High-fidelity quantum state preparation using neighboring optimal control

Abstract

We present an approach to single-shot high-fidelity preparation of an $n$-qubit state based on neighboring optimal control theory. This represents a new application of the neighboring optimal control formalism which was originally developed to produce single-shot high-fidelity quantum gates. To illustrate the approach, and to provide a proof-of-principle, we use it to prepare the two qubit Bell state $|{\beta }_{01}⟩=(1/\sqrt{2})\left[|01⟩+|10⟩\right]$ with an error probability $\epsilon \sim 10^{-6}$ ($10^{-5}$) for ideal (non-ideal) control. Using standard methods in the literature, these high-fidelity Bell states can be leveraged to fault-tolerantly prepare the logical state $|{\overline{\beta }}_{01}⟩$.

16 pages, 1 figure, 9 tables, all MATLAB files used in numerical computations included

References in corpus (3)

• Fault-Tolerant Postselected Quantum Computation: Schemes
• High-fidelity universal quantum gates through group-symmetrized rapid passage
• Improving quantum gate performance through neighboring optimal control