Unbounded Sharing of Nonlocality Using Projective Measurements
- URL: http://arxiv.org/abs/2311.07977v1
- Date: Tue, 14 Nov 2023 08:09:16 GMT
- Title: Unbounded Sharing of Nonlocality Using Projective Measurements
- Authors: S. Sasmal, S. Kanjilal and A. K. Pan
- Abstract summary: A sharp projective measurement in one side of the Bell experiment destroys the entanglement of the shared state.
We introduce a local randomness-assisted projective measurement protocol, enabling the sharing of nonlocality by an arbitrary number of sequential observers.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: It is a common perception that a sharp projective measurement in one side of
the Bell experiment destroys the entanglement of the shared state, thereby
preventing the demonstration of sequential sharing of nonlocality. In contrast,
we introduce a local randomness-assisted projective measurement protocol,
enabling the sharing of nonlocality by an arbitrary number of sequential
observers (Bobs) with a single spatially separated party Alice. Subsequently, a
crucial feature of the interplay between the degrees of incompatibility of
observables of both parties is revealed, enabling the unbounded sharing of
nonlocality. Our findings, not only offer a new paradigm for understanding the
fundamental nature of incompatibility in demonstrating quantum nonlocality but
also pave a new path for various information processing tasks based on local
randomness-assisted projective measurement.
Related papers
- Sharing tripartite nonlocality sequentially using only projective measurements [5.8144139771394805]
We investigate the sharing of tripartite nonlocality using only projective measurements and classical randomness.
We find that using biased measurements does not increase the number of sequential observers sharing the standard tripartite nonlocality.
arXiv Detail & Related papers (2024-06-25T13:42:17Z) - Sharing Asymmetric Einstein-Podolsky-Rosen Steering with Projective Measurements [9.798839832137508]
Einstein-Podolsky-Rosen (EPR) steering exhibits distinct asymmetric characteristics.
EPR steering serves as the necessary quantum resource for one-sided device-independent quantum information tasks.
Our work deepens the understanding of the role of projective measurements in sharing quantum correlations.
arXiv Detail & Related papers (2024-05-10T05:46:51Z) - Sharing Bell nonlocality of bipartite high-dimensional pure states using
only projective measurements [15.304146645863584]
Bell nonlocality is the key quantum resource in some device-independent quantum information processing.
Unsharp measurements are widely used in sharing the nonlocality of an entangled state among several sequential observers.
We show that projective measurements are sufficient for sharing the Bell nonlocality of arbitrary high-dimensional pure bipartite states.
arXiv Detail & Related papers (2024-02-20T00:38:54Z) - Quantum Nonlocality: Multi-copy Resource Inter-convertibility & Their Asymptotic Inequivalence [0.0]
We present instances of quantum nonlocal correlations that are incomparable in the strongest sense.
Remarkably, these incomparable quantum correlations can be obtained even in the simplest Bell scenario.
Our result challenges the notion of a 'unique gold coin', often referred to as the'maximally resourceful state'
arXiv Detail & Related papers (2023-10-25T05:57:44Z) - Learning versus Refutation in Noninteractive Local Differential Privacy [133.80204506727526]
We study two basic statistical tasks in non-interactive local differential privacy (LDP): learning and refutation.
Our main result is a complete characterization of the sample complexity of PAC learning for non-interactive LDP protocols.
arXiv Detail & Related papers (2022-10-26T03:19:24Z) - Experimental demonstration of genuine tripartite nonlocality under
strict locality conditions [16.812051020169257]
Nonlocality captures one of the counterintuitive features of nature that defies classical intuition.
Recent investigations reveal that our physical world's nonlocality is at least tripartite.
We experimentally demonstrate such genuine tripartite nonlocality in a network under strict locality constraints.
arXiv Detail & Related papers (2022-03-02T06:08:19Z) - Experimentally determining the incompatibility of two qubit measurements [55.41644538483948]
We describe and realize an experimental procedure for assessing the incompatibility of two qubit measurements.
We demonstrate this fact in an optical setup, where the qubit states are encoded into the photons' polarization degrees of freedom.
arXiv Detail & Related papers (2021-12-15T19:01:44Z) - Single-photon nonlocality in quantum networks [55.41644538483948]
We show that the nonlocality of single-photon entangled states can nevertheless be revealed in a quantum network made only of beamsplitters and photodetectors.
Our results show that single-photon entanglement may constitute a promising solution to generate genuine network-nonlocal correlations useful for Bell-based quantum information protocols.
arXiv Detail & Related papers (2021-08-03T20:13:24Z) - Learning to Separate Clusters of Adversarial Representations for Robust
Adversarial Detection [50.03939695025513]
We propose a new probabilistic adversarial detector motivated by a recently introduced non-robust feature.
In this paper, we consider the non-robust features as a common property of adversarial examples, and we deduce it is possible to find a cluster in representation space corresponding to the property.
This idea leads us to probability estimate distribution of adversarial representations in a separate cluster, and leverage the distribution for a likelihood based adversarial detector.
arXiv Detail & Related papers (2020-12-07T07:21:18Z) - Log-Likelihood Ratio Minimizing Flows: Towards Robust and Quantifiable
Neural Distribution Alignment [52.02794488304448]
We propose a new distribution alignment method based on a log-likelihood ratio statistic and normalizing flows.
We experimentally verify that minimizing the resulting objective results in domain alignment that preserves the local structure of input domains.
arXiv Detail & Related papers (2020-03-26T22:10:04Z) - Almost-Matching-Exactly for Treatment Effect Estimation under Network
Interference [73.23326654892963]
We propose a matching method that recovers direct treatment effects from randomized experiments where units are connected in an observed network.
Our method matches units almost exactly on counts of unique subgraphs within their neighborhood graphs.
arXiv Detail & Related papers (2020-03-02T15:21:20Z)
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.