A5013315048- Quantum Computing Algorithms and Architecture
- Quantum and electron transport phenomena
- Quantum many-body systems
- Physics of Superconductivity and Magnetism
- Topological Materials and Phenomena
- Advanced Condensed Matter Physics
- Quantum Mechanics and Applications
- Advanced Memory and Neural Computing
- Opinion Dynamics and Social Influence
- Quantum Information and Cryptography
- Theoretical and Computational Physics
- Neural Networks and Applications
California Institute of Technology
2023-2024
Finite-depth quantum circuits preserve the long-range entanglement structure in states and map between within a gapped phase. To of different phases, we can use sequential circuits, which apply unitary transformations to local patches, strips, or other subregions system way. The circuit, on one hand, preserves area law hence gappedness states. On circuit has generically linear depth, hence, it is capable changing correlation phase they belong to. In this paper, systematically discuss...
Elementary point charge excitations in three-plus-one-dimensional $(3+1\mathrm{D})$ topological phases can condense along a line and form descendant excitation called the Cheshire string. Unlike elementary flux loop system, strings do not have to appear as boundary of 2D disk exist on open segments. On other hand, are different from trivial that be created with local unitaries zero dimensions finite depth quantum circuits one dimension higher. In this paper, we show create string, needs...
Finite-depth quantum circuits preserve the long-range entanglement structure in states and map between within a gapped phase. To of different phases, we can use Sequential Quantum Circuits which apply unitary transformations to local patches, strips, or other sub-regions system sequential way. The circuit on one hand preserves area law hence gapped-ness states. On hand, has generically linear depth, it is capable changing correlation phase they belong to. In this paper, discuss...
A large class of type-I fracton models, including the X-cube model, have been found to be fixed points foliated renormalization group (RG). The system size such models can changed by adding or removing decoupled layers $2$D topological states and continuous deformation Hamiltonian. In this paper, we study a closely related model -- Ising cage-net find that is not in same sense. fact, point out certain unnatural restrictions RG, these leads generalized RG under which point, includes original...
Two quantum theories which look different but are secretly describing the same low-energy physics said to be dual each other. When realized in Topological Holography formalism, duality corresponds changing gapped boundary condition on top of a topological field theory, determines symmetry system, while not affecting bottom where all dynamics take place. In this paper, we show that formalism can with Sequential Quantum Circuit applied boundary. As consequence, Hamiltonians before and after...
On top of a $D$-dimensional gapped bulk state, Low Entanglement Excitations (LEE) on $d$($<D$)-dimensional sub-manifolds can have extensive energy but preserves the entanglement area law ground state. Due to their multi-dimensional nature, LEEs embody higher-category structure in quantum systems. They are state modified Hamiltonian and hence capture notions `defects' generalized symmetries. In previous works, we studied low-entanglement excitations trivial phase as well those invertible...
The Ising cage-net model, first proposed in Phys. Rev. X 9, 021010 (2019), is a representative type I fracton model with nontrivial non-abelian features. In this paper, we calculate the ground state degeneracy of and find that, even though it follows similar coupled layer structure as X-cube cannot be "foliated" same sense defined 8, 031051 (2018). A more generalized notion "foliation'' hence needed to understand renormalization group transformation model. calculation done using an operator...