Minimal Tradeoff and Ultimate Precision Limit of Multiparameter Quantum Magnetometry under the Parallel Scheme

We establish general limits on how precise a parameter, e.g. frequency or the strength of a magnetic field, can be estimated with the aid of full and fast quantum control. We consider uncorrelated noisy evolutions of N qubits and show that fast control allows to fully restore the Heisenberg scaling (~1/N^2) for all rank-one Pauli noise except dephasing. For all other types of noise the asymptotic quantum enhancement is unavoidably limited to a constant-factor improvement over the standard quantum limit (~1/N) even when allowing for the full power of fast control. The latter holds both in the single-shot and infinitely-many repetitions scenarios. However, even in this case allowing for fast quantum control helps to increase the improvement factor. Furthermore, for frequency estimation with finite resource we show how a parallel scheme utilizing any fixed number of entangled qubits but no fast quantum control can be outperformed by a simple, easily implementable, sequential scheme which only requires entanglement between one sensing and one auxiliary qubit.

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Nonlinear atom interferometer surpasses classical precision limit

Nature ◽

10.1038/nature08919 ◽

2010 ◽

Vol 464 (7292) ◽

pp. 1165-1169 ◽

Cited By ~ 593

Author(s):

C. Gross ◽

T. Zibold ◽

E. Nicklas ◽

J. Estève ◽

M. K. Oberthaler

Keyword(s):

Atom Interferometer ◽

Precision Limit

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A culling switching parallel scheme for an SEIADR epidemic model

2017 IEEE International Conference on Cybernetics and Intelligent Systems (CIS) and IEEE Conference on Robotics, Automation and Mechatronics (RAM) ◽

10.1109/iccis.2017.8274744 ◽

2017 ◽

Author(s):

M. De la Sen ◽

R. Nistal ◽

S. Alonso-Quesada ◽

A. Ibeas

Keyword(s):

Epidemic Model ◽

Parallel Scheme

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Comparative between Ammonia Ion Selective Electrode and Dye Binding Method to study effect of Processing Methods on Protein Content of Plain Yogurt

Research Journal of Pharmacy and Technology ◽

10.52711/0974-360x.2021.01082 ◽

2021 ◽

pp. 6257-6261

Author(s):

Heba Kashour ◽

Lina Soubh

Keyword(s):

Heat Treatment ◽

Protein Content ◽

Limit Of Detection ◽

Ion Selective Electrode ◽

Selective Electrode ◽

Limit Of Quantitation ◽

Precision Limit ◽

Dye Binding ◽

Orange G ◽

Electrode Method

In this study, two analytical methods were used to determinate the protein, the ammonia ion selective electrode method and dye binding method using orange G and the spectrophotometer at λmax 478 nm by determining the linearity, accuracy, precision, limit of detection and limit of quantitation of each. In comparison, the dye binding method was chosen for its accuracy, repeatability, sensitivity (LOD, LOQ) and speed of performance. After that, it was applied to samples of prepared plain yogurt to study effect of different properties (source, heat treatment and type) of used milk on protein content of plain yogurt.

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JaCk-SAT: A New Parallel Scheme to Solve the Satisfiability Problem (SAT) Based on Join-and-Check

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-540-68111-3_27 ◽

2008 ◽

pp. 249-258 ◽

Cited By ~ 6

Author(s):

Daniel Singer ◽

Anthony Monnet

Keyword(s):

Satisfiability Problem ◽

Parallel Scheme

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Distributed Robots Path/Tasks Planning on Fetch Scheduling

Advances in Computational Intelligence and Robotics - Handbook of Research on Advancements in Robotics and Mechatronics ◽

10.4018/978-1-4666-7387-8.ch026 ◽

2015 ◽

pp. 818-850

Author(s):

Nilda G. Villanueva-Chacón ◽

Edgar A. Martínez-García

Keyword(s):

Mathematical Formulation ◽

Directional Derivatives ◽

Just In Time ◽

Wheeled Mobile Robots ◽

Control Laws ◽

Parallel Scheme ◽

Concurrent Tasks ◽

Robot Systems ◽

Distributed Robots ◽

Robotic Tasks

A highly concurrent task-planner for distributed multi-robot systems in dynamical industrial feed-lines is presented in this chapter. The system deals with two main issues: a) a path-planning model and b) a robotic-tasks scheduler. A set of kinematic control laws based on directional derivatives model the dynamical robots interaction. Distributed wheeled mobile robots perform the execution of autonomous tasks concurrently and synchronized just in time. A planner model for distributed tasks to autonomously reconfigure and synchronize online change priority missions by the robotic primitives—sense, plan, and act—are proposed. The robotic tasks concern carry-and-fetch to different goals, and dispatching materials. Numerical simulation of mathematical formulation and real experiments illustrate the parallel computing capability and the distributed robot's behavior. Results depict robots dealing with highly concurrent tasks and dynamical events through a parallel scheme.

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