Probabilistic quantum cloning of real states

We construct the explicit formulation of the probabilistically perfect quantum cloning machine that perfectly duplicates the input states chosen from the special set φ i i = 1 d consisting of the linearly independent and nonorthogonal quantum states with 〈 φ i ∣ φ j 〉 = r ∈ (0, 1)( i ≠ j). The succe...

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Bibliographic Details
Published in:Optics communications 2010-05, Vol.283 (9), p.1956-1960
Main Authors: Zhang, Wen-Hai, Dai, Jie-Lin, Cao, Zhuo-Liang, Yang, Ming
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Cloning
Construction equipment
Exact sciences and technology
Optimization
Physics
Probabilistic quantum cloning
Probability theory
Quantum cloning
Quantum information
Reproduction
Three dimensional
Transformations
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Summary:We construct the explicit formulation of the probabilistically perfect quantum cloning machine that perfectly duplicates the input states chosen from the special set φ i i = 1 d consisting of the linearly independent and nonorthogonal quantum states with 〈 φ i ∣ φ j 〉 = r ∈ (0, 1)( i ≠ j). The success probabilities of cloning the input states are equal and maximal. As two examples, we present the explicit transformations of the optimal 1 → 2 probabilistically perfect quantum cloning of the real states in 2 and 3 dimensions. The success probabilities of each of two cloning machines are equal and maximal.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2009.12.023