55 citations · 224 across the 14 of their papers we have counts for
15 papers
Ground state energy estimation and preparation by the truncated power method
Savero Lukianto Chandra, Daochen Wang, Carolyn Zhang
The Guided Local Hamiltonian Problem (GLHP) is the problem of ground state energy estimation and preparation given a guiding state having good overlap with the true ground state. T…
Local diagnostics for strong-to-weak spontaneous symmetry breaking and non-equilibrium phase transitions
Carolyn Zhang
We construct strongly -symmetric local Markov/Lindblad dynamics exhibiting transitions between strong-paramagnetic behavior and strong-to-weak spontaneous symmetry br…
Translation symmetry-enforced long-range entanglement in mixed states
Ryan Thorngren, Lei Gioia, Carolyn Zhang
We show by a counting argument that even though translation symmetry admits symmetric short-range entangled (SRE) eigenstates, there are not enough such SRE eigenstates to span the…
Anomalies of Non-Invertible Symmetries in (3+1)d
Clay Cordova, Po-Shen Hsin, Carolyn Zhang
Anomalies of global symmetries are important tools for understanding the dynamics of quantum systems. We investigate anomalies of non-invertible symmetries in 3+1d using 4+1d bulk…
Antiunitary symmetry breaking and a hierarchy of purification transitions in Floquet non-unitary circuits
Carolyn Zhang, Etienne Granet
We consider how a maximally mixed state evolves under Floquet non-unitary circuits with an antiunitary symmetry that squares to identity, that serves as a generalized $\ma…
Note on quantum cellular automata and strong equivalence
Carolyn Zhang
In this note, we present some results on the classification of quantum cellular automata (QCA) in 1D under strong equivalence rather than stable equivalence. Under strong equivalen…
Anomalies of categorical symmetries
Carolyn Zhang, Clay Córdova
We present a general approach for detecting when a fusion category symmetry is anomalous, based on the existence of a special kind of Lagrangian algebra of the corresponding Drinfe…
Volume-law to area-law entanglement transition in a non-unitary periodic Gaussian circuit
Etienne Granet, Carolyn Zhang, Henrik Dreyer
We consider Gaussian quantum circuits that alternate unitary gates and post-selected weak measurements, with spatial translation symmetry and time periodicity. We show analytically…
Bulk-boundary correspondence for interacting Floquet systems in two dimensions
Carolyn Zhang, Michael Levin
We present a method for deriving bulk and edge invariants for interacting, many-body localized Floquet systems in two spatial dimensions. This method is based on a general mathemat…
Topological invariants for SPT entanglers
Carolyn Zhang
We develop a framework for classifying locality preserving unitaries (LPUs) with internal, unitary symmetries in dimensions, based on dimensional ``flux insertion opera…
Exactly solvable model for a deconfined quantum critical point in 1D
Carolyn Zhang, Michael Levin
We construct an exactly solvable lattice model for a deconfined quantum critical point (DQCP) in (1+1) dimensions. This DQCP occurs in an unusual setting, namely at the edge of a (…
Proposal for realizing anomalous Floquet insulators via Chern band annihilation
Carolyn Zhang, Tobias Holder, Netanel H. Lindner +2
Two-dimensional periodically driven systems can host an unconventional topological phase unattainable for equilibrium systems, termed the Anomalous Floquet-Anderson insulator (AFAI…
Vanishing Hall conductance for commuting Hamiltonians
Carolyn Zhang, Michael Levin, Sven Bachmann
We consider the process of flux insertion for ground states of almost local commuting projector Hamiltonians in two spatial dimensions. In the case of finite dimensional local Hilb…
Classification of interacting Floquet phases with symmetry in two dimensions
Carolyn Zhang, Michael Levin
We derive a complete classification of Floquet phases of interacting bosons and fermions with symmetry in two spatial dimensions. According to our classification, there is a…
Density-Matrix Renormalization Group study of Many-Body Localization in Floquet Eigenstates
Carolyn Zhang, Frank Pollmann, S. L. Sondhi +1
We generalize the recently introduced Density-Matrix Renormalization Group (DMRG-X) [Khemani et al, PRL 2016] algorithm to obtain Floquet eigenstates of one-dimensional, periodical…