Uncertainty, von Neumann entropy and squeezing in bipartite state of two-level atoms

• URL: http://arxiv.org/abs/2502.05585v1
• Date: Sat, 08 Feb 2025 14:22:28 GMT
• Title: Uncertainty, von Neumann entropy and squeezing in bipartite state of two-level atoms
• Authors: Ram Narayan Deb,
• Abstract summary: We deal with uncertainties, von Neumann entropy and squeezing in entangled bipartite pure state of two-level atoms. We observe that when the bipartite state is entangled, though the von Neumann entropy of the composite state is less than those of the subsystems.
• Score: 0.0
• License:
• Abstract: We provide a generalized treatment of uncertainties, von Neumann entropy and squeezing in entangled bipartite pure state of two-level atoms. We observe that when the bipartite state is entangled, though the von Neumann entropy of the composite state is less than those of the subsystems, as first recognized by Schr$\ddot{o}$dinger, but the uncertainty of the composite state is greater than those of the subsystems for certain ranges of the superposing constants of the quantum state. This is in contradiction with the prevailing consensus that more is the entropy, more is the uncertainty. Hence, for those ranges of the superposing constants of the quantum state though there is violation of the entropic inequalities, the subsystems exhibit less disorder than the system as a whole. We also provide a generalized relationship between the von Neumann entropy of the subsystems and the uncertainty, spin squeezing and spectroscopic squeezing, used in the context of Ramsey spectroscopy, of the composite state. This gives a generalized operational measure of von Neumann entropy of the entangled subsystems of two-level atoms.

Related papers

• Continuity of entropies via integral representations [16.044444452278064]
  We show that Frenkel's integral representation of the quantum relative entropy provides a natural framework to derive continuity bounds for quantum information measures. We obtain a number of results: (1) a tight continuity relation for the conditional entropy in the case where the two states have equal marginals on the conditioning system, resolving a conjecture by Wilde in this special case; (2) a stronger version of the Fannes-Audenaert inequality on quantum entropy; and (3) better estimates on the quantum capacity of approximately degradable channels.
  arXiv  Detail & Related papers  (2024-08-27T17:44:52Z)
• Continuity bounds for quantum entropies arising from a fundamental entropic inequality [9.23607423080658]
  We establish a tight upper bound for the difference in von Neumann entropies between two quantum states, $rho_1$ and $rho$. This yields a novel entropic inequality that implies the well-known Audenaert-Fannes (AF) inequality.
  arXiv  Detail & Related papers  (2024-08-27T15:59:38Z)
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation [15.907303576427644]
  Entanglement and uncertainty relation are two focuses of quantum theory. We relate entanglement sharing to the entropic uncertainty relation in a $(dtimes d)$-dimensional system via weak measurements with different pointers.
  arXiv  Detail & Related papers  (2023-04-12T12:10:07Z)
• Linear entropy fails to predict entanglement behavior in low-density fermionic systems [0.0]
  Entanglement is a fundamental ingredient for quantum technologies and condensed matter systems are among the good candidates for quantum devices. Here we investigate both linear and von Neumann entropies for quantifying entanglement in homogeneous, superlattice and disordered Hubbard chains.
  arXiv  Detail & Related papers  (2023-03-14T17:07:20Z)
• Quantum Entropy and Central Limit Theorem [0.0]
  We study discrete-variable quantum systems based on qudits. We establish a central limit theorem, based on iterating the convolution of a zero-mean quantum state. We elaborate on two examples: the DV beam splitter and the DV amplifier.
  arXiv  Detail & Related papers  (2023-02-15T18:24:15Z)
• Asymptotic Equipartition Theorems in von Neumann algebras [24.1712628013996]
  We show that the smooth max entropy of i.i.d. states on a von Neumann algebra has an rate given by the quantum relative entropy. Our AEP not only applies to states, but also to quantum channels with appropriate restrictions.
  arXiv  Detail & Related papers  (2022-12-30T13:42:35Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• A new entanglement measure based dual entropy [7.95085289592294]
  We define $St$-entropy entanglement based on von Neumann entropy and its complementary dual. We prove a new type of entanglement inequality in terms of $St$-entropy entanglement for quantum entangled networks.
  arXiv  Detail & Related papers  (2022-04-15T10:08:12Z)
• Catalytic Transformations of Pure Entangled States [62.997667081978825]
  Entanglement entropy is the von Neumann entropy of quantum entanglement of pure states. The relation between entanglement entropy and entanglement distillation has been known only for the setting, and the meaning of entanglement entropy in the single-copy regime has so far remained open. Our results imply that entanglement entropy quantifies the amount of entanglement available in a bipartite pure state to be used for quantum information processing, giving results an operational meaning also in entangled single-copy setup.
  arXiv  Detail & Related papers  (2021-02-22T16:05:01Z)
• Expectation Synchronization Synthesis in Non-Markovian Open Quantum Systems [15.285806487845036]
  We investigate the problem of engineering synchronization in non-Markovian quantum systems. For two homogenous subsystems, synchronization can always be synthesized without designing direct Hamiltonian coupling. System parameters are explicitly designed to achieve quantum synchronization.
  arXiv  Detail & Related papers  (2021-01-04T08:46:25Z)
• Von Neumann entropy in a dispersive cavity [0.0]
  We study the von Neumann entropy of the partial trace of a system of two two-level atoms (qubits) in a dispersive cavity. We find a close relationship between this von Neumann entropy and the spin squeezing of the system.
  arXiv  Detail & Related papers  (2020-12-10T12:25:56Z)

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.