Hyper-Kamiokande will be a next generation underground water Cherenkov detector with a total (fiducial) mass of 0.99 (0.56) million metric tons, approximately 20 (25) times larger than that of Super-Kamiokande. One of the main goals of Hyper-Kamiokande is the study of $CP$ asymmetry in the lepton sector using accelerator neutrino and anti-neutrino beams. In this paper, the physics potential of a long baseline neutrino experiment using the Hyper-Kamiokande detector and a neutrino beam from the J-PARC proton synchrotron is presented. The analysis uses the framework and systematic uncertainties derived from the ongoing T2K experiment. With a total exposure of 7.5 MW $times$ 10$^7$ sec integrated proton beam power (corresponding to $1.56times10^{22}$ protons on target with a 30 GeV proton beam) to a $2.5$-degree off-axis neutrino beam, it is expected that the leptonic $CP$ phase $delta_{CP}$ can be determined to better than 19 degrees for all possible values of $delta_{CP}$, and $CP$ violation can be established with a statistical significance of more than $3,sigma$ ($5,sigma$) for $76%$ ($58%$) of the $delta_{CP}$ parameter space. Using both $ u_e$ appearance and $ u_mu$ disappearance data, the expected 1$sigma$ uncertainty of $sin^2theta_{23}$ is 0.015(0.006) for $sin^2theta_{23}=0.5(0.45)$.
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