منابع مشابه
Classical no-cloning theorem.
A classical version of the no-cloning theorem is discussed. We show that an arbitrary probability distribution associated with a (source) system cannot be copied onto another (target) system while leaving the original distribution of the source system unperturbed. For classical dynamical systems such a perfect cloning process is not permitted by the Liouvillian (ensemble) evolution associated w...
متن کاملA stronger no-cloning theorem
It is well known that (non-orthogonal) pure states cannot be cloned so one may ask: how much or what kind of additional (quantum) information is needed to supplement one copy of a quantum state in order to be able to produce two copies of that state by a physical operation? For classical information, no supplementary information is required. However for pure quantum (non-orthogonal) states, we ...
متن کاملQuantum copying: Beyond the no-cloning theorem.
We analyze a possibility of copying (≡ cloning) of arbitrary states of quantum-mechanical spin1/2 system. We show that there exists a “universal quantum-copying machine” (i.e. transformation) which approximately copies quantum-mechanical states such that the quality of its output does not depend on the input. We also examine a machine which combines a unitary transformation and a selective meas...
متن کاملNo-cloning theorem for a single POVM
Cloning of statistics of general quantum measurement is discussed. The presented approach is connected with the known concept of observable cloning, but differs in some essential respects. The reasons are illustrated within some variety of B92 protocol. As it is shown, there exist pairs of states such that the perfect cloning of given POVM is not possible. We discuss some properties of these in...
متن کاملNo-cloning theorem for a single observable
The concept of observable cloning introduced by Ferraro et al. [J. Phys. A: Math. Theor. 39, L219, 2006] is developed in some essential aspects. As figure of merit, we justify a relative entropy of the joint distribution at the output to the product of independent distributions at the input. It is shown that the impossibility of observable cloning can be caused by set of possible input states. ...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2019
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2019.2910562