New Borderlands 4 Shift Code Gets You 3 Golden Keys

Gearbox Software regularly shares SHiFT codes with players to help them get extra items in the Borderlands games. Since the release of Borderlands 4 in September, they’ve been providing these codes consistently. Players can use them to get Golden Keys – which unlock special chests – and unique cosmetic items. As a holiday treat, Gearbox has recently released another set of codes for the community.


![The study of the [latex]\mathbb{Z}_N[/latex] toric code under XX-type dephasing reveals a nuanced relationship between code size and quantum information protection, demonstrating that while codes with [latex]N \leq 4[/latex] exhibit a clear transition from fully decodable to completely lost information, larger codes ([latex]N > 4[/latex]) possess an intermediate quasi-long-range order (QLRO) phase where a finite, yet diminishing, fraction of logical information remains protected-a fraction that expands with increasing code size-and critical temperatures consistently approximate 0.38, aligning with self-dual identities.](https://arxiv.org/html/2512.22121v1/x5.png)



