Are temporal quantum correlations generally non-monogamous?

• URL: http://arxiv.org/abs/2011.08437v1
• Date: Sun, 15 Nov 2020 21:07:56 GMT
• Title: Are temporal quantum correlations generally non-monogamous?
• Authors: Marcin Nowakowski
• Abstract summary: We show that a particular entangled history, which can be associated with a quantum propagator, is monogamous to conserve its consistency throughout time. Yet evolving systems violate monogamous Bell-like multi-time inequalities.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper we focus on the underlying quantum structure of temporal correlations and show their peculiar nature which differentiate them from spatial quantum correlations. We show rigorously that a particular entangled history, which can be associated with a quantum propagator, is monogamous to conserve its consistency throughout time. Yet evolving systems violate monogamous Bell-like multi-time inequalities. This dichotomy, being a novel feature of temporal correlations, has its roots in the measurement process itself which is discussed by means of the bundles of entangled histories. We introduce and discuss a concept of a probabilistic mixture of quantum processes by means of which we clarify why the spatial-like Bell-type monogamous inequalities are further violated. We prove that Tsirelson bound on temporal Bell-like inequalities can be derived from the entangled histories approach and as a generalization, we derive the quantum bound for multi-time Bell-like inequalities. It is also pointed out that what mimics violation of monogamy of temporal entanglement is actually just a kind of polyamory in time but monogamy of entanglement for a particular evolution still holds.

Related papers

• Temporal Bell inequalities in a many-body system [0.0]
  We show that a temporal Clauser-Horne inequality for two spins is violated for nonzero time interval between the measurements if the two measured parties are connected by a spin chain. Our result suggests that, as expected in a many-body setup, the Lieb-Robinson bound substitutes the speed of light as the fundamental limit for the spreading of information.
  arXiv  Detail & Related papers  (2024-09-25T19:00:47Z)
• Entanglement of temporal sections as quantum histories and their quantum correlation bounds [0.0]
  We consider quantum history bundles based on the temporal manifold and show the source of violation of monogamous temporal Bell-like inequalities. As a generalization of temporal Bell-like inequalities, we derive the quantum bound for multi-time Bell-like inequalities.
  arXiv  Detail & Related papers  (2024-01-25T08:17:22Z)
• Unmasking the Polygamous Nature of Quantum Nonlocality [0.4523163728236145]
  Quantum mechanics imposes limits on the statistics of certain observables. In the simplest case of three observers, it has been shown that if two observers violate a Bell inequality then none of them can violate any Bell inequality with the third observer. Here we show that the Bell monogamy does not hold universally and that in fact the only monogamous situation exists for only three observers.
  arXiv  Detail & Related papers  (2023-12-07T15:44:24Z)
• Causal classification of spatiotemporal quantum correlations [0.0]
  We show that certain quantum correlations possess an intrinsic arrow of time, and enable classification of general quantum correlations across space-time. Our results indicate that certain quantum correlations possess an intrinsic arrow of time, and enable classification of general quantum correlations across space-time based on their (in)compatibility with various underlying causal structures.
  arXiv  Detail & Related papers  (2023-06-15T17:59:18Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Optimal bounds on the speed of subspace evolution [77.34726150561087]
  In contrast to the basic Mandelstam-Tamm inequality, we are concerned with a subspace subject to the Schroedinger evolution. By using the concept of maximal angle between subspaces we derive optimal bounds on the speed of such a subspace evolution. These bounds may be viewed as further generalizations of the Mandelstam-Tamm inequality.
  arXiv  Detail & Related papers  (2021-11-10T13:32:15Z)
• Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
  We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space. We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
  arXiv  Detail & Related papers  (2021-07-02T09:17:55Z)
• Quantum speed limits for time evolution of a system subspace [77.34726150561087]
  In the present work, we are concerned not with a single state but with a whole (possibly infinite-dimensional) subspace of the system states that are subject to the Schroedinger evolution. We derive an optimal estimate on the speed of such a subspace evolution that may be viewed as a natural generalization of the Fleming bound.
  arXiv  Detail & Related papers  (2020-11-05T12:13:18Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)
• 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)
• There is only one time [110.83289076967895]
  We draw a picture of physical systems that allows us to recognize what is this thing called "time" We derive the Schr"odinger equation in the first case, and the Hamilton equations of motion in the second one.
  arXiv  Detail & Related papers  (2020-06-22T09:54:46Z)

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.