Bell inequality violations with random mutually unbiased bases
- URL: http://arxiv.org/abs/2205.04037v2
- Date: Mon, 18 Jul 2022 15:11:07 GMT
- Title: Bell inequality violations with random mutually unbiased bases
- Authors: Gelo Noel M. Tabia, Varun Satya Raj Bavana, Shih-Xian Yang,
Yeong-Cherng Liang
- Abstract summary: We investigate the problem of exhibiting Bell nonlocality for a two-qudit entangled pure state using a randomly chosen set of mutually unbiased bases.
We find that even if we employ only two-setting Bell inequalities, we find a significant chance of obtaining a Bell violation if the two parties are individually allowed to measure a sufficient number of MUBs.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We examine the problem of exhibiting Bell nonlocality for a two-qudit
entangled pure state using a randomly chosen set of mutually unbiased bases
(MUBs). Interestingly, even if we employ only two-setting Bell inequalities, we
find a significant chance of obtaining a Bell violation if the two parties are
individually allowed to measure a sufficient number of MUBs. In particular, for
the case of maximally entangled qutrits and ququarts, our numerical estimates
indicate that we can obtain near-guaranteed Bell violation by considering only
such Bell inequalities. The case of maximally entangled ququints is similar,
albeit the chance of ending up with a successful trial decreases somewhat to
approximately $99.84\%$. Upon a closer inspection, we find that even all these
no-violation instances violate some more-setting Bell inequalities. These
results suggest that the experimental tests of Bell nonlocality for these
higher-dimensional entangled states remain viable even if the two parties do
not share a common reference frame.
Related papers
- Optimal Bell inequalities for qubit-qudit systems [44.99833362998488]
We evaluate the maximal Bell violation for a generic qubit-qudit system, obtaining easily computable expressions in arbitrary qudit dimension.
We also give simple lower and upper bounds on that violation and study the possibility of improving the amount of Bell-violation by embedding the qudit Hilbert space in one of larger dimension.
arXiv Detail & Related papers (2024-04-02T16:40:57Z) - Verification of Bell Nonlocality by Violating Quantum Monogamy Relations [2.062195473318468]
Existing quantum monogamy relations rule out the possibility of simultaneous violations of any Bell inequalities.
We demonstrate that violating these monogamy relations can dynamically witness simultaneous Bell nonlocalities of partial systems.
We conduct a tripartite experiment to verify quantum nonlocalities by violating a tripartite monogamy relation using a maximally entangled two-photon state.
arXiv Detail & Related papers (2024-03-14T08:26:32Z) - Some consequences of Sica's approach to Bell's inequalities [55.2480439325792]
Louis Sica derived Bell's inequalities from the hypothesis that the time series of outcomes observed in one station does not change if the setting in the other station is changed.
In this paper, Sica's approach is extended to series with non ideal efficiency and to the actual time structure of experimental data.
arXiv Detail & Related papers (2024-03-05T13:59:52Z) - Expanding bipartite Bell inequalities for maximum multi-partite
randomness [0.9208007322096533]
We study the maximum amount of randomness that can be certified by correlations exhibiting a violation of the Mermin-Ardehali-Belinskii-Klyshko inequality.
We derive new families of Bell inequalities certifying maximum randomness from a technique for randomness certification, which we call "expanding Bell inequalities"
Our technique allows one to take a bipartite Bell expression, known as the seed, and transform it into a multipartite Bell inequality tailored for randomness certification.
arXiv Detail & Related papers (2023-08-14T09:41:04Z) - Entanglement and Bell inequalities violation in $H\to ZZ$ with anomalous coupling [44.99833362998488]
We discuss entanglement and violation of Bell-type inequalities for a system of two $Z$ bosons produced in Higgs decays.
We find that a $ZZ$ state is entangled and violates the inequality for all values of the pair (anomalous) coupling constant.
arXiv Detail & Related papers (2023-07-25T13:44:31Z) - Is a spectrograph of hidden variables possible? [91.3755431537592]
"Spectrograph's Realism", and "Locality", are proven to be different, and both necessary, hypotheses to derive Bell's inequalities.
arXiv Detail & Related papers (2023-02-28T13:59:08Z) - An elegant proof of self-testing for multipartite Bell inequalities [0.0]
This work presents a simple and broadly applicable self-testing argument for N-partite correlation Bell inequalities with two binary outcome observables per party.
To showcase the versatility of our proof technique, we obtain self-testing statements for N party Mermin-Ardehali-Bei-Klyshko (MABK) and Werner-Wolf-Weinfurter-.Zukowski-Brukner (WWW.ZB) family of linear Bell inequalities.
arXiv Detail & Related papers (2022-02-14T18:00:50Z) - Quantum tops at the LHC: from entanglement to Bell inequalities [0.0]
We introduce a unique set of observables suitable for both measurements, and then perform the corresponding analyses.
We find that entanglement can be established at better than 5$sigma$ both at threshold as well as at high $p_T$ already in the LHC Run 2 dataset.
arXiv Detail & Related papers (2021-10-19T17:07:28Z) - Arbitrary Measurement dependence in tripartite non-locality [0.0]
We study the minimum degree of relaxation required to simulate violations of various well-known tripartite Bell inequalities.
Local deterministic models are also provided to achieve the violations of these Bell inequalities.
arXiv Detail & Related papers (2021-07-26T22:13:57Z) - Non-Boolean Hidden Variables model reproduces Quantum Mechanics'
predictions for Bell's experiment [91.3755431537592]
Theory aimed to violate Bell's inequalities must start by giving up Boolean logic.
"Hard" problem is to predict the time values when single particles are detected.
"Soft" problem is to explain the violation of Bell's inequalities within (non-Boolean) Local Realism.
arXiv Detail & Related papers (2020-05-20T21:46:35Z) - Using Randomness to decide among Locality, Realism and Ergodicity [91.3755431537592]
An experiment is proposed to find out, or at least to get an indication about, which one is false.
The results of such experiment would be important not only to the foundations of Quantum Mechanics.
arXiv Detail & Related papers (2020-01-06T19:26:32Z)
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.