Quantifying nonclassicality of mixed Fock states

• URL: http://arxiv.org/abs/2406.01717v4
• Date: Thu, 03 Oct 2024 16:20:59 GMT
• Title: Quantifying nonclassicality of mixed Fock states
• Authors: Spencer Rogers, Tommy Muth, Wenchao Ge,
• Abstract summary: Nonclassical states of bosonic modes are important resources for quantum-enhanced technologies. We present results of quantifying the nonclassicality of a bosonic mode in a mixed Fock state via the operational resource theory (ORT) measure.
• Score: 0.0
• License:
• Abstract: Nonclassical states of bosonic modes are important resources for quantum-enhanced technologies. Yet, quantifying nonclassicality of these states, in particular mixed states, can be a challenge. Here we present results of quantifying the nonclassicality of a bosonic mode in a mixed Fock state via the operational resource theory (ORT) measure [W. Ge, K. Jacobs, S. Asiri, M. Foss-Feig, and M. S. Zubairy, Phys. Rev. Res. 2, 023400 (2020)], which relates nonclassicality to metrological advantage. Generally speaking, evaluating a resource-theoretic measure for mixed states is challenging, since it involves finding a convex roof. However, we show that our problem can be reduced to a linear programming problem. By analyzing the results of numerical optimization, we are able to extract analytical results for the case where three or four neighboring Fock states have nonzero population. Interestingly, we find that such a mode can be in distinct phases, depending on the populations. Lastly, we demonstrate how our method is generalizable to density matrices of higher ranks. Our findings suggest a viable method for evaluating nonclassicality of arbitrary mixed bosonic states and potentially for solving other convex roof optimization problems.

Related papers

• Nonlocality under Jaynes-Cummings evolution: beyond pseudospin operators [44.99833362998488]
  We re-visit the generation and evolution of (Bell) nonlocality in hybrid scenarios whose dynamics is determined by the Jaynes-Cummings Hamiltonian. Recent results on the optimal Bell violation in qubit-qudit systems show that the nonlocality is much greater than previously estimated.
  arXiv  Detail & Related papers  (2024-10-14T16:01:23Z)
• On estimates of trace-norm distance between quantum Gaussian states [0.0]
  Estimates for the trace-norm distance between two quantum Gaussian states in terms of the mean vectors and covariance matrices were derived. In the present paper we obtain different estimates; our proof is based on a fidelity-like quantity which we call states overlap. They do not depend on number of modes and hence can be extended to the case of bosonic field with infinite number of modes.
  arXiv  Detail & Related papers  (2024-08-21T07:51:49Z)
• Pure State Inspired Lossless Post-selected Quantum Metrology of Mixed States [3.4840877804354236]
  We show that quantum Fisher information can be losslessly compressed into a subensemble with a much smaller number of samples. We find that if the parametric derivative of the density operator of a mixed state, vanishes on the support of the density matrix, lossless post-selection can be achieved. Our results are useful for realistic post-selected quantum metrology in the presence of decoherence.
  arXiv  Detail & Related papers  (2024-05-01T09:21:06Z)
• Quantifying nonclassicality and entanglement of Gaussian states [6.181008505226926]
  The robustness of nonclassicality or entanglement is demonstrated analytically for one-mode, two-mode Gaussain states and multimode symmetric Gaussian states. For squeezed thermal states, the nonclassicality is equal to the entanglement for the two-mode case, while they are far apart for multimode cases.
  arXiv  Detail & Related papers  (2023-09-21T06:37:52Z)
• On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources [51.243733928201024]
  We show that the proof of the generalised quantum Stein's lemma is not correct due to a gap in the argument leading to Lemma III.9. This puts into question a number of established results in the literature, in particular the reversibility of quantum entanglement.
  arXiv  Detail & Related papers  (2022-05-05T17:46:05Z)
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources [58.720142291102135]
  We show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit. We also consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations.
  arXiv  Detail & Related papers  (2022-04-07T11:49:54Z)
• Average-case Speedup for Product Formulas [69.68937033275746]
  Product formulas, or Trotterization, are the oldest and still remain an appealing method to simulate quantum systems. We prove that the Trotter error exhibits a qualitatively better scaling for the vast majority of input states. Our results open doors to the study of quantum algorithms in the average case.
  arXiv  Detail & Related papers  (2021-11-09T18:49:48Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Evaluating Single-mode Nonclassicality [0.0]
  We apply the measure to evaluate and categorize different classes of nonclassical states. We discover a class of states that can achieve the maximum nonclassicality in the limit of large mean number of excitations. We also discover that the nonclassicality of certain states can be greatly improved with a single-photon addition.
  arXiv  Detail & Related papers  (2020-06-30T11:31:18Z)
• Gaussian Process States: A data-driven representation of quantum many-body physics [59.7232780552418]
  We present a novel, non-parametric form for compactly representing entangled many-body quantum states. The state is found to be highly compact, systematically improvable and efficient to sample. It is also proven to be a universal approximator' for quantum states, able to capture any entangled many-body state with increasing data set size.
  arXiv  Detail & Related papers  (2020-02-27T15:54:44Z)

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.