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Quantum Fisher Information: Variational principle and simple iterative algorithm for its efficient computation

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arxiv 1312.1356 v1 pith:QR4PDI2X submitted 2013-12-04 quant-ph

Quantum Fisher Information: Variational principle and simple iterative algorithm for its efficient computation

classification quant-ph
keywords fisherinformationalgorithmiterativeprinciplequantumsimplevariational
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We derive a new variational principle for the quantum Fisher information leading to a simple iterative alternating algorithm, the convergence of which is proved. The case of a fixed measurement, i.e. the classical Fisher information, is also discussed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Optimized Quantum States for Sensing in the Presence of Loss and Phase Noise

    quant-ph 2026-06 unverdicted novelty 7.0

    Numerical optimization identifies non-Gaussian quantum states that outperform Gaussian states for sensing under loss and phase noise, with up to 2.2 dB advantage persisting under homodyne detection.

  2. Optimized Quantum States for Sensing in the Presence of Loss and Phase Noise

    quant-ph 2026-06 unverdicted novelty 6.0

    Numerical optimization identifies three classes of non-Gaussian states that outperform any Gaussian state by up to 2.2 dB under 5% loss and 200 mrad phase noise at mean photon number 5, with advantage persisting under...

  3. Iterative optimization in quantum metrology and entanglement theory using semidefinite programming

    quant-ph 2022-06 unverdicted novelty 5.0

    An iterative semidefinite programming method maximizes quantum Fisher information over local Hamiltonians to optimize metrological performance of quantum states and solves related entanglement problems.