Nonlocality and entropic uncertainty relations in neutrino oscillations
- URL: http://arxiv.org/abs/2206.13218v1
- Date: Mon, 27 Jun 2022 12:11:17 GMT
- Title: Nonlocality and entropic uncertainty relations in neutrino oscillations
- Authors: Massimo Blasone, Silvio De Siena, Cristina Matrella
- Abstract summary: We show that uncertainty and the Non-local Advantage of Quantum Coherence are anti-correlated.
We also explore the hierarchy among three different definitions of NAQC, those based on the l1-norm, relative entropy and skew information coherence measures, and we find that the coherence content detected by the l1-norm based NAQC overcomes the other two.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Using the wave-packet approach to neutrino oscillations, we analyze
Quantum-Memory-Assisted Entropic Uncertainty Relations and show that
uncertainty and the Non-local Advantage of Quantum Coherence are
anti-correlated. Furthermore, we explore the hierarchy among three different
definitions of NAQC, those based on the l1-norm, relative entropy and skew
information coherence measures, and we find that the coherence content detected
by the l1-norm based NAQC overcomes the other two. The connection between
QMA-EUR and NAQC could provide a better understanding of the physical meaning
of the results so far obtained, and suggest a their extension to quantum field
theory.
Related papers
- Observing tight triple uncertainty relations in two-qubit systems [21.034105385856765]
We demonstrate the uncertainty relations in two-qubit systems involving three physical components with the tight constant $2/sqrt3$.
Our results provide a new insight into understanding the uncertainty relations with multiple observables and may motivate more innovative applications in quantum information science.
arXiv Detail & Related papers (2024-10-08T11:24:24Z) - Coherence-mixedness trade-offs [2.4940844507983875]
We show that quantum coherence is severely restricted by environmental noise in general quantum processing.
We derive basis-independent constraints on the attainable quantum coherence imposed by the mixedness of a quantum state.
arXiv Detail & Related papers (2024-05-23T09:07:46Z) - Scaling of quantum Fisher information for quantum exceptional point sensors [18.33055905849827]
In recent years, significant progress has been made in utilizing the divergence of spectrum response rate at the exceptional point (EP) for sensing in classical systems.
For a quantum EP sensor, an important issue is the relation between the order of the quantum EP and the scaling of quantum Fisher information (QFI)
arXiv Detail & Related papers (2024-04-04T20:47:54Z) - Quantification of Entanglement and Coherence with Purity Detection [16.01598003770752]
Entanglement and coherence are fundamental properties of quantum systems, promising to power near future quantum technologies.
Here, we demonstrate quantitative bounds to operationally useful entanglement and coherence.
Our research offers an efficient means of verifying large-scale quantum information processing.
arXiv Detail & Related papers (2023-08-14T11:03:40Z) - Trade-off relations of quantum resource theory in neutrino oscillations [9.036748351752362]
The measure of quantumness in experimentally observed neutrino oscillations (NOs) is studied via quantum resource theory (QRT)
Here, we focus on the trade-off relations of QRT in the three-flavor NOs, based on Bell-type violations, first-order coherence and intrinsic concurrence, and the relative entropy of coherence.
The trade-off relations of QRT provide a method for studying how the quantum resources convert and distribute in NOs, which might inspire the future applications in quantum information processing using neutrinos.
arXiv Detail & Related papers (2022-12-19T09:38:13Z) - Kirkwood-Dirac quasiprobability approach to the statistics of
incompatible observables [0.41232474244672235]
We show how the KDQ naturally underpins and unifies quantum correlators, quantum currents, Loschmidt echoes, and weak values.
We provide novel theoretical and experimental perspectives by discussing a wide variety of schemes to access the KDQ and its non-classicality features.
arXiv Detail & Related papers (2022-06-23T15:38:53Z) - A Convergence Theory for Over-parameterized Variational Quantum
Eigensolvers [21.72347971869391]
The Variational Quantum Eigensolver (VQE) is a promising candidate for quantum applications on near-term Noisy Intermediate-Scale Quantum (NISQ) computers.
We provide the first rigorous analysis of the convergence of VQEs in the over- parameterization regime.
arXiv Detail & Related papers (2022-05-25T04:06:50Z) - Experimental investigation of quantum uncertainty relations with
classical shadows [7.675613458661457]
We experimentally investigate quantum uncertainty relations construed with relative entropy of coherence.
We prepare a family of quantum states whose purity can be fully controlled.
Our results indicate the tightness of quantum coherence lower bounds dependents on the reference bases as well as the purity of quantum state.
arXiv Detail & Related papers (2022-02-14T00:26:31Z) - Quantum Causal Inference in the Presence of Hidden Common Causes: an
Entropic Approach [34.77250498401055]
We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles.
We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
arXiv Detail & Related papers (2021-04-24T22:45:50Z) - Using Quantum Metrological Bounds in Quantum Error Correction: A Simple
Proof of the Approximate Eastin-Knill Theorem [77.34726150561087]
We present a proof of the approximate Eastin-Knill theorem, which connects the quality of a quantum error-correcting code with its ability to achieve a universal set of logical gates.
Our derivation employs powerful bounds on the quantum Fisher information in generic quantum metrological protocols.
arXiv Detail & Related papers (2020-04-24T17:58:10Z) - Quantifying quantum non-Markovianity based on quantum coherence via skew
information [1.8969868190153274]
We propose a non-Markovianity measure for open quantum processes.
We find that it is equivalent to the three previous measures of non-Markovianity for phase damping and amplitude damping channels.
We also use the modified Tsallis relative $alpha$ entropy of coherence to detect the non-Markovianity of dynamics of quantum open systems.
arXiv Detail & Related papers (2020-01-05T15:37:15Z)
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.