Share Email Print
cover

Proceedings Paper

The concept of weak measurements and the super-efficiency of quantum tomography
Author(s): Yu. I. Bogdanov; N. A. Bogdanova; B. I. Bantysh; Yu. A. Kuznetsov
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

The quantum measurement procedure based on the Lorentz transformation formalism and weak perturbation of the system is considered. In the simple case of a single-qubit it turns out that one can perform 4-dimension pseudo-rotation along with ordinary 3-dimension rotations on the Bloch sphere. These pseudo-rotations are similar to the Lorentz transformation in special relativity theory. The extension of the Lorentz transformation for many-qubit systems is also considered. The quantum measurement protocols based on the Lorentz transformation are proposed. It has been shown that these protocols cease to form the decomposition of unity and could be superefficient providing the fidelity higher than any POVM-measurement protocol. However, one can perform the complement of the Lorentz protocol to POVMprotocol by an additional measurement operator. If the initial mixed state is close to the pure one this operator corresponds to weak perturbation of the state while the original Lorentz protocol sets the strong perturbations. As the result, the feedback provides an effective control of a quantum system introducing weak perturbations to the quantum state.

Paper Details

Date Published: 15 March 2019
PDF: 12 pages
Proc. SPIE 11022, International Conference on Micro- and Nano-Electronics 2018, 110222O (15 March 2019); doi: 10.1117/12.2522078
Show Author Affiliations
Yu. I. Bogdanov, Institute of Physics and Technology (Russian Federation)
National Research Univ. of Electronic Technology (Russian Federation)
National Research Nuclear Univ. (Russian Federation)
N. A. Bogdanova, Institute of Physics and Technology (Russian Federation)
National Research Univ. of Electronic Technology (Russian Federation)
B. I. Bantysh, Institute of Physics and Technology (Russian Federation)
National Research Univ. of Electronic Technology (Russian Federation)
Yu. A. Kuznetsov, Institute of Physics and Technology (Russian Federation)
National Research Univ. of Electronic Technology (Russian Federation)


Published in SPIE Proceedings Vol. 11022:
International Conference on Micro- and Nano-Electronics 2018
Vladimir F. Lukichev; Konstantin V. Rudenko, Editor(s)

© SPIE. Terms of Use
Back to Top
PREMIUM CONTENT
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?
close_icon_gray