Zeno Effect for Quantum Computation and Control

Gerardo A. Paz-Silva, A. T. Rezakhani, Jason M. Dominy, and D. A. Lidar

Phys. Rev. Lett. 108, 080501 – Published 22 February 2012

Abstract

It is well known that the quantum Zeno effect can protect specific quantum states from decoherence by using projective measurements. Here we combine the theory of weak measurements with stabilizer quantum error correction and detection codes. We derive rigorous performance bounds which demonstrate that the Zeno effect can be used to protect appropriately encoded arbitrary states to arbitrary accuracy while at the same time allowing for universal quantum computation or quantum control.

Received 28 April 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.080501

Authors & Affiliations

Gerardo A. Paz-Silva^1,4, A. T. Rezakhani^1,4,5, Jason M. Dominy^1,4, and D. A. Lidar^1,2,3,4

¹Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA
²Department of Electrical Engineering, University of Southern California, Los Angeles, California 90089, USA
³Department of Physics, University of Southern California, Los Angeles, California 90089, USA
⁴Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089, USA
⁵Department of Physics, Sharif University of Technology, Tehran, Iran