Quantum speed limit in quantum sensing

Abstract

Quantum sensors capitalize on advanced control sequences for maximizing sensitivity and precision. However, protocols are not usually optimized for temporal resolution. Here, we establish the limits for time-resolved sensing of dynamical signals using qubit probes. We show that the best possible time resolution is closely related to the quantum speed limit (QSL), which describes the minimum time needed to transform between basis states. We further show that a composite control sequence consisting of two phase-shifted pulses reaches the QSL. Practical implementation is discussed based on the example of the spin-1 qutrit of a nitrogen-vacancy (NV) center in diamond.

6 pages and 6 pages supporting information

References in corpus (16)

• Quantum sensing
• The nitrogen-vacancy colour centre in diamond
• High-sensitivity diamond magnetometer with nanoscale resolution
• Optical magnetic detection of single-neuron action potentials using quantum defects in diamond
• Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
• Enhancing the charging power of quantum batteries
• Optimal Control at the Quantum Speed Limit
• The fundamental limit on the rate of quantum dynamics: the unified bound is tight
• Time- and spatially-resolved magnetization dynamics driven by spin-orbit torques
• Nanometre-scale probing of spin waves using single electron spins
• Quantum speed limit for arbitrary initial states
• Diamond surface engineering for molecular sensing with nitrogen-vacancy centers
• Nanodiamond quantum sensors reveal temperature variation associated to hippocampal neurons firing
• Quantum Speed Limit for States with a Bounded Energy Spectrum
• Spatiotemporal Mapping of Photocurrent in a Monolayer Semiconductor Using a Diamond Quantum Sensor
• Spatially resolved detection of complex ferromagnetic dynamics using optically detected NV spins

Cited by in corpus (10)

• Review: Quantum Metrology and Sensing with Many-Body Systems
• Quantum magnetometry of transient signals with a time resolution of 1.1 nanoseconds
• Family of Exact and Inexact Quantum Speed Limits for Completely Positive and Trace-Preserving Dynamics
• Engineering tunable decoherence-free subspaces with collective atom-cavity interactions
• Machine learning non-Markovian two-level quantum noise spectroscopy
• Lindblad dynamics of open multi-mode bosonic systems: Algebra of bilinear superoperators, exceptional points and speed of evolution
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Application of Optimal Control to Time-Resolution Protocol for Quantum Sensing
• The temporal resolution limit in quantum sensing
• Systems that saturate the Margolus-Levitin quantum speed limit