The Hylian Sword is the weapon used by every Hylian Soldier. Whether it is the Knight's Sword, Magical Sword, White Sword, or 8-Bit sword, these weapons are used by Hyrule's Army.
Knight's Sword
This is Link's first weapon earned by starting the first mission in which he disobeys orders to protect Hyrule Castle against Wizro and Volga. The Knight's Sword is weak but has many damage variants with many upgrades capable of being outfited to it.
White Sword
The White Sword is a better version of the Knight's Sword. This weapon can have a higher damage variant as well as better upgrades one is found with. This weapon is unlocked by beating the Sealed Grounds mission. To unlock, one must have captured the East Cannon Keep in Sealed Grounds - Sealed Ambition
Magical Sword
The Magical Sword is an even better Hylian Sword that is much stronger than the White Sword and can even have better upgrades. The weapon is unlocked by acheiving an "A" Rank on Adventure Mode 3-2.
8-Bit Wooden Sword
The classic Hylian Sword, the first weapon used by the first hero. No upgrades can go to this weapon and there is only a single one that can be found. This is acquired by completeing Valley of Seers - Shining Beacon.