Introduces axiomatic total t-anticoherence (non-decreasing under SU(2)-covariant channels), quantum t-anticoherence (resource monotone coinciding on pure states), and classical difference, with constructions from purity, Hilbert-Schmidt distance, and multipoles.
Butterfly Echo Protocol for Axis-Agnostic Heisenberg-Limited Metrology
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The extreme sensitivity of chaotic systems to external perturbations makes them natural candidates for sensing applications. We propose a single-shot echo-based protocol for estimating small rotations about an unknown axis that leverages random symmetric probe states prepared via chaotic dynamics. In contrast to previous protocols for this axis-agnostic rotation sensing problem that depend on difficult-to-prepare anticoherent states, the random probe states used in our protocol can be prepared via constant-depth chaotic circuits composed of random one-axis twisting pulses. Further, the signal of interest can be extracted simply by measuring the total spin polarization. We demonstrate analytically that our protocol achieves Heisenberg scaling relative to an arbitrary rotation axis that need not be a priori known. We also investigate the effects of collective and single-particle dephasing in our protocol using analytical and numerical tools. While the requirements on dephasing rates to maintain Heisenberg sensitivity are strict, they are achievable in near-term experiments, for instance, in magnetometric rotosensing with high-spin lanthanide atoms such as dysprosium-164.
fields
quant-ph 3years
2026 3representative citing papers
Analytical second-quantized treatment shows sub-shot-noise atom interferometry requires balancing quasi-Bragg and velocity-selective regimes, with partial mitigation via input-state optimization.
A review of time-reversal and interaction-based readout in cavity QED for quantum metrology, covering SATIN, scrambling-enhanced metrology, and related schemes.
citing papers explorer
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Total, quantum, and classical measures of anticoherence for mixed spin states
Introduces axiomatic total t-anticoherence (non-decreasing under SU(2)-covariant channels), quantum t-anticoherence (resource monotone coinciding on pure states), and classical difference, with constructions from purity, Hilbert-Schmidt distance, and multipoles.
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Balancing Quasi-Bragg Regime and Velocity Selectivity in Quantum-Enhanced Atom Interferometry
Analytical second-quantized treatment shows sub-shot-noise atom interferometry requires balancing quasi-Bragg and velocity-selective regimes, with partial mitigation via input-state optimization.
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Time-Reversal and Reversible Dynamics in Cavity QED for Quantum Metrology
A review of time-reversal and interaction-based readout in cavity QED for quantum metrology, covering SATIN, scrambling-enhanced metrology, and related schemes.