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.
Title resolution pending
11 Pith papers cite this work. Polarity classification is still indexing.
11
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
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.
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.
citing papers explorer
-
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.
-
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.
-
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.
-
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.
-
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.
-
Localization from Infinitesimal Kinetic Grading: Finite-size Scaling, Kibble-Zurek Dynamics and Applications in Sensing
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.
-
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.
-
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.
-
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.
-
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.