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Asymmetric Universal 1-2 Cloning: Difference between revisions
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This [[example protocol]] achieves the functionality of [[Quantum Cloning]]. Asymmetric universal cloning refers to a quantum cloning machine (QCM) where its output clones are not the same or in other words, they have different [[fidelities]]. Here we focus on <math>1 \rightarrow 1 + 1</math> universal cloning. In asymmetric cloning, we try to distribute information unequally among the copies. A trade-off relation exists between the fidelities, meaning if one of the copies are very close to the original state, the other one will be far from it. There are two approaches to this kind of cloning, both leading to same trade-off relation. Here we discuss the quantum circuit approach (Buzek et al., 1997) It can be also noted that the symmetric universal <math>1 \rightarrow 2</math> cloning can be considered as a special case of the asymmetric universal cloning where the information between copies has been equally distributed. | This [[example protocol]] achieves the functionality of [[Quantum Cloning]]. Asymmetric universal cloning refers to a quantum cloning machine (QCM) where its output clones are not the same or in other words, they have different [[fidelities]]. Here we focus on <math>1 \rightarrow 1 + 1</math> universal cloning. In asymmetric cloning, we try to distribute information unequally among the copies. A trade-off relation exists between the fidelities, meaning if one of the copies are very close to the original state, the other one will be far from it. There are two approaches to this kind of cloning, both leading to same trade-off relation. Here we discuss the quantum circuit approach (Buzek et al., 1997) It can be also noted that the symmetric universal <math>1 \rightarrow 2</math> cloning can be considered as a special case of the asymmetric universal cloning where the information between copies has been equally distributed. | ||
'''Tags:''' [[Category: Building Blocks]][[:Category: Building | '''Tags:''' [[Category: Building Blocks]][[:Category: Building Blocks|Building Blocks]], [[Quantum Cloning]], Universal Cloning, asymmetric cloning, copying quantum states, [[:Categories: Quantum Functionality|Quantum Functionality]] [[Categories: Quantum Functionality]],[[:Category:Specific Tasks|Specific Task]][[Category:Specific Tasks]],symmetric or [[Optimal Universal N-M Cloning|Optimal or Symmetric Cloning]], [[Probabilistic Cloning]] | ||
==Assumptions== | ==Assumptions== | ||
* We assume that the original input qubit is unknown and the protocol is independent of the original input state (universality). | * We assume that the original input qubit is unknown and the protocol is independent of the original input state (universality). | ||