Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I'm wondering, is it possible to define an operator that gives information about the "distinctness" of superposition components?

As a simple example, imagine that we have two particles. Let |3> designate the state in which they are 3 meters apart, let |5> designate the state in which they are 5 meters apart, and |7> for seven metres apart. Now imagine the three possible states:

(s1) a|3> + b|3> = |3>

(s2) a|3> + b|5>

(s3) a|3> + b|7>

Where a and b are amplitudes such that |a|^{2}+|b|^{2}=1.

Is it possible to define an operator that gives a null result for s1 (no distinctness) while giving nonzero values for s2 and s3 and ranking them so that s3 gets a higher value (more distinct?)?

If there are real quantum mechanical applications for such operators I would be very interested to learn of them. If there are no known applications even though they are nonetheless in principle definable, then I would still be very interested.

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Operators for measuring superposition component distinctnes?

Loading...

Similar Threads for Operators measuring superposition |
---|

A Fundamental Theorem of Quantum Measurements |

A Defining Krauss operators with normal distribution |

A Quantum measurement operators with Poisson distribution |

I Measurement Values for z-component of Angular Momentum |

**Physics Forums | Science Articles, Homework Help, Discussion**