Programme

P.51 -- Poster, NCTP-43

Date: Wednesday, 1 August 2018

Time: 08:30 - 10:00

An economical scheme for creation of a desired quDit state

Le Thanh Dat (1), Nguyen Ba An (1,2)

(1) Thang Long Institute of Mathematics and Applied Sciences (TIMAS), Thang Long University, Nghiem Xuan Yem, Hoang Mai, Hanoi, Vietnam; (2) Center for Theoretical Physics, Institute of Physics, Vietnam Academy of Science and Technology (VAST), 18 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam

Concrete tasks in quantum information processing demand their relevant input states. Therefore, creation of quantum states with specific characteristics is necessary. Of our interest is a pure quDit state $\left| \Psi \right\rangle = \sum \nolimits_{n = 0}^{D - 1} {\alpha _n}\left| n \right\rangle $ with desired complex coefficients $\alpha_{n}$. In fact, such a state can be created by various schemes which were already described in the literature. However, all the existing schemes suffer from certain limitations. They are complicated relying on entangling transformations and/or measurements so that the implementation is either probabilistic or needs ancilla dimensions. Here we propose an economical scheme which is deterministic and requires only an initial quDit in the simplest state $\left| 0 \right\rangle$. Namely, we explicitly construct the form of a unitary operator which when acting on $\left| 0 \right\rangle$ directly produces the desired quDit state $\left| \Psi \right\rangle$ without any measurements. We also discuss on how to optically realize our constructed unitary operator.

Presenter: Le Thanh Dat