State-independent geometric quantum gates via nonadiabatic and noncyclic evolution

Abstract

Geometric phases are robust to local noises and the nonadiabatic ones can reduce the evolution time, thus nonadiabatic geometric gates have strong robustness and can approach high fidelity. However, the advantage of geometric phase has not being fully explored in previous investigations. Here, we propose a scheme for universal quantum gates with pure nonadiabatic and noncyclic geometric phases from smooth evolution paths. In our scheme, only geometric phase can be accumulated in a fast way, and thus it not only fully utilizes the local noise resistant property of geometric phase but also reduces the difficulty in experimental realization. Numerical results show that the implemented geometric gates have stronger robustness than dynamical gates and the geometric scheme with cyclic path. Furthermore, we propose to construct universal quantum gate on superconducting circuits, with the fidelities of single-qubit gate and nontrivial two-qubit gate can achieve $99.97\%$ and $99.87\%$, respectively. Therefore, these high-fidelity quantum gates are promising for large-scale fault-tolerant quantum computation.

References in corpus (14)

• Charge insensitive qubit design derived from the Cooper pair box
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Experimental Realization of Universal Geometric Quantum Gates with Solid-State Spins
• Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
• Low-decoherence flux qubit
• Optical holonomic single quantum gates with a geometric spin under a zero field
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Composite pulses in NMR as non-adiabatic geometric quantum gates
• Reverse engineering of a Hamiltonian by designing the evolution operators
• Approach to realizing nonadiabatic geometric gates with prescribed evolution paths
• Robustness against parametric noise of non ideal holonomic gates
• Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• State-independent Nonadiabatic Geometric Quantum Gates

Cited by in corpus (1)

• Nonadiabatic geometric quantum gates with on-demand trajectories