Related papers: Multipartite entanglement in the diagonal symmetric subspace

Multipartite entanglement in the diagonal symmetric subspace

URL: http://arxiv.org/abs/2403.05244v1
Date: Fri, 8 Mar 2024 12:06:16 GMT
Title: Multipartite entanglement in the diagonal symmetric subspace
Authors: Jordi Romero-Pallej\`a, Jennifer Ahiable, Alessandro Romancino, Carlo Marconi and Anna Sanpera
Abstract summary: For diagonal symmetric states, we show that there is no bound entanglement for $d = 3,4 $ and $N = 3$. We present a constructive algorithm to map multipartite diagonal symmetric states of qudits onto bipartite symmetric states of larger local dimension.
Score: 41.94295877935867
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We investigate the entanglement properties in the symmetric subspace of $N$-partite $d$-dimensional systems (qudits). For diagonal symmetric states, we show that there is no bound entanglement for $d = 3,4 $ and $N = 3$. Further, we present a constructive algorithm to map multipartite diagonal symmetric states of qudits onto bipartite symmetric states of larger local dimension. This technique greatly simplifies the analysis of multipartite states and allows to infer entanglement properties for any even $N \geq 4 $ due to the fact that the PPT conditions that arise from the bipartite symmetric state correspond to the same PPT conditions that appear in the multipartite diagonal symmetric state.

Related papers

Non-invertible SPT, gauging and symmetry fractionalization [2.541410020898643]
We construct the lattice models for the phases of all the symmetries in the Rep($Q_8$) duality web. We show that these interplay can be explained using the symmetry fractionalization in the 2+1d bulk SET.
arXiv Detail & Related papers (2024-05-24T21:35:55Z)
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)
Symmetry-restricted quantum circuits are still well-behaved [45.89137831674385]
We show that quantum circuits restricted by a symmetry inherit the properties of the whole special unitary group $SU(2n)$. It extends prior work on symmetric states to the operators and shows that the operator space follows the same structure as the state space.
arXiv Detail & Related papers (2024-02-26T06:23:39Z)
Non-invertible symmetry-protected topological order in a group-based cluster state [0.5461938536945721]
We introduce a one-dimensional stabilizer Hamiltonian composed of group-based Pauli operators whose ground state is a $Gtimes textRep(G)$-symmetric state. We show that this state lies in a symmetry-protected topological (SPT) phase protected by $Gtimes textRep(G)$ symmetry, distinct from the symmetric product state by a duality argument.
arXiv Detail & Related papers (2023-12-14T18:56:20Z)
Entanglement of Quantum States which are Zero on the Symmetric Sector [0.0]
We consider a quantum system of n qudits and the Clebsch-Gordan decomposition of the associated Hilbert space. We prove that any separable state must have a nonzero component on the symmetric sector. We identify a class of entanglement witnesses for these systems.
arXiv Detail & Related papers (2023-11-28T22:48:24Z)
Asymmetry activation and its relation to coherence under permutation operation [53.64687146666141]
A Dicke state and its decohered state are invariant for permutation. When another qubits state to each of them is attached, the whole state is not invariant for permutation, and has a certain asymmetry for permutation.
arXiv Detail & Related papers (2023-11-17T03:33:40Z)
Symmetry-enriched topological order from partially gauging symmetry-protected topologically ordered states assisted by measurements [1.2809525640002364]
It is known that for a given symmetry group $G$, the 2D SPT phase protected by $G$ is dual to the 2D topological phase exemplified by the twisted quantum double model $Domega(G)$ via gauging the global symmetry $G$. Here, we review the general approach to gauging a $G$-SPT starting from a fixed-point ground-state wave function and applying a $N$-step gauging procedure. We provide an in-depth analysis of the intermediate states emerging during the N-step gauging and provide tools to measure and identify the emerging symmetry-
arXiv Detail & Related papers (2023-05-16T18:40:56Z)
Non-Hermitian $C_{NH} = 2$ Chern insulator protected by generalized rotational symmetry [85.36456486475119]
A non-Hermitian system is protected by the generalized rotational symmetry $H+=UHU+$ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants.
arXiv Detail & Related papers (2021-11-24T15:50:22Z)
Fermion and meson mass generation in non-Hermitian Nambu--Jona-Lasinio models [77.34726150561087]
We investigate the effects of non-Hermiticity on interacting fermionic systems. We do this by including non-Hermitian bilinear terms into the 3+1 dimensional Nambu--Jona-Lasinio (NJL) model.
arXiv Detail & Related papers (2021-02-02T13:56:11Z)
The quantum marginal problem for symmetric states: applications to variational optimization, nonlocality and self-testing [0.0]
We present a method to solve the quantum marginal problem for symmetric $d$-level systems. We illustrate the applicability of the method in central quantum information problems with several exemplary case studies.
arXiv Detail & Related papers (2020-01-13T18:20:53Z)

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