Journal
PHYSICAL REVIEW A
Volume 89, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.89.032128
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Funding
- National Science Foundation [PHY-1314763, PHY-1212445]
- Office of Naval Research Grant [N00014-11-1-0082]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1314763, 1212445] Funding Source: National Science Foundation
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We derive explicit expressions for the quantum Fisher information and the symmetric logarithmic derivative (SLD) of a quantum state in the exponential form rho = exp(G); the SLD is expressed in terms of the generator G. Applications include quantum-metrology problems with Gaussian states and general thermal states. Specifically, we give the SLD for a Gaussian state in two forms, in terms of its generator and its moments; the Fisher information is also calculated for both forms. Special cases are discussed, including pure, degenerate, and very noisy Gaussian states.
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