Quantum computers [1–4] are explicitly quantum mechanical systems that use phenomena
such as superposition and entanglement to perform computational tasks more efficiently …

Storing information in quantum mechanical degrees of freedom and processing it by unitary
transformation promises a new class of computers that can efficiently solve problems for …

We show that some composite pulses widely employed in NMR experiments are regarded
as nonadiabatic geometric quantum gates with Aharanov-Anandan phases. Thus, we reveal …

The spin in a rotating frame has attracted a lot of attentions recently, as it deeply relates to
both fundamental physics such as pseudo-magnetic field and geometric phase, and …

A proposal for applying nonadiabatic geometric phases to quantum computing, called
double-loop method [S.-L. Zhu and ZD Wang, Phys. Rev. A 67, 022319 (2003)], is …

The influence of the geometric phase on a Bell measurement, as proposed by Bertlmann
[Phys. Rev. A 69, 032112 (2004)] and expressed by the Clauser-Horne-Shimony-Holt …

In this work, we describe the formation of geometric phases during nonadiabatic frequency
swept (FS) radio frequency (RF) pulses with sine amplitude modulation and cosine …

A simple elegant expression of nonadiabatic light wave evolution is necessary in order to
have a deeper insight for complicated optical phenomena in light science as well as in …

We show that all geometric quantum gates (GQG's in short), which are quantum gates only
with geometric phases, are robust against control field strength errors. As examples of this …

Geometric phases have been used in NMR to implement controlled phase shift gates for
quantum-information processing, only in weakly coupled systems in which the individual …