Derives differential upper bounds on quantum Fisher information for time-dependent metrology under Markovian noise and proves universal long-time scaling laws saturated by quantum error correction.
The elusive Heisenberg limit in quantum enhanced metrology
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abstract
We provide efficient and intuitive tools for deriving bounds on achievable precision in quantum enhanced metrology based on the geometry of quantum channels and semi-definite programming. We show that when decoherence is taken into account, the maximal possible quantum enhancement amounts generically to a constant factor rather than quadratic improvement. We apply these tools to derive bounds for models of decoherence relevant for metrological applications including: dephasing,depolarization, spontaneous emission and photon loss.
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quant-ph 1years
2026 1verdicts
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Precision limits for time-dependent quantum metrology under Markovian noise
Derives differential upper bounds on quantum Fisher information for time-dependent metrology under Markovian noise and proves universal long-time scaling laws saturated by quantum error correction.