Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
Formulates error and disturbance in quantum measurement in terms of Fisher information
Calculates the classical and quantum Fisher information using a Lie algebraic approach
Establishes in a groundbreaking work the fundamental bound on the accuracy of one measured observable and the disturbance on its conjugate one in the spirit of Heisenberg
Nominated as an outstanding contribution by the University of Tokyo's Physics Department in 2012
In this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement. The author argues that the best solution for clarifying the attainable bound of the error and disturbance is to invoke the estimation process from the measurement outcomes such as signals from a photodetector in a quantum optical system. The error and disturbance in terms of the Fisher information content have been successfully formulated and provide the upper bound of the accuracy of the estimation. Moreover, the attainable bound of the error and disturbance in quantum measurement has been derived.
The obtained bound is determined for the first time by the quantum fluctuations and correlation functions of the observables, which characterize the non-classical fluctuation of the observables. The result provides the upper bound of our knowledge obtained by quantum measurements.
The method developed in this thesis will be applied to a broad class of problems related to quantum measurement to build a next-generation clock standard and to successfully detect gravitational waves.
Content Level »Research
Keywords »Attainable Bound of Uncertainty Relation - Estimation Theory of Error and Disturbance - Heisenberg’s Uncertainty Relation - Information Theoretic Formulation of Error and Disturbance - Lie Algebra - Quantum Fisher Information - Quantum Measurement