All genuinely entangled stabilizer subspaces are multipartite fully
nonlocal
- URL: http://arxiv.org/abs/2312.08757v1
- Date: Thu, 14 Dec 2023 09:09:10 GMT
- Title: All genuinely entangled stabilizer subspaces are multipartite fully
nonlocal
- Authors: Owidiusz Makuta and Remigiusz Augusiak
- Abstract summary: We show that mixed stabilizer states defined on a genuinely entangled subspace is multipartite fully nonlocal.
We also introduce the first examples of genuinely nonlocal subspaces in multiqubit Hilbert spaces in which every single pure state is genuinely nonlocal.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Understanding the relationship between entanglement and Bell nonlocality is
one of the long-lasting open problems in quantum physics which is important
both from the fundamental and application points of view. In particular, while
both entanglement and Bell nonlocality are key resources in quantum
information, the latter appears to be a stronger one because it allows for
information processing in the device-independent framework in which the players
need not trust their devices. Thus, understanding which entangled states give
rise to Bell nonlocality and thus are resourceful in this framework is an
important and interesting task. Here we establish the equivalence between
genuine entanglement and genuine nonlocal for a broad class of multipartite
(pure and mixed) states originating from the stabilizer formalism. In fact, we
demonstrate a much stronger result that any (mixed) stabilizer state defined on
a genuinely entangled subspace is multipartite fully nonlocal meaning that it
gives rise to correlations that have no contribution coming from local hidden
variable models of any type. We thus also introduce the first examples of
genuinely nonlocal subspaces in multiqubit Hilbert spaces in which every single
pure state is genuinely nonlocal.
Related papers
- Quantum resource theory of Bell nonlocality in Hilbert space [0.0]
We introduce a Hilbert space based resource theory of Bell nonlocality with the aim of providing bona fide measures of quantum nonlocality.
We construct our theory by defining the set of local (or free) states, i.e., the states that do not violate the Clauser-Horne-Shimony-Holt inequality.
We illustrate the general resource theory so developed by applying it to specific classes of quantum states, including two-qubit Werner states, Bell-diagonal states, and Bell-diagonal states at fixed convexity.
arXiv Detail & Related papers (2023-11-03T14:26:58Z) - Nonlocality activation in a photonic quantum network [0.44270590458998854]
Bell nonlocality is crucial for device-independent technologies like quantum key distribution and randomness generation.
We show that single copies of Bell-local states can give rise to nonlocality after being embedded into a quantum network of multiple parties.
Our findings have fundamental implications for nonlocality and enable the practical use of nonlocal correlations in real-world applications.
arXiv Detail & Related papers (2023-09-12T18:14:49Z) - Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
Signatures of localization have been observed in condensed matter and cold atomic systems.
We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths.
We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
arXiv Detail & Related papers (2023-03-13T12:45:25Z) - Bell inequalities with overlapping measurements [52.81011822909395]
We study Bell inequalities where measurements of different parties can have overlap.
This allows to accommodate problems in quantum information.
The scenarios considered show an interesting behaviour with respect to Hilbert space dimension, overlap, and symmetry.
arXiv Detail & Related papers (2023-03-03T18:11:05Z) - Experimental full network nonlocality with independent sources and
strict locality constraints [59.541438315564854]
Nonlocality in networks gives rise to phenomena radically different from that in standard Bell scenarios.
We experimentally observe full network nonlocality in a network where the source-independence, locality, and measurement-independence loopholes are closed.
Our experiment violates known inequalities characterizing non-full network nonlocal correlations by over five standard deviations.
arXiv Detail & Related papers (2023-02-05T20:03:58Z) - Localization in the random XXZ quantum spin chain [55.2480439325792]
We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$frac12$ chain in a random magnetic field.
We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space.
arXiv Detail & Related papers (2022-10-26T17:25:13Z) - Proofs of network quantum nonlocality aided by machine learning [68.8204255655161]
We show that the family of quantum triangle distributions of [DOI40103/PhysRevLett.123.140] did not admit triangle-local models in a larger range than the original proof.
We produce a large collection of network Bell inequalities for the triangle scenario with binary outcomes, which are of independent interest.
arXiv Detail & Related papers (2022-03-30T18:00:00Z) - Full network nonlocality [68.8204255655161]
We introduce the concept of full network nonlocality, which describes correlations that necessitate all links in a network to distribute nonlocal resources.
We show that the most well-known network Bell test does not witness full network nonlocality.
More generally, we point out that established methods for analysing local and theory-independent correlations in networks can be combined in order to deduce sufficient conditions for full network nonlocality.
arXiv Detail & Related papers (2021-05-19T18:00:02Z) - Graph connectivity based strong quantum nonlocality with genuine
entanglement [1.3621712165154807]
Strong nonlocality based on local distinguishability is a stronger form of quantum nonlocality recently introduced in multipartite quantum systems.
This work associates a physical quantity named strong nonlocality with a mathematical quantity called graph connectivity.
arXiv Detail & Related papers (2021-04-14T07:17:57Z) - Local distinguishability based genuinely quantum nonlocality without
entanglement [4.175755620596097]
We consider a weaker form of nonlocality called local distinguishability based genuine nonlocality.
We present an elegant set of product states in bipartite systems that is locally indistinguishable.
We obtain that genuinely nonlocal sets of fully product states exist for all possible multipartite quantum systems.
arXiv Detail & Related papers (2020-11-20T09:10:51Z) - Unbounded Bell violations for quantum genuine multipartite non-locality [0.5156484100374058]
Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality.
We show that while in the so-called correlation scenario the relative violation of bilocal Bell inequalities by quantum resources is bounded, it does not grow arbitrarily with the number of inputs.
We identify Bell functionals that take the form of non-local games for which the ratio of the quantum and bilocal values grows unboundedly as a function of the number of inputs and outputs.
arXiv Detail & Related papers (2020-02-28T09:28:27Z)
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.