We consider a quantum mechanical state initially in a subspace
$P$ of the full Hilbert space of the system and subjected to a
sequence of appropriately spaced short-duration pulses. In between the pulses,
the evolution of the system is governed by its Hamiltonian. The pulse adds a
phase $\pi$ to the vectors in the subspace $P$. We construct a
sequence of $N$ pulses within a finite time interval $T$ such that the
probability of finding the system outside $P$ at $T$ can be made as
small as $2^- (łog_2 N)^2$, for large $N$.
%0 Generic
%1 citeulike:158948
%A Dhar, Deepak
%A Grover, Lov K.
%A Roy, Shasanka M.
%D 2005
%K effect quantum zeno
%T Preserving Quantum States : A Super-Zeno Effect
%U http://arxiv.org/abs/quant-ph/0504070
%X We consider a quantum mechanical state initially in a subspace
$P$ of the full Hilbert space of the system and subjected to a
sequence of appropriately spaced short-duration pulses. In between the pulses,
the evolution of the system is governed by its Hamiltonian. The pulse adds a
phase $\pi$ to the vectors in the subspace $P$. We construct a
sequence of $N$ pulses within a finite time interval $T$ such that the
probability of finding the system outside $P$ at $T$ can be made as
small as $2^- (łog_2 N)^2$, for large $N$.
@misc{citeulike:158948,
abstract = {We consider a quantum mechanical state initially in a subspace
${\mathcal{P}}$ of the full Hilbert space of the system and subjected to a
sequence of appropriately spaced short-duration pulses. In between the pulses,
the evolution of the system is governed by its Hamiltonian. The pulse adds a
phase $\pi$ to the vectors in the subspace ${\mathcal{P}}$. We construct a
sequence of $N$ pulses within a finite time interval $T$ such that the
probability of finding the system outside ${\mathcal{P}}$ at $T$ can be made as
small as $2^{- (\log_2 N)^{2}}$, for large $N$.},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Dhar, Deepak and Grover, Lov K. and Roy, Shasanka M.},
biburl = {https://www.bibsonomy.org/bibtex/23e13c92a5068746ce565bb0215e4b52d/a_olympia},
citeulike-article-id = {158948},
description = {citeulike},
eprint = {quant-ph/0504070},
interhash = {e60b0aae0069eac4edda97acf6183b36},
intrahash = {3e13c92a5068746ce565bb0215e4b52d},
keywords = {effect quantum zeno},
month = {April},
priority = {2},
timestamp = {2007-08-18T13:22:52.000+0200},
title = {Preserving Quantum States : A Super-Zeno Effect},
url = {http://arxiv.org/abs/quant-ph/0504070},
year = 2005
}