Quantum dynamical entropy, chaotic unitaries and complex Hadamard matrices

Tytuł:
Quantum dynamical entropy, chaotic unitaries and complex Hadamard matrices
Czasopismo:
IEEE Transactions on Information Theory
Rok:
2017

Opis:
We introduce two invariants for the projective unitary group acting on a finite-dimensional complex Hilbert space: PVM- and POVM-dynamical entropies. We study the class of chaotic unitaries, i.e., the ones of maximal entropy. We provide necessary conditions for a unitary operator to be chaotic, which become also sufficient for qubits and qutrits. We also compute the volume of the set of chaotic unitaries in dimensions two and three, and the average PVM-dynamical entropy in dimension two.

Strony:
7821-7831

Tom (seria wydawnicza):
63

Numer DOI:
10.1109/TIT.2017.2751507

Link:
http://ieeexplore.ieee.org/document/8032492/

Access:
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