# Probabilistic Cloning and Identification of Linearly Independent Quantum States

@article{Duan1998ProbabilisticCA, title={Probabilistic Cloning and Identification of Linearly Independent Quantum States}, author={Luming Duan and Guangcan Guo}, journal={Physical Review Letters}, year={1998}, volume={80}, pages={4999-5002} }

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…

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Abstract
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## References

SHOWING 1-10 OF 37 REFERENCES

Quantum detection and estimation theory

- Computer ScienceProceedings of the IEEE
- 1978

This online revelation quantum detection and estimation theory can be one of the options to accompany you in imitation of having other time.

Phys

- Lett. A 128, 29
- 1988

Phys. Rev. Lett

- Phys. Rev. Lett
- 1997

Phys

- Rev. Lett. 76, 2818
- 1996

Nature (London) 299

- 802
- 1982

Phys. Lett. A

- Phys. Lett. A
- 1997

Quantum Detection and Estimation Theory (Academic Press, New York, 1976)

- LANL e-print quant-ph/9601020
- 1976

Phys

- Rev. Lett. 76, 722
- 1996

Phys

- Lett. A 92, 271
- 1982

Phys. Lett. A

- Phys. Lett. A
- 1982