# Stochastic quantum trajectories in a QND measurement of photon number

## Abstract

An analysis is presented of the time evolution of an optical field during a quantum nondemolition measurement of photon number using the cross-Kerr interaction between the signal and probe fields. It is shown that the signal field state collapses into a Fock state only asymptotically (in the infinite time limit), remaining in a superposition of two Fock states (Fock-state qubit) throughout most of the measurement period. Estimates are obtained both for the time required to measure photon number to the desired accuracy and for the Fock-state qubit lifetime.

- Authors:

- National Academy of Sciences of Belarus, Stepanov Institute of Physics (Belarus)

- Publication Date:

- OSTI Identifier:
- 21072539

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 104; Journal Issue: 2; Other Information: DOI: 10.1134/S106377610702001X; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INFORMATION THEORY; INTERACTIONS; LIFETIME; MATHEMATICAL EVOLUTION; PHOTONS; QUANTUM MECHANICS; QUBITS; SIGNALS; STOCHASTIC PROCESSES; TRAJECTORIES

### Citation Formats

```
Bukach, A. A., E-mail: a.bukach@dragon.bas-net.by, and Kilin, S. Ya.
```*Stochastic quantum trajectories in a QND measurement of photon number*. United States: N. p., 2007.
Web. doi:10.1134/S106377610702001X.

```
Bukach, A. A., E-mail: a.bukach@dragon.bas-net.by, & Kilin, S. Ya.
```*Stochastic quantum trajectories in a QND measurement of photon number*. United States. doi:10.1134/S106377610702001X.

```
Bukach, A. A., E-mail: a.bukach@dragon.bas-net.by, and Kilin, S. Ya. Sun .
"Stochastic quantum trajectories in a QND measurement of photon number". United States.
doi:10.1134/S106377610702001X.
```

```
@article{osti_21072539,
```

title = {Stochastic quantum trajectories in a QND measurement of photon number},

author = {Bukach, A. A., E-mail: a.bukach@dragon.bas-net.by and Kilin, S. Ya.},

abstractNote = {An analysis is presented of the time evolution of an optical field during a quantum nondemolition measurement of photon number using the cross-Kerr interaction between the signal and probe fields. It is shown that the signal field state collapses into a Fock state only asymptotically (in the infinite time limit), remaining in a superposition of two Fock states (Fock-state qubit) throughout most of the measurement period. Estimates are obtained both for the time required to measure photon number to the desired accuracy and for the Fock-state qubit lifetime.},

doi = {10.1134/S106377610702001X},

journal = {Journal of Experimental and Theoretical Physics},

number = 2,

volume = 104,

place = {United States},

year = {Sun Apr 15 00:00:00 EDT 2007},

month = {Sun Apr 15 00:00:00 EDT 2007}

}

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