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quant-ph2009★ 27 cited
Geometric quantum gates in liquid-state NMR based on a cancellation of dynamical phases
Yukihiro Ota, Yoshito Goto, Yasusi Kondo +1
A proposal for applying non-adiabatic geometric phases to quantum computing, called the double-loop method [S.-L. Zhu and Z. D. Wang, Phys. Rev. A {\bf 67}, 022319 (2003)], is demo…
quant-ph2009★ 54 cited
Composite pulses in NMR as non-adiabatic geometric quantum gates
Yukihiro Ota, Yasusi Kondo
We show that some composite pulses widely employed in NMR experiments are regarded as non-adiabatic geometric quantum gates with Aharanov-Anandan phases. Thus, we reveal the presen…
quant-ph2008★ 7 cited
Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain
Yukihiro Ota, Masamitsu Bando, Yasusi Kondo +1
We exactly construct one- and two-qubit holonomic quantum gates in terms of isospectral deformations of an Ising model Hamiltonian. A single logical qubit is constructed out of two…