Circuit complexity of knot states in Chern-Simons theory
From MaRDI portal
Publication:2317813
DOI10.1007/JHEP07(2019)163zbMath1418.81053arXiv1903.10609MaRDI QIDQ2317813
Andrea Prudenziati, Giancarlo Camilo, Fábio Novaes, Dmitry Melnikov
Publication date: 12 August 2019
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.10609
Model quantum field theories (81T10) Path integrals in quantum mechanics (81S40) Eta-invariants, Chern-Simons invariants (58J28) Hopf algebras and their applications (16T05)
Related Items (6)
Semiclassical limit of topological Rényi entropy in \(3d\) Chern-Simons theory ⋮ Complexity measures in QFT and constrained geometric actions ⋮ Entanglement on multiple \(S^2\) boundaries in Chern-Simons theory ⋮ Knots, links, and long-range magic ⋮ From topological to quantum entanglement ⋮ Galois orbits of TQFTs: symmetries and unitarity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multi-boundary entanglement in Chern-Simons theory and link invariants
- Holography principle and arithmetic of algebraic curves.
- Congruence subgroups and generalized Frobenius-Schur indicators
- Knoten mit zwei Brücken
- Post-quench evolution of complexity and entanglement in a topological system
- Fusion rules and modular transformations in 2D conformal field theory
- Quantum field theory and the Jones polynomial
- Circuit complexity for coherent states
- Circuit complexity in interacting QFTs and RG flows
- Entanglement entropy and the colored Jones polynomial
- Evolution of complexity following a quantum quench in free field theory
- Towards topological quantum computer
- Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT
- Circuit complexity in quantum field theory
- Holographic spacetimes as quantum circuits of path-integrations
- Cayley graphs and complexity geometry
- Binding complexity and multiparty entanglement
- Comparison of holographic and field theoretic complexities for time dependent thermofield double states
- Entanglement on linked boundaries in Chern-Simons theory with generic gauge groups
- Black holes, complexity and quantum chaos
- Simulation of topological field theories by quantum computers
- Geodesic continued fractions
- From topological to quantum entanglement
- Complexity and scaling in quantum quench in 1 + 1 dimensional fermionic field theories
- Knot state asymptotics. I: AJ conjecture and abelian representations
- Knot state asymptotics. II: Witten conjecture and irreducible representations
- Path-integral complexity for perturbed CFTs
- Circuit complexity for free fermions
- Complexity of operators generated by quantum mechanical Hamiltonians
- More on complexity of operators in quantum field theory
- Time evolution of complexity: a critique of three methods
- Some asymptotics of topological quantum field theory via skein theory
- On the complexity of braids.
- Asymptotic faithfulness of the quantum \(\text{SU}(n)\) representations of the mapping class groups
- Petrie polygons, Fibonacci sequences and Farey maps
- Surface/state correspondence as a generalized holography
- Non-Abelian anyons and topological quantum computation
- Quantum Computation as Geometry
- A new polynomial invariant of knots and links
- Conway Algebras and Skein Equivalence of Links
- An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group
- THE UNIVERSAL LINK POLYNOMIAL
- An Invariant of Regular Isotopy
- Weighting gates in circuit complexity and holography
- A relation between the Kauffman and the HOMFLY polynomials for torus knots
- On the asymptotics of quantum SU(2) representations of mapping class groups
- Recent developments in Chern-Simons theory and link invariants
- A formula for the HOMFLY polynomial of rational links
- Topological Complexity in AdS3/CFT2
This page was built for publication: Circuit complexity of knot states in Chern-Simons theory