We consider a spin system coupled to a noisy environment via an interaction Hamiltonian
H which is a polynomial of degree
n in the spin operators
Si (
n-magnetic Hamiltonian), and show that the use of the quantum super-Zeno effect in conjunction with a spin-anticoherent subspace, is highly effective in protecting the spin from the noise. When
n=1, as in the case of unwanted rotations induced by stray magnetic fields, our scheme provides a quantum gyroscope, a concept that generalizes naturally to higher
n values (a quantum
n-gyroscope). The gist of the proposed protocol is to use the quantum super-Zeno effect to confine a state to the subspace, and then exploit anticoherence to freeze its evolution within it.
Following a recent proposal by Dhar et al (2006 Phys. Rev. Lett. 96 100405), we demonstrate experimentally the preservation of quantum states in a two-qubit system based on a super-Zeno effect using liquid-state nuclear magnetic resonance techniques. Using inverting radiofrequency pulses and delicately selecting time intervals between two pulses, we suppress the effect of decoherence of quantum states. We observe that preservation of the quantum state |11⟩ with the super-Zeno effect is three times more efficient than the ordinary one with the standard Zeno effect.
We report the first protocol specifically designed to generate anticoherent spin- j j states at different orders. The protocol consists of cycles of a rotation pulse about an axis followed by a squeezing pulse in a perpendicular direction. To protect these states, we develop dynamical decoupling techniques using group-based sequence design and the dynamically corrected gate formalism. We analyze key sources of dephasing, disorder, and dipole-dipole interactions and assess the effectiveness of our methods in preserving coherence. Potential applications of the produced anticoherent spin states include quantum sensing and studies related to quantum entanglement.