Ultimate precision of multi-parameter quantum magnetometry under the parallel scheme

• URL: http://arxiv.org/abs/2001.02416v1
• Date: Wed, 8 Jan 2020 08:50:28 GMT
• Title: Ultimate precision of multi-parameter quantum magnetometry under the parallel scheme
• Authors: Zhibo Hou, Hongzhen Chen, Liqiang Liu, Zhao Zhang, Guo-Yong Xiang, Chuan-Feng Li, Guang-Can Guo, Haidong Yuan
• Abstract summary: We present the ultimate lower bound for the sum of arbitrarily weighted variances in the estimation of all three components of a magnetic field under the parallel scheme. The obtained precision sets the ultimate limit for the multi- parameter quantum magnetometry under the parallel scheme. Our approach also provides a way to characterize the tradeoff among the precisions of multiple parameters that arise from the constraints on the probe states.
• Score: 3.1752888579855276
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The precise measurement of a magnetic field is one of the most fundamental and important tasks in quantum metrology. Although extensive studies on quantum magnetometry have been carried out over past decades, the ultimate precision that can be achieved for the estimation of all three components of a magnetic field with entangled probe states under the parallel scheme remains unknown. Here we present the ultimate lower bound for the sum of arbitrarily weighted variances in the estimation of all three components of a magnetic field under the parallel scheme and show that this lower bound can be achieved for sufficiently large N. The optimal entangled probe state that achieves the ultimate precision is also explicitly constructed. The obtained precision sets the ultimate limit for the multi-parameter quantum magnetometry under the parallel scheme, which is of fundamental interest and importance in quantum metrology. Our approach also provides a way to characterize the tradeoff among the precisions of multiple parameters that arise from the constraints on the probe states.

Related papers

• 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)
• On the optimality of the radical-pair quantum compass [0.0]
  We investigate the limits of inferring geomagnetic field directions from radical-pair spin dynamics. We probe the quantum Fisher information and associated Cram'er--Rao bound in spin models of realistic complexity. Overall, the comparison provides insight into processes honed by nature to realise optimality.
  arXiv  Detail & Related papers  (2024-01-05T18:01:47Z)
• Quantum Vector DC Magnetometry via Selective Phase Accumulation [0.0]
  We propose a general protocol for quantum vector DC magnetometry via selective phase accumulation of both non-entangled and entangled quantum probes. If the input state is an entangled state such as the Greenberger-Horne-Zeilinger state, the measurement precisions of all three components may approach the Heisenberg limit.
  arXiv  Detail & Related papers  (2023-08-04T01:29:45Z)
• Variational quantum metrology for multiparameter estimation under dephasing noise [0.8594140167290099]
  We present a hybrid quantum-classical variational scheme to enhance precision in quantum metrology. We discuss specific applications to 3D magnetic field sensing under several dephasing noise modes.
  arXiv  Detail & Related papers  (2023-05-15T01:09:58Z)
• Tight Cram\'{e}r-Rao type bounds for multiparameter quantum metrology through conic programming [61.98670278625053]
  It is paramount to have practical measurement strategies that can estimate incompatible parameters with best precisions possible. Here, we give a concrete way to find uncorrelated measurement strategies with optimal precisions. We show numerically that there is a strict gap between the previous efficiently computable bounds and the ultimate precision bound.
  arXiv  Detail & Related papers  (2022-09-12T13:06:48Z)
• Quantum circuits for the preparation of spin eigenfunctions on quantum computers [63.52264764099532]
  Hamiltonian symmetries are an important instrument to classify relevant many-particle wavefunctions. This work presents quantum circuits for the exact and approximate preparation of total spin eigenfunctions on quantum computers.
  arXiv  Detail & Related papers  (2022-02-19T00:21:46Z)
• Quantum probes for the characterization of nonlinear media [50.591267188664666]
  We investigate how squeezed probes may improve individual and joint estimation of the nonlinear coupling $tildelambda$ and of the nonlinearity order $zeta$. We conclude that quantum probes represent a resource to enhance precision in the characterization of nonlinear media, and foresee potential applications with current technology.
  arXiv  Detail & Related papers  (2021-09-16T15:40:36Z)
• Surpassing the Energy Resolution Limit with ferromagnetic torque sensors [55.41644538483948]
  We evaluate the optimal magnetic field resolution taking into account the thermomechanical noise and the mechanical detection noise at the standard quantum limit. We find that the Energy Resolution Limit (ERL), pointed out in recent literature, can be surpassed by many orders of magnitude.
  arXiv  Detail & Related papers  (2021-04-29T15:44:12Z)
• Estimation of pure quantum states in high dimension at the limit of quantum accuracy through complex optimization and statistical inference [0.0]
  Quantum tomography has become a key tool for the assessment of quantum states, processes, and devices. In the case of mixed states of a single 2-dimensional quantum system adaptive methods have been recently introduced that achieve the theoretical accuracy limit deduced by Hayashi and Gill and Massar. Here we present an adaptive tomographic method and show through numerical simulations, that it is difficult to approach the fundamental accuracy of pure quantum states in high dimension.
  arXiv  Detail & Related papers  (2020-07-02T21:33:16Z)
• Phase Diagram of the Dynamics of a Precessing Qubit under Quantum Measurement [0.0]
  We study the phase transitions induced by sequentially measuring a single qubit under an external transverse magnetic field. This work deepens the understanding of phase transitions induced by quantum measurement, and may provide a new method to characterize and steer the quantum evolution.
  arXiv  Detail & Related papers  (2020-03-20T00:38:39Z)
• 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)

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.