Currently, I am working on various topics ranging from mathematical and geometrical aspects such as mutually unbiased bases and symmetric informationally complete measurements to practical applications like quantum imaging.
Dr. Ali Asadian
Researches and Teaching
Classicalization of Quantum State of Detector by Amplification Process
It has been shown that a macroscopic system being in a high-temperature thermal coherent state can be, in principle, driven into a non-classical state by coupling to a microscopic system. Therefore, thermal coherent states do not truly represent the classical limit of quantum description. Here, we study the classical limit of quantum state of a more relevant macroscopic system, namely the pointer of a detector, after the phase-preserving linear amplification process. In particular, we examine to what extent it is possible to find the corresponding amplified state in a superposition state, by coupling the pointer to a qubit system. We demonstrate quantitatively that the amplification process is able to produce the classical limit of quantum state of the pointer, offering a route for a classical state in a sense of not to be projected into a quantum superposition state.
Heisenberg-Weyl Observables: Bloch vectors in phase space
We introduce a Hermitian generalization of Pauli matrices to higher dimensions which is based on Heisenberg-Weyl operators. The complete set of Heisenberg-Weyl observables allows us to identify a real-valued Bloch vector for an arbitrary density operator in discrete phase space, with a smooth transition to in nite dimensions. Furthermore, we derive bounds on the sum of expectation values of any set of anti-commuting observables. Such bounds can be used in entanglement detection and we show that Heisenberg-Weyl observables provide a rst non-trivial example beyond the dichotomic case.
Dr. Ali Asadian
Room No. 018,
444 Prof. Yousef Sobouti Blvd.,
Zanjan 45137-66731, Iran
+98 24 3315 2 018 [Office]
Last Update: January 25, 2020