General impossible operations in quantum information

Pati, Arun K. (2002) General impossible operations in quantum information Physical Review A, 66 (6). Article ID 062319. ISSN 1050-2947

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Official URL: http://journals.aps.org/pra/abstract/10.1103/PhysR...

Related URL: http://dx.doi.org/10.1103/PhysRevA.66.062319

Abstract

We prove a general limitation in quantum information that unifies the impossibility principles such as no-cloning and no-anticloning. Further, we show that for an unknown qubit one cannot design a universal Hadamard gate for creating equal superposition of the original and its complement state. Surprisingly, we find that Hadamard transformations exist for an unknown qubit chosen either from the polar or equatorial great circles. Also, we show that for an unknown qubit one cannot design a universal unitary gate for creating unequal superpositions of the original and its complement state. We discuss why it is impossible to design a controlled-NOT gate for two unknown qubits and discuss the implications of these limitations. 03.67.Hk, 03.65.Ta

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:105096
Deposited On:09 Mar 2018 11:38
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