Spontaneous strong symmetry breaking in open systems: Purification perspective
We explore the effect of decoherence on many-body mixed states from a purification
perspective. Here, quantum channels map to unitary transformations acting on a purified …
perspective. Here, quantum channels map to unitary transformations acting on a purified …
Unconventional topological mixed-state transition and critical phase induced by self-dual coherent errors
YH Chen, T Grover - Physical Review B, 2024 - APS
A topological phase can undergo a phase transition driven by anyon condensation. A
potential obstruction to such a mechanism could arise if there exists a symmetry between …
potential obstruction to such a mechanism could arise if there exists a symmetry between …
Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak
D Gu, Z Wang, Z Wang - arXiv preprint arXiv:2406.19381, 2024 - arxiv.org
Depending on the coupling to the environment, symmetries of open quantum systems
manifest in two distinct forms, the strong and the weak. We study the spontaneous symmetry …
manifest in two distinct forms, the strong and the weak. We study the spontaneous symmetry …
Intrinsic symmetry-protected topological mixed state from modulated symmetries and hierarchical structure of boundary anomaly
Y You, M Oshikawa - Physical Review B, 2024 - APS
We introduce a class of intrinsic symmetry-protected topological mixed state (mSPT) in open
quantum systems that feature modulated symmetries, such as dipole and subsystem …
quantum systems that feature modulated symmetries, such as dipole and subsystem …
Strong-to-weak spontaneous symmetry breaking in mixed quantum states
Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry,
where each individual pure state in the quantum ensemble is symmetric with the same …
where each individual pure state in the quantum ensemble is symmetric with the same …
An analog of topological entanglement entropy for mixed states
We propose the convex-roof extension of quantum conditional mutual information (" co
(QCMI)") as a diagnostic of long-range entanglement in a mixed state. We focus primarily on …
(QCMI)") as a diagnostic of long-range entanglement in a mixed state. We focus primarily on …
Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the R\'enyi-1 Correlator
Z Weinstein - arXiv preprint arXiv:2410.23512, 2024 - arxiv.org
Strong-to-weak spontaneous symmetry breaking (SWSSB) has recently emerged as a
universal feature of quantum mixed-state phases of matter. While various information …
universal feature of quantum mixed-state phases of matter. While various information …
Mixed-State Topological Order under Coherent Noises
S Lee, EG Moon - arXiv preprint arXiv:2411.03441, 2024 - arxiv.org
Mixed-state phases of matter under local decoherence have recently garnered significant
attention due to the ubiquitous presence of noise in current quantum processors. One of the …
attention due to the ubiquitous presence of noise in current quantum processors. One of the …
Stabilizing Non-Abelian Topological Order against Heralded Noise via Local Lindbladian Dynamics
An important open question for the current generation of highly controllable quantum
devices is understanding which phases can be realized as stable steady-states under local …
devices is understanding which phases can be realized as stable steady-states under local …
Robust preparation of ground state phases under noisy imaginary time evolution
Non-unitary state preparation protocols such as imaginary time evolution (ITE) offer
substantial advantages relative to unitary ones, including the ability to prepare certain long …
substantial advantages relative to unitary ones, including the ability to prepare certain long …