Malinovsky, Vladimir S. and Sola, Ignacio R. and Vala, Jiri
(2014)
Phase-controlled two-qubit quantum gates.
Physical Review A, 89 (032301).
ISSN 1050-2947
Abstract
We consider an implementation of a two-qubit entangling gate between trapped ions controlled by fully
overlapping laser pulses. We particularly address the role of a relative phase between the pulses in the gate
design. Though, in general, the relative phase determines the exact form of the two-qubit operation, it is shown
that it affects only its single qubit part and has no effect on its entangling content. Based on a general canonical
decomposition of the evolution operator we demonstrate that the controlled-NOT (CNOT) gate can be decomposed
in terms of a two-qubit entangled gate and single qubit phase gates. Our study shows that any relative phase
errors in two-qubit operations related to phase fluctuations of the external fields can be successfully corrected
locally by single-qubit operations, which are usually easy to implement.
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