From Multipartite Entanglement to TQFT

• URL: http://arxiv.org/abs/2602.16770v1
• Date: Wed, 18 Feb 2026 19:00:00 GMT
• Title: From Multipartite Entanglement to TQFT
• Authors: Michele Del Zotto, Abhijit Gadde, Pavel Putrov,
• Abstract summary: We conjecture a relationship between the genuine $(d+1)$-partite entanglement and the partition function of the low energy TQFT on $M$.<n>We verify our conjecture for general (2+1)-dimensional Levin-Wen string-net models.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: At long distances, a gapped phase of matter is described by a topological quantum field theory (TQFT). We conjecture a tight and concrete relationship between the genuine $(d+1)$-partite entanglement -- labelled by a $d$-dimensional manifold $M$ -- in the ground state of a $(d-1)+1$-dimensional gapped theory and the partition function of the low energy TQFT on $M$. In particular, the conjecture implies that for $d=3$, the ground state wavefunction can determine the modular tensor category description of the low energy TQFT. We verify our conjecture for general (2+1)-dimensional Levin-Wen string-net models.

Related papers

• Phases of the $q$-deformed $\mathrm{SU}(N)$ Yang-Mills theory at large $N$ [0.0]
  Yang-Mills theory is characterized by three parameters: the number of colors $N$, the coupling constant $g$, and the level $k$.<n>By treating these as tunable parameters, we explore how key properties of the theory, such as confinement and topological order, emerge in different regimes.
  arXiv  Detail & Related papers  (2026-01-07T12:06:40Z)
• Field digitization scaling in a $\mathbb{Z}_N \subset U(1)$ symmetric model [0.0]
  We propose to analyze field digitization by interpreting the parameter $N$ as a coupling in the renormalization group sense.<n>Using effective field theory, we derive generalized scaling hypotheses involving the FD parameter $N$.<n>We analytically prove that our calculations for the 2D classical-statistical $mathbbZ_N$ clock model are directly related to the quantum physics in the ground state of a (2+1)D $mathbbZ_N$ lattice gauge theory.
  arXiv  Detail & Related papers  (2025-07-30T18:00:02Z)
• Approximation of diffeomorphisms for quantum state transfers [49.1574468325115]
  We seek to combine two emerging standpoints in control theory.<n>We numerically find control laws driving state transitions in small time in a bilinear Schr"odinger PDE posed on the torus.
  arXiv  Detail & Related papers  (2025-03-18T17:28:59Z)
• Towards the phase diagram of fermions coupled with $SO(3)$ quantum links in $(2+1)$-D [0.0]
  Quantum link models (QLMs) are generalizations of Wilson's lattice gauge theory formulated with finite-dimensional link Hilbert spaces.<n>We extend the model to $(2+1)d$ dimensions for the first time, and report on our initial results.
  arXiv  Detail & Related papers  (2024-12-12T19:13:05Z)
• Phases of quartic scalar theories and PT symmetry [0.0]
  We show that the conjecture is true for the real part of the ground state energy and of the excited state energies.<n>The analogous relation for partition functions in zero spacetime dimensions is valid for many cases.<n>The possibility that the conjecture is valid, for a single component field theory in higher dimensional spacetimes, is discussed.
  arXiv  Detail & Related papers  (2024-09-09T08:42:23Z)
• Geometry of degenerate quantum states, configurations of $m$-planes and invariants on complex Grassmannians [55.2480439325792]
  We show how to reduce the geometry of degenerate states to the non-abelian connection $A$. We find independent invariants associated with each triple of subspaces. Some of them generalize the Berry-Pancharatnam phase, and some do not have analogues for 1-dimensional subspaces.
  arXiv  Detail & Related papers  (2024-04-04T06:39:28Z)
• New insights on the quantum-classical division in light of Collapse Models [63.942632088208505]
  We argue that the division between quantum and classical behaviors is analogous to the division of thermodynamic phases. A specific relationship between the collapse parameter $(lambda)$ and the collapse length scale ($r_C$) plays the role of the coexistence curve in usual thermodynamic phase diagrams.
  arXiv  Detail & Related papers  (2022-10-19T14:51:21Z)
• A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture [68.8204255655161]
  We argue that for generic black hole parameters as initial conditions for Einstein equations, the metric is $C0$-extendable to a larger Lorentzian manifold. We prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS$_d+1$ black hole dual to a CFT living on a ($d-1$)-dimensional hyperboloid $H_d-1$.
  arXiv  Detail & Related papers  (2022-06-17T12:14:33Z)
• Quantum double aspects of surface code models [77.34726150561087]
  We revisit the Kitaev model for fault tolerant quantum computing on a square lattice with underlying quantum double $D(G)$ symmetry. We show how our constructions generalise to $D(H)$ models based on a finite-dimensional Hopf algebra $H$.
  arXiv  Detail & Related papers  (2021-06-25T17:03:38Z)
• $a\times b=c$ in $2+1$D TQFT [2.982218441172364]
  We study the implications of the anyon fusion equation $atimes b=c$ on global properties of $2+1$D topological quantum field theories (TQFTs) We argue that the appearance of such fusions for non-abelian $a$ and $b$ can also be an indication of zero-form symmetries in a TQFT.
  arXiv  Detail & Related papers  (2020-12-29T10:01:57Z)
• The Geometry of Time in Topological Quantum Gravity of the Ricci Flow [41.94295877935867]
  We continue the study of nonrelativistic quantum gravity associated with a family of Ricci flow equations.<n>This topological gravity is of the cohomological type, and it exhibits an $cal N=2$ extended BRST symmetry.<n>We demonstrate a standard one-step BRST gauge-fixing of a theory whose fields are $g_ij$, $ni$ and $n$, and whose gauge symmetries consist of (i) the topological deformations of $g_ij$, and (ii) the ultralocal nonrelativistic limit of space
  arXiv  Detail & Related papers  (2020-11-12T06:57:10Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.