Since no official port exists, the only way to play this PS3 exclusive on your computer is via emulation. Specifically, you’ll need RPCS3—the open-source PlayStation 3 emulator that has matured into an incredibly powerful tool for PC gaming.
Some RPCS3 testers have found success using a hacked build of the emulator specifically optimized for Bleach: Soul Resurrección. You can find this custom build on GitHub under the account "Zangetsu38".