Tensor chain and constraints in tensor networks
AbstractWe develop our recent work on quantum error correction (QEC) and entanglement spectrum (ES) in tensor networks (arXiv:1806.05007). We propose a general framework for planar tensor network state...
View Article3 d one-form mixed anomaly and entanglement entropy
AbstractWe study mixed anomaly between G1 and G2 of one-form finite symmetry G1× G2 in 3d Chern-Simons theories. We assign a quantum entanglement structure to two linked G-symmetry lines (Wilson loops)...
View ArticleIshibashi states, topological orders with boundaries and topological...
AbstractWe compute the entanglement entropy in a 2+1 dimensional topological order in the presence of gapped boundaries. Specifically, we consider entanglement cuts that cut through the boundaries. We...
View ArticleMulti-boundary entanglement in Chern-Simons theory with finite gauge groups
AbstractWe study the multi-boundary entanglement structure of the states prepared in (1+1) and (2+1) dimensional Chern-Simons theory with finite discrete gauge group G. The states in (1+1)-d are...
View ArticleA (dummy’s) guide to working with gapped boundaries via (fermion) condensation
AbstractWe study gapped boundaries characterized by “fermionic condensates” in 2+1 d topological order. Mathematically, each of these condensates can be described by a super commutative Frobenius...
View ArticleTripartite entanglement and quantum correlation
AbstractWe provide an analytical tripartite-study from the generalized R-matrix. It provides the upper bound of the maximum violation of Mermin’s inequality. For a generic 2-qubit pure state, the...
View ArticleBending the Bruhat-Tits tree. Part I. Tensor network and emergent Einstein...
AbstractAs an extended companion paper to [1], we elaborate in detail how the tensor network construction of a p-adic CFT encodes geometric information of a dual geometry even as we deform the CFT away...
View ArticleRealize Emergent Gravity to Generic Situations
AbstractWe clarify the problem in which occasions can gravitational force be regarded emergent from thermodynamics, by proposing an entropic mechanism that can extract the entropic gradient existing in...
View ArticleBending the Bruhat-Tits tree. Part II. The p-adic BTZ black hole and local...
AbstractIn this sequel to [1], we take up a second approach in bending the Bruhat-Tits tree. Inspired by the BTZ black hole connection, we demonstrate that one can transplant it to the Bruhat-Tits...
View ArticleEntanglement entropy and edge modes in topological string theory. Part I....
AbstractProgress in identifying the bulk microstate interpretation of the Ryu-Takayanagi formula requires understanding how to define entanglement entropy in the bulk closed string theory....
View ArticleAnyon condensation: coherent states, symmetry enriched topological phases,...
AbstractAlthough the mathematics of anyon condensation in topological phases has been studied intensively in recent years, a proof of its physical existence is tantamount to constructing an effective...
View ArticleInformation propagation in a non-local model with emergent locality
AbstractIn this paper, we revisit a “relatively local” model proposed in [1], where locality and dimensionality of space only emerges from the entanglement structure of the state the system is in....
View ArticleTopological orders, braiding statistics, and mixture of two types of twisted...
AbstractTopological orders are a prominent paradigm for describing quantum many-body systems without symmetry-breaking orders. We present a topological quantum field theoretical (TQFT) study on...
View ArticleAlgebra of diffeomorphism-invariant observables in Jackiw-Teitelboim gravity
AbstractIn this paper we use the covariant Peierls bracket to compute the algebra of a sizable number of diffeomorphism-invariant observables in classical Jackiw-Teitelboim gravity coupled to fairly...
View ArticleSectional curvatures distribution of complexity geometry
AbstractIn the geometric approach to defining complexity, operator complexity is defined as the distance in the operator space. In this paper, based on the analogy with the circuit complexity, the...
View ArticleShape dependence of mutual information in the OPE limit: linear responses
AbstractMutual information serves as an important measure of correlation between subsystem components. In the framework of quantum field theories (QFTs) they have better regulated UV behavior than...
View ArticleScrambling and entangling spinning particles
AbstractIn this paper we revisit the gravitational eikonal amplitudes of two scattering spinning particles and inspect their scrambling power in the spin spaces that is quantified through the...
View ArticleThread/State correspondence: from bit threads to qubit threads
AbstractStarting from an interesting coincidence between the bit threads and SS (surface/state) correspondence, both of which are closely related to the holographic RT formula, we introduce a property...
View ArticleModular parallel transport of multiple intervals in 1+1-dimensional free...
AbstractModular parallel transport is a generalization of Berry phases, applied to modular (entanglement) Hamiltonians. Here we initiate the study of modular parallel transport for disjoint field...
View ArticleOn the decoherence of primordial gravitons
AbstractIt is well-known that the primordial scalar curvature and tensor perturbations, ζ and γij, are conserved on super-horizon scales in minimal inflation models. However, their wave functional has...
View Article
