Linear dependence among the diagonal components of Hamiltonian derivatives creates a slow parameter direction with O(t^0) scaling, obstructing simultaneous t^{-2} multiparameter quantum estimation.
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Covariance matrices for finite-dimensional DFT-related position-momentum pairs are fully characterized via unitary invariants, convex geometry, and SDP, yielding extremal states and application bounds.
Nonlinear interactions in discrete time crystals increase the system-size scaling exponent of quantum Fisher information approximately linearly with nonlinearity strength, enhancing sensing precision while preserving quadratic time scaling.
General probe-environment correlations enable non-completely positive encodings that surpass the thermal-state bound in quantum thermometry precision.
Stark-localized probes with exponentially graded potentials V_j = e^{a j} deliver exponentially scaling quantum Fisher information for weak-field sensing in equilibrium and non-equilibrium regimes.
Detector distinguishability creates quantum geometry while a consistency functional built from deformation costs and symmetry principles yields the Einstein equations with matter from local detector changes.
Power-law kinetic grading in a 1D lattice drives a localization transition at alpha equals zero with diverging length, enabling critical enhancement of quantum Fisher information for parameter estimation.
A fluctuation-guided adaptive random compiler for Hamiltonian simulation dynamically adjusts term sampling probabilities according to state sensitivity to improve fidelity over fixed randomized methods.
Scrambling dynamics in a nuclear spin system produce correlations yielding 33(2) dB signal enhancement and 18(1) dB metrological gain with 40(3) μrad phase sensitivity.
Derives causal Fisher-information inequalities from classical causal models via a series law on inverse Fisher information, showing violations falsify the model class and certify quantum metrological advantage through forbidden score correlations.
Leggett-Garg inequality violations yield lower bounds on quantum Fisher information in stationary pure and thermal states, serving as a witness for many-body quantum coherence.
Long-range non-Hermitian XX spin chains show enhanced time and size scaling of dynamical quantum Fisher information for parameter estimation compared to short-range and Hermitian cases, with identical scaling at criticality for ground-state probes.
A new framework establishes a trade-off between energy cost and complexity in quantum phase estimation, locating a sweet spot for co-optimization at desired precision.
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Geometric obstructions to quadratic time scaling in multiparameter quantum estimation
Linear dependence among the diagonal components of Hamiltonian derivatives creates a slow parameter direction with O(t^0) scaling, obstructing simultaneous t^{-2} multiparameter quantum estimation.
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The uncertainty geometry of finite-dimensional position and momentum
Covariance matrices for finite-dimensional DFT-related position-momentum pairs are fully characterized via unitary invariants, convex geometry, and SDP, yielding extremal states and application bounds.
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Nonlinearity-enhanced Quantum Sensing in Discrete Time Crystal Probes
Nonlinear interactions in discrete time crystals increase the system-size scaling exponent of quantum Fisher information approximately linearly with nonlinearity strength, enhancing sensing precision while preserving quadratic time scaling.
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Surpassing thermal-state limit in thermometry via non-completely positive quantum encoding
General probe-environment correlations enable non-completely positive encodings that surpass the thermal-state bound in quantum thermometry precision.
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Exponentially-enhanced Weak-field Sensing with Quantum Stark Localization
Stark-localized probes with exponentially graded potentials V_j = e^{a j} deliver exponentially scaling quantum Fisher information for weak-field sensing in equilibrium and non-equilibrium regimes.
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A Detector-Based Inference Framework for Quantum Theory and Spacetime Geometry
Detector distinguishability creates quantum geometry while a consistency functional built from deformation costs and symmetry principles yields the Einstein equations with matter from local detector changes.
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Fluctuation-guided adaptive random compiler for Hamiltonian simulation
A fluctuation-guided adaptive random compiler for Hamiltonian simulation dynamically adjusts term sampling probabilities according to state sensitivity to improve fidelity over fixed randomized methods.
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Correlation-enhanced metrology from scrambling dynamics in a solid-state spin system
Scrambling dynamics in a nuclear spin system produce correlations yielding 33(2) dB signal enhancement and 18(1) dB metrological gain with 40(3) μrad phase sensitivity.
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Causal Fisher-Information Inequalities: Classical Causal Model Falsification and Metrological Advantage
Derives causal Fisher-information inequalities from classical causal models via a series law on inverse Fisher information, showing violations falsify the model class and certify quantum metrological advantage through forbidden score correlations.
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Leggett-Garg Inequality Violations Bound Quantum Fisher Information
Leggett-Garg inequality violations yield lower bounds on quantum Fisher information in stationary pure and thermal states, serving as a witness for many-body quantum coherence.
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Quantum-enhanced sensing from the interplay of long-range interactions and non-Hermiticity
Long-range non-Hermitian XX spin chains show enhanced time and size scaling of dynamical quantum Fisher information for parameter estimation compared to short-range and Hermitian cases, with identical scaling at criticality for ground-state probes.
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Trade-off between complexity and energy in quantum phase estimation
A new framework establishes a trade-off between energy cost and complexity in quantum phase estimation, locating a sweet spot for co-optimization at desired precision.