General impossible operations in quantum information

Journal Article · Sun Dec 01 00:00:00 EST 2002 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.66.062319· OSTI ID:20632427

Pati, Arun K ^[1]

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1. Institute of Physics, Sainik School Post, Bhubaneswar 751005, Orissa (India)

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.

• OSTI ID: 20632427
• Journal Information: Physical Review. A, Vol. 66, Issue 6; Other Information: DOI: 10.1103/PhysRevA.66.062319; (c) 2002 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
COMMUNICATIONS
CORRELATIONS
DESIGN
ENERGY LEVELS
GATING CIRCUITS
INFORMATION THEORY
QUANTUM MECHANICS
TRANSFORMATIONS