Tight anti-Hermitian query complexity d_I = Θ(β_I T + log(1/ε)/log log(1/ε)) is established for non-Hermitian M-QSP, with impossibility of √(β_I T) fast-forwarding, new angle-finding algorithms, and extensions to time-dependent cases.
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In the large-Hilbert-space limit, Floquet chaotic dynamics with Haar random gates produce linear shot-noise scaling of quantum Fisher information, with super-linear advantages at finite sizes, while local random circuits asymptotically mimic global unitaries.
QFI for entropy in Gibbs states equals 1/C, dual to C/T² for temperature, yielding a Hamiltonian-independent uncertainty relation for their estimators.
Any temperature-dependent unitary driving on a thermalized quantum probe universally boosts its quantum Fisher information for thermometry above the static equilibrium value via a positive kernel of information currents.
Fock-space lattices enable cell-dependent criticality that tunes quantum Fisher information scaling from standard to Heisenberg limits with broad sensing coverage via topological zero modes.
citing papers explorer
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Optimal Bounds, Barriers, and Extensions for Non-Hermitian Bivariate Quantum Signal Processing
Tight anti-Hermitian query complexity d_I = Θ(β_I T + log(1/ε)/log log(1/ε)) is established for non-Hermitian M-QSP, with impossibility of √(β_I T) fast-forwarding, new angle-finding algorithms, and extensions to time-dependent cases.
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Asymptotic Metrological Scaling and Concentration in Chaotic Floquet Dynamics
In the large-Hilbert-space limit, Floquet chaotic dynamics with Haar random gates produce linear shot-noise scaling of quantum Fisher information, with super-linear advantages at finite sizes, while local random circuits asymptotically mimic global unitaries.
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Quantum Fisher Information for Entropy of Gibbs States
QFI for entropy in Gibbs states equals 1/C, dual to C/T² for temperature, yielding a Hamiltonian-independent uncertainty relation for their estimators.
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Shake before use: universal enhancement of quantum thermometry by unitary driving
Any temperature-dependent unitary driving on a thermalized quantum probe universally boosts its quantum Fisher information for thermometry above the static equilibrium value via a positive kernel of information currents.
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Cell-Dependent Criticality for Quantum Metrology
Fock-space lattices enable cell-dependent criticality that tunes quantum Fisher information scaling from standard to Heisenberg limits with broad sensing coverage via topological zero modes.