Multiparticle singlet states cannot be maximally entangled for the
bipartitions
- URL: http://arxiv.org/abs/2211.03813v2
- Date: Wed, 24 Jan 2024 21:57:03 GMT
- Title: Multiparticle singlet states cannot be maximally entangled for the
bipartitions
- Authors: Fabian Bernards, Otfried G\"uhne
- Abstract summary: We show that the space of pure multiparticle singlet states does not contain any state for which all partitions of two particles versus the rest are maximally entangled.
This puts restrictions on the construction of quantum codes and contributes to discussions in the context of the AdS/CFT correspondence and quantum gravity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: One way to explore multiparticle entanglement is to ask for maximal
entanglement with respect to different bipartitions, leading to the notion of
absolutely maximally entangled states or perfect tensors. A different path uses
unitary invariance and symmetries, resulting in the concept of multiparticle
singlet states. We show that these two concepts are incompatible in the sense
that the space of pure multiparticle singlet states does not contain any state
for which all partitions of two particles versus the rest are maximally
entangled. This puts restrictions on the construction of quantum codes and
contributes to discussions in the context of the AdS/CFT correspondence and
quantum gravity.
Related papers
- Packaged Quantum States in Field Theory: No Partial Factorization, Multi-Particle Packaging, and Hybrid Gauge-Invariant Entanglement [0.0]
Local gauge invariance and superselection rules enforce a packaging'' principle for quantum field excitations.
At the single-particle level, this packaging principle forbids the partial factorization of IQNs.
Superselection restricts the net gauge charge to a single sector, eliminating cross-sector Bell-type superpositions.
arXiv Detail & Related papers (2025-02-02T12:05:27Z) - All multiparty quantum systems have state with unconditionally superposition-robust entanglement [0.0]
We find a feature of multipartite quantum systems which is in sharp contrast with that of bipartite ones.
We show how unconditional inseparability of superposition can be useful in exhibiting an indistinguishability property within the local unambiguous state discrimination problem.
arXiv Detail & Related papers (2024-12-10T09:29:39Z) - Multipartite Embezzlement of Entanglement [44.99833362998488]
Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via local operations and without communication.
We show that finite-dimensional approximations of multipartite embezzling states form multipartite embezzling families.
We discuss our results in the context of quantum field theory and quantum many-body physics.
arXiv Detail & Related papers (2024-09-11T22:14:22Z) - Critical Fermions are Universal Embezzlers [44.99833362998488]
We show that universal embezzlers are ubiquitous in many-body physics.
The same property holds in locally-interacting, dual spin chains via the Jordan-Wigner transformation.
arXiv Detail & Related papers (2024-06-17T17:03:41Z) - General teleportation channel in Fermionic Quantum Theory [0.0]
Parity Superselection Rule in Fermionic Quantum Theory (FQT) puts constraint on the allowed set of physical states and operations.
We show that the structure of the canonical form of Fermionic invariant shared state differs from that of the isotropic state.
We find that under separable measurements on a bipartite Fermionic state, input and output states of the Fermionic teleportation channel cannot be distinguished.
arXiv Detail & Related papers (2023-12-07T11:52:45Z) - Multipartite entanglement theory with entanglement-nonincreasing
operations [91.3755431537592]
We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication.
We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
arXiv Detail & Related papers (2023-05-30T12:53:56Z) - Unextendibility, uncompletability, and many-copy indistinguishable
ensembles [77.34726150561087]
We study unextendibility, uncompletability and analyze their connections to many-copy indistinguishable ensembles.
We report a class of multipartite many-copy indistinguishable ensembles for which local indistinguishability property increases with decreasing mixedness.
arXiv Detail & Related papers (2023-03-30T16:16:41Z) - Many-body quantum non-Markovianity [0.0]
We show how the specific structure of many-particle states determines the observability of non-Markovianity by single- or many-particle observables.
arXiv Detail & Related papers (2022-07-13T10:17:34Z) - Experimental demonstration of optimal unambiguous two-out-of-four
quantum state elimination [52.77024349608834]
A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements.
Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
arXiv Detail & Related papers (2022-06-30T18:00:01Z) - Optimal bounds on the speed of subspace evolution [77.34726150561087]
In contrast to the basic Mandelstam-Tamm inequality, we are concerned with a subspace subject to the Schroedinger evolution.
By using the concept of maximal angle between subspaces we derive optimal bounds on the speed of such a subspace evolution.
These bounds may be viewed as further generalizations of the Mandelstam-Tamm inequality.
arXiv Detail & Related papers (2021-11-10T13:32:15Z) - Separability and entanglement in superpositions of quantum states [0.0]
We study the superpositions of a pure entangled state and a pure product state, when the amplitudes corresponding to the states appearing in any superposition are nonzero.
All such superpositions produce only entangled states if the initial entangled state has Schmidt rank three or higher.
We find that conditional inseparability of superpositions help in identifying strategies for conclusive local discrimination of shared quantum ensembles.
arXiv Detail & Related papers (2021-08-04T19:48:29Z)
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.