Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

The rise of quantum information science has opened up a new venue for applications of the
geometric phase (GP), as well as triggered new insights into its physical, mathematical, and …

Experimental realization of a universal set of quantum logic gates is the central requirement
for the implementation of a quantum computer. In an 'all-geometric'approach to quantum …

The geometric aspects of quantum mechanics are emphasized most prominently by the
concept of geometric phases, which are acquired whenever a quantum system evolves …

We propose a protocol to realize nonadiabatic geometric quantum computation of small-
amplitude Schrödinger cat qubits via invariant-based reverse engineering. We consider a …

We develop a non-adiabatic generalization of holonomic quantum computation in which
high-speed universal quantum gates can be realized using non-Abelian geometric phases …

By studying the topological invariance and Berry phase in non-Hermitian systems, we reveal
the basic properties of the complex Berry phase and generalize the global Berry phases Q to …

Nonadiabatic holonomic quantum computation (NHQC) has been developed to shorten the
construction times of geometric quantum gates. However, previous NHQC gates require the …

When a quantum system is driven slowly through a parametric cycle in a degenerate Hilbert
space, the state would acquire a non-Abelian geometric phase, which is stable and forms …

Using geometric phases to realize noise-resilient quantum computing is an important
method to enhance the control fidelity. In this work, we experimentally realize a universal …