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Modern Physics Letters B

NONDISTORTION QUANTUM INTERROGATION

Zheng-Wei Zhou, LINGLING MIAO, Guang‐Can Guo, Xingxiang Zhou, M. J. Feldman

Published Oct 20, 2005• 0 citations
Publisher

Abstract

A general framework is presented to study nondistortion quantum interrogation (abbreviated NQI) in which process the unknown internal state of the quantum object being detected is not disturbed. The successful probabilities in single-shot and two-shot processes are discussed. Also iterative NQI is considered and the probability can go to unity under a certain condition.

DOI
10.1142/s0217984905009080

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A general framework is presented to study nondistortion quantum interrogation (abbreviated NQI) in which process the unknown internal state of the quantum object being detected is not disturbed. The successful probabilities in single-shot and two-shot processes are discussed. Also iterative NQI is considered and the probability can go to unity under a certain condition.
We present a general framework to study nondistortion quantum interrogation which preserves the internal state of the quantum object being detected. We obtain the necessary and sufficient condition for successful performing nondistortion interrogation for unknown quantum object when the interaction between the probe system and the detected system takes place only once. When the probe system and interrogation process have been limited we develop a mathematical frame to determine whether it is possible to realize NQI processes only relying on the choice of the original probe state. We also consider NQI process in iterative cases. A sufficient criterion for NQI is obtained.
We consider the nondistortion quantum interrogation (NQI) of an atom prepared in a quantum superposition. By manipulating the polarization of the probe photon and making connections to interaction free measurements of opaque objects, we show that nondistortion interrogation of an atom in a quantum superposition can be done with efficiency approaching unity. However, if any component of the atom's superposition is completely transparent to the probe wave function, a nondistortion interrogation of the atom is impossible.
We propose a scheme for nondistortion quantum interrogation defined as an interaction-free measurement that preserves the internal state of the object being detected. In our scheme, two Einstein-Podolsky-Rosen entangled photons are used as the probe and polarization-sensitive measurements are performed at the four ports of the Mach-Zehnder interferometer. In comparison with the previous single-photon scheme, it is shown that the two-photon approach has a higher probability of initial state preserving interrogation of an atom prepared in a quantum superposition. In the case that the presence of the atom is not successfully detected, the experiment can be repeated since the initial state of the atom is unperturbed.
We consider the nondistortion quantum interrogation of an atom prepared in a quantum superposition. By manipulating the polarization of the probe photon and making connections to interaction-free measurements of opaque objects, we show that nondistortion interrogation of an atom in a quantum superposition can be done with efficiency approaching unity. However, if any component of the atom's superposition is completely transparent to the probe wave function, a nondistortion interrogation of the atom is impossible.