Generation of reconfigurable hypercubic graph states in 1-4 dimensions in a simple optical system

Entangled graph states can be used for quantum sensing and computing applications. In some measurement-based quantum computing schemes, error correction will require the construction of cluster states in at least 3 dimensions. Here, we generate 1-, 2-, 3-, and 4-dimensional optical frequency-mode graph states, which become cluster states at sufficiently high squeezing levels, by sending broadband 2-mode vacuum-squeezed light through an electro-optical modulator (EOM) driven with multiple frequencies. We create the squeezed light using 4-wave mixing in Rb atomic vapor and mix the sideband frequencies (qumodes) using an EOM, as proposed by Zhu et al. [Optica 8, 281 (2021)], producing a pattern of entanglement correlations that constitute continuous-variable graph states containing up to several hundred qumodes. We verify the entanglement structure by using homodyne measurements to construct the covariance matrices and evaluate the nullifiers. This technique enables scaling of optical clus..., , , # Generation of reconfigurable hypercubic graph states in 1-4 dimensions in a simple optical system

Dryad DOI: https://doi.org/10.5061/dryad.s7h44j1n3

## General description

The data are stored as comma-delimited text files (CSV). Each file contains digitized homodyne signals as a function of time.

The various files of simultaneously-recorded data are organized by the recorded quadratures: XX, XP, and PP, with a given drive voltage and frequency on the EOM.

For instance, “2D100k500k_60V” is a folder containing 2-dimensional graph data for an EOM driven with 60V/2 = 30V per “dimension” or drive waveform; the waveforms are sine waves at 100kHz and 500kHz frequencies. Each of the files is recorded for the full drive voltage, as well as a baseline of 0V (representing 2-mode squeezing) and for shot noise denoted SNL (vacuum input instead of squeezing).

The various data runs are denoted as: scope_XP_2D100k500k_SNL_1.3

scope_PP_2D100k500k_60V_1.6

scope_XX_2D100k500k_0V_1.6

etc.

These...