Moreover, the analog to (6) may involve a different unitary transformation (e.g., using local cosine transforms) and, perhaps more importantly, hard thresholding is replaced by Wiener filtering.
Let be some 3D unitary transformation (e.g., Fourier or wavelet transform), and let Υ θ denote the hard-thresholding operator with threshold θ, which is chosen with some fixed proportionality to the standard deviation σ of the noise.
Now, we are going to transform H ̂ into a simple form using the unitary transformation method, developed in [6] for a two-loop LC circuit, in order to simplify the problem.
The second reason is the fact that, when we dispose of majorization relations between two different quantum states, we know that we can transform one of the states into the other using some unitary transformation.
Chen, X., Gu, Z. C. & Wen, X. G. Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order.
Representing a unitary transformation as an object makes it fairly simple to translate programming directives at the classical level into physical control instructions at the quantum level.
A nonlocal continuous unitary transformation is explicitly constructed and the associated positive operator-valued measures for the photons and atom are obtained.
We show that the best strategy includes two stages: a specific unitary transformation on two ensembles and state estimation of the output states of this transformation.
The results of both Bell-state measurements are then encoded in four classical bits and send to Bob who can perform the according unitary transformation to restore the initial quantum state from Alice.
Polaron in CsI quantum pseudo dot under an electromagnetic field was considered, and the ground and first excited state energies were derived by employing the combining Pekar variational and unitary transformation methods.
We utilize a unitary transformation to separate conductance modes in the ideal parts in order to insert them effectively by fully analytical self-energies in the middle part of Green's function.
