Although Type Ia supernova cosmology has now reached a mature state, it is important to develop as many independent methods as possible to understand the true nature of dark energy. Recent studies have shown that Type II supernovae (SNe II) offer such a path and could be used as alternative distance indicators. However, the majority of these studies were unable to extend the Hubble diagram above redshift $z=0.3$ because of observational limitations. Here, we show that we are now ready to move beyond low redshifts and attempt high-redshift ($z gtrsim 0.3$) SN~II cosmology as a result of new-generation deep surveys such as the Subaru/Hyper Suprime-Cam (HSC) survey. Applying the standard candle method to SN$sim$2016jhj ($z=0.3398 pm 0.0002$; discovered by HSC) together with a low-redshift sample, we are able to construct the highest-redshift SN II Hubble diagram to date with an observed dispersion of 0.27 mag (i.e., 12-13% in distance). This work demonstrates the bright future of SN~II cosmology in the coming era of large, wide-field surveys like that of the Large Synoptic Survey Telescope.
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