ between two optical paths is slowly scanned.

File: Figure2A&B.xlsx:

Experimental data for the normalized average power of the photo-current output from the homodyne detection when the relation between electronic delay and optical delay is \Delta T_e=\Delta T=5 ns and \Delta T_e-\Delta T=104 ns, respectively.

File: Figure2A_B.m:

Matlab code to process the experimental data in Figure2A&B.xlsx and generate Figure2A and Figure2B in the main text.

File: Figure2C.xlsx:

Experimental data for the visibility of the recovered interference as a function of \Delta T-\Delta T_e.

File: Figure2C.m:

Matlab code to generate Figure2C in the main text.

Sub-folder: Figure3: Experiment results for observing the interference patterns with ultra-high spectral resolution.

File: Figure3_main.m:

Matlab code to generate the main plot of Figure3 in the main text. The experimental data are contained in the code.

File: Figure3_inset.xlsx:

Experimental data and its cosine fitting for the interference pattern when \Delta T_e = \Delta T shown in the inset of Figure3.

File: Figure3_inset.m:

Matlab code to generate the inset of Figure3 in the main text.

Sub-folder: Figure4: Experiment results for the observation of the interference patterns with ultra-high spectral resolution

File: Figure4B.xlsx to Figure4G.xlsx:

Experimental data for Figure4 in the main text. All data originally in units of V² have been normalized to their corresponding SNL; for details, please refer to the related paper.

File: Figure4.m:

Matlab code to generate Figure4. The code is divided into 6 parts, which are corresponded to the subplots from Figure4B to Figure4G, respectively.

Sub-folder: Figure5: Experiment results for the characterization of the polarization dependent absorption line.

File: Figure5A.xlsx:

The optical spectrum for the absorption line in TM and TE mode, which is acquired by optical spectrum analyzer with a spectral resolution of 0.02nm.

File: Figure5B-D_TE.xlsx and Figure5B-D_TM.xlsx:

Experimental data for the detailed information of the absorption line in TE and TM mode measured by using the spectrally resolved interference of the new interferometer.

File: Figure5.m:

Matlab code to generate Figure5 in the main text.

Sub-folder: Figure6: Experimental results for estimating the short distance (a) between two independent closely-spaced broadband incoherent point sources (S1, S2).

File: Figure6.xlsx:

Calculated visibilities of the interferometer at different baseline lengths at 1310 nm and 1605 nm. The experimental data of all visibilities are normalized to 1.

File: Figure6.m:

Matlab code to fit the data in Figure6.xlsx and to generate Figure6 in the main text.

Sub-folder: Figure7: Experimental results for estimating the Doppler shift induced by the radial velocity of a moving object.

File: Figure7.xlsx and Figure7_fitting.xlsx:

The experimental results and its fitting results for the spectrum extracted from the spectrally resolved interference fringes of the new interferometer for v_r = 0, ±1, ±1.5 cm/s.

File: Figure7.m:

Matlab code to generate Figure7 in the main text.

File: Supplementary_material.zip

Description: The .zip file contains the experimental data and their corresponded Matlab or Python codes which are presented in the supplementary material for "Quantum interference of single photons without optical superposition: towards high resolution imaging in spatial and spectral domains".

Sub-folder: FigureS2: Experimental results for measuring the heralding efficiency and photon statistics of the heralded single photon source.

File: FigureS2.xlsx:

Experimental data for the coincidence counting rate between the heralded signal channel and heralding idler channel and the intensity correlation of the heralded single photon source versus the counting rate of heralding idler channel.

File: FigureS2.m:

Matlab code to generate FigureS2 in the Supplementary Material.

Sub-folder: FigureS3: Experimental results for measuring the amplitude probability distribution of heralded single photon source by homodyne detection (HD).

File: hd_response.xlsx and slow_single_diode.xlsx:

Experimental data for the main plot and the inset of FigureS3A: a typical trace of one electronic current pulse of the HD and the normalized response function of one photodiode of homodyne detector.

File: xval.xlsx:

Peak values of 17500 current pulses for the input field of vacuum and single photon state (FigureS3B).

File: distribution.xlsx:

The distribution of the extracted peak values of 17500 current pulses and their fitting results (FigureS3C).

File: variances.xlsx:

Experimental data for fitting and calculating the variances of the photo-current for single photon states at different pump powers. The result is shown in FigureS3D.

File: FigureS3.m:

Matlab code for generating FigureS3 in the Supplementary Material.

Sub-folder: FigureS4: Experimental data for recovering interference when the input field is a pulsed thermal filed.

File: thermal_data_processing.xlsx:

Experimental data of the photo-currents for individual HD and the addition of two HDs in 500ns, which is shown in FigureS4A and FigureS4B.

File: FigureS4AB.m:

Matlab code for generating FigureS4A and FigureS4B in the Supplementary Material.

File: FigureS4.pkl:

Experimental data of the photo-currents for individual HD and the addition of two HDs in 5ms, which is shown in FigureS4C and FigureS4D. The experimental data have been converted into .pkl format and can be read using the Pickle package in Python.

File: thermal_pattern.xlsx:

Experimental data for FigureS4E: the current power of each individual HD and the addition of them, showing a typical interference pattern for pulsed thermal field input.

File: FigureS4E.m:

Matlab code to generate FigureS4E in the Supplementary Material.

Sub-folder: FigureS5: The spectrum of the broadband continuous wave thermal light source.

File: FigureS5.xlsx:

Experimental data for the spectrum of the broadband continuous wave thermal light source measured by optical spectrum analyzer.

File: FigureS5.m:

Matlab code to generate FigureS5 in the Supplementary Material.

Sub-folder: FigureS6-S9: Experimental data for FigureS6 to FigureS9 in the Supplementary Material.

File: FigureS6.xlsx:

Experimental data and its fitting results for the linear dynamic range of individual HD with the input of continuous wave broadband thermal light.

File: FigureS7.pkl:

A typical set of experimental data for recovering the interference and processing the interference fringes when the input is continuous wave broadband thermal light. The experimental data have been converted into .pkl format and can be read using the Pickle package in Python.

File: FigureS8.xlsx:

Experimental data for the normalized average power and the power spectrum of current addition when |\Delta T - \Delta T_e| = 5 \mu s.

File: FigureS9.xlsx:

The measured transmission spectrum of the micro-ring resonator side-coupled to a bus waveguide, which is acquired by optical spectrum analyzer.

Sub-folder: FigureS10: Experimental result for measuring the spectrum of absorption lined by the new interferometer when the wavelength of LO is varied.

File: wide_range_lam_n.xlsx:

Experimental data for the size of the interference fringes and the average photon number as functions of the wavelength of LO.

File: FigureS10.m:

Matlab code to generate FigureS10 in the Supplementary Material.

Sub-folder: FigureS12-S14: Experimental results for FigureS12 to FigureS14 in the Supplementary Material.

File: FigureS12.xlsx:

A typical set of experimental data which shows the interfernce pattern for the input field selected by local oscillators with a wavelength of 1605 nm.

File: FigureS13.xlsx:

Experimental data for the normalized average power spectrum for extimating the Doppler shift induced by the radial velocity of a moving object. The experimental results in each case are normalized to SNL; see the related paper for more details.

File: FigureS14.pkl:

A typical set of experimental data sampled from the current addition of two sets of HDs when the phase of the interferometer is scanned. The experimental data have been converted into .pkl format and can be read using the Pickle package in Python.

Code/software

Software: Matlab and Python