|
| related topics |
| {states, state, optimal} |
| {measurement, state, measurements} |
| {state, phys, rev} |
| {let, theorem, proof} |
| {time, decoherence, evolution} |
| {light, field, probe} |
| {bell, inequality, local} |
|
Probabilistic cloning and identification of linearly independent quantum
states
Lu-Ming Duan, Guang-Can Guo
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9804064
- categories:
- quant-ph
- comments:
- Extension of quant-ph/9705018, 12pages, latex, to appear in Phys.
Rev. Lett
- doi:
- 10.1103/PhysRevLett.80.4999
- arxiv_id:
- quant-ph/9804064
- journal_ref:
- Phys.Rev.Lett. 80 (1998) 4999-5002
- created:
- 1998-04-27
Full article ▸
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