Probabilistic cloning and identification of linearly independent quantum states

Details Probabilistic cloning and identification of linearly independent quantum states Probabilistic cloning and identification of linearly independent quantum states

1998-04-27

arxiv.org/abs/quant-ph/9804064v1

Phys.Rev.Lett. 80 (1998) 4999-5002

Physics

Quantum Physics

Extension of quant-ph/9705018, 12pages, latex, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.4999

We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly chosen from a certain set $\$=\left\{\left| \Psi_1\right> ,\left| \Psi_2\right> ,... ,\left| \Psi_n\right> \right\} $ can be probabilistically cloned if and only if $% \left| \Psi_1\right>$, $\left| \Psi_2\right>$, $... ,$ and $\left| \Psi_n\right>$ are linearly-independent. We derive the best possible cloning efficiencies. Probabilistic cloning has close connection with the problem of identification of a set of states, which is a type of $n+1$ outcome measurement on $n$ linearly independent states. The optimal efficiencies for this type of measurement are obtained.

Affiliated with

Also associated with

No associations

Rating

Probabilistic cloning and identification of linearly independent quantum states does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probabilistic cloning and identification of linearly independent quantum states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probabilistic cloning and identification of linearly independent quantum states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-574481