High-precision estimation of the parameters in the reservoir via the two-level system

• URL: http://arxiv.org/abs/2105.02518v1
• Date: Thu, 6 May 2021 08:44:55 GMT
• Title: High-precision estimation of the parameters in the reservoir via the two-level system
• Authors: Mengmeng Luo (1), Wenxiao Liu (2), Yuetao Chen (1) and Shaoyan Gao (1) ((1) School of Physics, Xi'an Jiaotong University, P.R.China, (2) Department of Physics and Electronics, North China University of Water Resources and Electric Power, China)
• Abstract summary: We find entangled state and optimal superposition state are beneficial for parameter estimation with one-qubit probe. The phenomenon of quantum Fisher information return occurs when the detuning or the temperature is estimated.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A scheme is proposed to estimate the system and environmental parameter, the detuning, temperature and the squeezing strength with a high precision by the two-level atom system. It hasn't been reported that the squeezing strength estimation through quantum Fisher information. We find entangled state and optimal superposition state are beneficial for parameter estimation with one-qubit probe by calculating quantum Fisher information and fidelity. And the fidelity between initial and final states of the atom can be improved via the two-qubit probe. Moreover, the phenomenon of quantum Fisher information return occurs when the detuning or the temperature is estimated. Our work provides a basis for precision measurement technology and quantum information processing.

Related papers

• Fisher information rates in sequentially measured quantum systems [0.0]
  We consider the impact that temporal correlations in the measurement statistics can have on the achievable precision in a sequential metrological protocol. For a single quantum probe, we establish that it is the transitions between the measurement basis states that plays the most significant role in determining the precision.
  arXiv  Detail & Related papers  (2024-01-12T12:38:51Z)
• Finding the optimal probe state for multiparameter quantum metrology using conic programming [61.98670278625053]
  We present a conic programming framework that allows us to determine the optimal probe state for the corresponding precision bounds. We also apply our theory to analyze the canonical field sensing problem using entangled quantum probe states.
  arXiv  Detail & Related papers  (2024-01-11T12:47:29Z)
• Combining critical and quantum metrology [0.0]
  We introduce an approach combining two methodologies into a unified protocol applicable to closed and driven-dissipative systems. We provide analytical expressions for the quantum and classical Fisher information in such a setup, elucidating as well a straightforward measurement approach. We showcase these results by focusing on the squeezing Hamiltonian, which characterizes the thermodynamic limit of Dicke and Lipkin-Meshkov-Glick Hamiltonians.
  arXiv  Detail & Related papers  (2023-11-28T04:21:39Z)
• 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)
• Quantum multiparameter estimation with graph states [6.152619905686453]
  In the SU(2) dynamics, it is especially significant to achieve a simultaneous optimal multi parameter estimation. We propose a simultaneous multi parameter estimation scheme that investigates evolution in SU(N) dynamics. We prove that the graph state is the optimal state of quantum metrology, a set of optimal measurement basic can be found, and the precision limit of multi parameter estimation can attain the quantum Cram'er-Rao bound.
  arXiv  Detail & Related papers  (2023-06-05T00:50:24Z)
• Quantum Fisher Information for Different States and Processes in Quantum Chaotic Systems [77.34726150561087]
  We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix. We compare our results with earlier results for a local unitary transformation.
  arXiv  Detail & Related papers  (2023-04-04T09:28:19Z)
• Quantum parameter estimation with many-body fermionic systems and application to the Hall effect [0.0]
  We calculate the quantum Fisher information for a generic many-body fermionic system in a pure state depending on a parameter. We apply our findings to the quantum Hall effect, and evaluate the quantum Fisher information associated with the optimal measurement of the magnetic field.
  arXiv  Detail & Related papers  (2023-03-17T18:23:55Z)
• Quantum parameter estimation in a dissipative environment [44.23814225750129]
  We investigate the performance of quantum parameter estimation based on a qubit probe in a dissipative bosonic environment. It is found that (i) the non-Markovianity can effectively boost the estimation performance and (ii) the estimation precision can be improved by introducing a perpendicular probe-environment interaction.
  arXiv  Detail & Related papers  (2021-10-15T02:43:24Z)
• Quantum probes for universal gravity corrections [62.997667081978825]
  We review the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system. We evaluate the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure. Our results show that quantum probes are convenient resources, providing potential enhancement in precision.
  arXiv  Detail & Related papers  (2020-02-13T19:35:07Z)
• In and out of equilibrium quantum metrology with mean-field quantum criticality [68.8204255655161]
  We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
  arXiv  Detail & Related papers  (2020-01-09T19:20:42Z)

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.