A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

Shortcuts to adiabaticity (STA) are fast routes to the final results of slow, adiabatic changes
of the controlling parameters of a system. The shortcuts are designed by a set of analytical …

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 …

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

The application of adiabatic protocols in quantum technologies is severely limited by
environmental sources of noise and decoherence. Shortcuts to adiabaticity by …

By using transitionless quantum driving algorithm (TQDA), we present an efficient scheme
for the shortcuts to the holonomic quantum computation (HQC). It works in decoherence-free …

We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize
universal quantum computation with mesoscopic Rydberg atoms. A single control atom …

The geometric phase has the intrinsic property of being resistant to some types of local
noises as it only depends on global properties of the evolution path. Meanwhile, the non …

Non-Abelian optics has emerged as a promising research field with the potential to
revolutionize our understanding of light–matter interactions and enable new applications in …