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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quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
General probe-environment correlations enable non-completely positive encodings that surpass the thermal-state bound in quantum thermometry precision.
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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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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.