Macroscopically nonlocal quantum correlations

• URL: http://arxiv.org/abs/2104.03988v2
• Date: Tue, 21 Sep 2021 10:52:36 GMT
• Title: Macroscopically nonlocal quantum correlations
• Authors: Miguel Gallego and Borivoje Daki\'c
• Abstract summary: coarse-graining of quantum correlations leads to classical correlations in the macroscopic limit. We find that the Hilbert space structure of quantum theory can be preserved in the macroscopic limit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It is usually believed that coarse-graining of quantum correlations leads to classical correlations in the macroscopic limit. Such a principle, known as macroscopic locality, has been proved for correlations arising from independent and identically distributed (IID) entangled pairs. In this letter we consider the generic (non-IID) scenario. We find that the Hilbert space structure of quantum theory can be preserved in the macroscopic limit. This leads directly to a Bell violation for coarse-grained collective measurements, thus breaking the principle of macroscopic locality.

Related papers

• Distributed Quantum Hypothesis Testing under Zero-rate Communication Constraints [14.29947046463964]
  We study a distributed binary hypothesis testing problem to infer a bipartite quantum state shared between two remote parties. As our main contribution, we derive an efficiently computable single-letter formula for the Stein's exponent of this problem. As a key tool for proving the converse direction of our results, we develop a quantum version of the blowing-up lemma.
  arXiv  Detail & Related papers  (2024-10-11T16:03:10Z)
• Quantum Causal Inference with Extremely Light Touch [0.0]
  We give an explicit quantum causal inference scheme using quantum observations alone. We derive a closed-form expression for the space-time pseudo-density matrix associated with many times and qubits. We prove that if there is no signalling between two subsystems, the associated reduced state of the pseudo-density matrix cannot have negativity.
  arXiv  Detail & Related papers  (2023-03-19T02:59:05Z)
• Upper Bounds on the Distillable Randomness of Bipartite Quantum States [15.208790082352351]
  distillable randomness of a bipartite quantum state is an information-theoretic quantity. We prove measures of classical correlations and prove a number of their properties. We then further bound these measures from above by some that are efficiently computable by means of semi-definite programming.
  arXiv  Detail & Related papers  (2022-12-18T12:06:25Z)
• From no-signalling to quantum states [0.0]
  Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. We suggest a natural generalisation of no-signalling in the form of no-disturbance to dilated systems.
  arXiv  Detail & Related papers  (2022-04-25T07:06:17Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems [0.0]
  It was originally an open question as to whether (and how) such quantum correlations could occur on a macroscopic scale. We first review work relating to higher spin measurements which revealed that macroscopic quantum states could exhibit Bell correlations. We next review correlations for macroscopic superposition states, and examine predictions for the violation of Leggett-Garg inequalities for dynamical quantum systems.
  arXiv  Detail & Related papers  (2021-12-13T09:14:37Z)
• Quantum concentration inequalities [12.56413718364189]
  We establish transportation cost inequalities (TCI) with respect to the quantum Wasserstein distance. We prove Gibbs states of commuting Hamiltonians on arbitrary hypergraphs $H=(V,E)$ satisfy a TCI with constant scaling as $O(|V|)$. We argue that the temperature range for which the TCI holds can be enlarged by relating it to recently established modified logarithmic Sobolev inequalities.
  arXiv  Detail & Related papers  (2021-06-30T05:44:12Z)
• Quantum Bell inequalities from Information Causality -- tight for Macroscopic Locality [0.34771439623170125]
  In a Bell test, the set of observed probability distributions complying with the principle of local realism is fully characterized by Bell inequalities. We present a family of inequalities, which approximate the set of quantum correlations in Bell scenarios where the number of settings or outcomes can be arbitrary.
  arXiv  Detail & Related papers  (2021-03-08T19:36:13Z)
• Almost synchronous quantum correlations [7.716156977428555]
  The study of quantum correlation sets was initiated by Tsirelson in the 1980s and originally motivated by questions in the foundations of quantum mechanics. Synchronous correlation sets introduced in [Paulsen et. al, JFA 2016] are a subclass of correlations that has proven particularly useful to study and arises naturally in applications.
  arXiv  Detail & Related papers  (2021-03-03T15:26:32Z)
• The principle of majorization: application to random quantum circuits [68.8204255655161]
  Three classes of circuits were considered: (i) universal, (ii) classically simulatable, and (iii) neither universal nor classically simulatable. We verified that all the families of circuits satisfy on average the principle of majorization. Clear differences appear in the fluctuations of the Lorenz curves associated to states.
  arXiv  Detail & Related papers  (2021-02-19T16:07:09Z)
• Monogamy and trade-off relations for correlated quantum coherence [0.0]
  We study the monogamy properties of the correlated coherence for the l 1 -norm and relative entropy measures of coherence. We show that the correlated coherence is monogamous for tripartite pure quantum systems.
  arXiv  Detail & Related papers  (2020-06-24T20:45:36Z)

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.