Strong-to-weak symmetry breaking states in stochastic dephasing stabilizer circuits

Understand

Discovering mixed state quantum orders is an on-going issue.

• Recently, it has been recognized that there are (at least) two kinds of symmetries in the mixed state; strong and weak symmetries.
• Under symmetry-respective decoherence, spontaneous strong-to-weak symmetry breaking (SSSB) can occur.
• This work provides a scheme to describe SSSB and other decoherence phenomena in the mixed state by employing the stabilizer formalism and the efficient numerical algorithm of Clifford circuits.