Related papers: No-go theorems for sequential preparation of two-dimensional chiral states via channel-state correspondence

No-go theorems for sequential preparation of two-dimensional chiral states via channel-state correspondence

URL: http://arxiv.org/abs/2511.19612v1
Date: Mon, 24 Nov 2025 19:00:05 GMT
Title: No-go theorems for sequential preparation of two-dimensional chiral states via channel-state correspondence
Authors: Ruihua Fan, Yantao Wu, Yimu Bao, Zhehao Dai,
Abstract summary: We investigate whether sequential unitary circuits can prepare two-dimensional chiral states.<n>We establish two no-go theorems, one for Gaussian fermion systems and one for generic interacting systems.
Score: 0.4619828919345113
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We investigate whether sequential unitary circuits can prepare two-dimensional chiral states, using a correspondence between sequentially prepared states, isometric tensor network states, and one-dimensional quantum channel circuits. We establish two no-go theorems, one for Gaussian fermion systems and one for generic interacting systems. In Gaussian fermion systems, the correspondence relates the defining features of chiral wave functions in their entanglement spectrum to the algebraic decaying correlations in the steady state of channel dynamics. We establish the no-go theorem by proving that local channel dynamics with translational invariance cannot support such correlations. As a direct implication, two-dimensional Gaussian fermion isometric tensor network states cannot support algebraically decaying correlations in all directions or represent a chiral state. In generic interacting systems, we establish a no-go theorem by showing that the state prepared by sequential circuits cannot host the tripartite entanglement of a chiral state due to the constraints from causality.

Related papers

Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
arXiv Detail & Related papers (2026-03-02T22:59:25Z)
Non-Hermitian free-fermion critical systems and logarithmic conformal field theory [0.0]
We show that a gapless non-Hermitian system can admit a conformal description of a PT-symmetric free-fermion field theory.<n>We also show how the same conformal data can be extracted from the lattice model at exceptional-point criticality.
arXiv Detail & Related papers (2026-02-02T19:00:01Z)
Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation.<n>We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue.<n>We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
arXiv Detail & Related papers (2025-04-11T14:06:05Z)
Theory of the correlated quantum Zeno effect in a monitored qubit dimer [41.94295877935867]
We show how the competition between two measurement processes give rise to two distinct Quantum Zeno (QZ) regimes.<n>We develop a theory based on a Gutzwiller ansatz for the wavefunction that is able to capture the structure of the Hilbert phase diagram.<n>We show how the two QZ regimes are intimately connected to the topology of the flow of the underlying non-Hermitian Hamiltonian governing the no-click evolution.
arXiv Detail & Related papers (2025-03-28T19:44:48Z)
Non-equilibrium dynamics of charged dual-unitary circuits [44.99833362998488]
interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. We show that one can introduce a class of solvable states, which extends that of generic dual unitary circuits. In contrast to the known class of solvable states, which relax to the infinite temperature state, these states relax to a family of non-trivial generalised Gibbs ensembles.
arXiv Detail & Related papers (2024-07-31T17:57:14Z)
Interacting chiral fermions on the lattice with matrix product operator norms [37.69303106863453]
We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice. The fermion doubling problem is circumvented by constructing a Fock space endowed with a semi-definite norm. We demonstrate that the scaling limit of the free model recovers the chiral fermion field.
arXiv Detail & Related papers (2024-05-16T17:46:12Z)
Topological dualities via tensor networks [0.0]
Ground state of the toric code, that of the two-dimensional class D superconductor, and the partition sum of the two-dimensional Ising model are dual to each other. Connecting fermionic and bosonic systems, the duality construction is intrinsically non-local. We propose a unified approach to this duality, whose main protagonist is a tensor network (TN) assuming the role of an intermediate translator.
arXiv Detail & Related papers (2023-09-22T18:00:17Z)
Relationship between the ground-state wave function of a magnet and its static structure factor [0.0]
We state and prove two theorems about the ground state of magnetic systems described by Heisenberg-type models. We discuss the implications for neutron scattering inverse problems.
arXiv Detail & Related papers (2022-02-04T23:26:08Z)
Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
arXiv Detail & Related papers (2021-09-27T17:45:42Z)
Localisation in quasiperiodic chains: a theory based on convergence of local propagators [68.8204255655161]
We present a theory of localisation in quasiperiodic chains with nearest-neighbour hoppings, based on the convergence of local propagators. Analysing the convergence of these continued fractions, localisation or its absence can be determined, yielding in turn the critical points and mobility edges. Results are exemplified by analysing the theory for three quasiperiodic models covering a range of behaviour.
arXiv Detail & Related papers (2021-02-18T16:19:52Z)
Non-linear ladder operators and coherent states for the 2:1 oscillator [0.0]
The 2:1 two-dimensional anisotropic quantum harmonic oscillator is considered and new sets of states are defined. The states generated are good candidates for the natural generalisation of the $mathfraksu(2)$ coherent states. The uncertainty relations of the defining chain of states are calculated and it is found that they admit a resolution of the identity and the spatial distribution of the wavefunction produces Lissajous figures.
arXiv Detail & Related papers (2020-11-19T23:16:26Z)
Theory of Ergodic Quantum Processes [0.0]
We consider general ergodic sequences of quantum channels with arbitrary correlations and non-negligible decoherence. We compute the entanglement spectrum across any cut, by which the bipartite entanglement entropy can be computed exactly. Other physical implications of our results are that most Floquet phases of matter are metastable and that noisy random circuits in the large depth limit will be trivial as far as their quantum entanglement is concerned.
arXiv Detail & Related papers (2020-04-29T18:00:03Z)

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