Let's start with Honoka. She's a 17yr old girl living in a post-apoc world currently ruled and watched over by a group of humanoids known as The Third, who were created by humans centuries earlier to take care of them. In this way they control all technology and make all the rules, making the humans who live during this time quite resentful, especially since anyone caught using or creating anything beyond a certain degree of technology can be arrested, imprisoned or even executed depending on the offense or how many offenses they've made.
Honoka spends much of her time out in the desert as that was where she grew up with her grandpa (not related) as part of a desert caravan. From him she learned the art of the sword as well as the ability to sense and manipulate chi. Honoka is naturally gifted thanks to her Blue Astral Eye, which people originally believed meant she was one of the Third. However their eyes are Red and allow them to access all of their information networks from virtually anywhere and interlinks all of the Third together should they wish to communicate that way. Honoka's does not and instead connects her more to nature and the natural flow of the universe around her, giving her highly attuned senses.
Honoka makes her living as a Jack of all Trades with her partner and caretaker Bogie, an AI that operates and controls the sand tank that acts as both transport and home. Honoka is a master swordsman and a keen marksman as well, having taken up firearms as more of a hobby and collects them despite her rare use of them. Honoka uses her katana as a conduit for her chi and can cut through just about anything with it. Including large creatures and high-density metals. Honoka is even capable of cutting through illusions and can send out concussive waves. Blue Breaker, an android created by the Third, was hit by one such wave and reported to his superiors that he could not analyze the attack as it created no kinetic force yet he felt it all the same.
After a near death experience fighting a guy who makes the T-1000 Terminator flush with envy, Honoka was infused with special cells by a creature that was essentially an almagation of all the genetic material of every living creature the world had ever known. These cells not only helped to heal Honoka's injuries, but unlocked her full potential as a new form of life. It was later revealed that Honoka was not to be referred to as a Third based on having a third eye, but by being a Third evolution of Humanity. A Third breed of human if you must. Humans being foremost, the red-eyed Third created by man, and Honoka who was born naturally as the first of a new form of life.
After Honoka recovered, her potential grew and her older limitations were quickly surpassed. Her senses expanded and her chi grew at an astonishing rate. What once exhausted her before now barely requires as much effort as walking a few feet. Honoka was already in the super-sonic range before this, and while her overall speed does not seem to have changed, her sensing abilities have grown to the point where she can easily a lightspeed attack by dodging just before it's fired, thus preventing its trajectory from being changed. And this was done while she was still recovering from injuries she received by this particular foe.
Not only can Honoka cut the laser created by Leon, but even cut through and destroyed the nervous system comprising his nanomachine body, something she couldn't do before no matter how many times she slashed him. After this point Honoka's power and skills grew. By the EoS, Honoka could gather and generate enough force to wipe out a million strong army of Auto-Enforcers (robots) and tanks with a single move that didn't tire her at all.