| |
|
M. Ozawa
Physical
Rewiew Letters 89 (5): art. no. 057902 July 29 2002
Abstract
The Wigner-Araki-Yanase
theorem shows that conservation laws limit the accuracy of measurement.
Here, we generalize the argument to show that conservation laws limit
the accuracy of quantum logic operations. A rigorous lower bound is
obtained of the error probability of any physical realization of the
controlled-NOT gate under the constraint that the computational basis
is represented by a component of spin, and that physical implementations
obey the angular momentum conservation law. The lower bound is shown
to be inversely proportional to the number of ancilla qubits or the
strength of the external control field.
|
|