Abstract
In recent years, small-scale quantum information processors have been realized in multiple physical architectures. These systems provide a universal set of gates that allow one to implement any given unitary operation. The decomposition of a particular algorithm into a sequence of these available gates is not unique. Thus, the fidelity of the implementation of an algorithm can be increased by choosing an optimized decomposition into available gates. Here, we present a method to find such a decomposition, where a small-scale ion trap quantum information processor is used as an example. We demonstrate a numerical optimization protocol that minimizes the number of required multi-qubit entangling gates by design. Furthermore, we adapt the method for state preparation, and quantum algorithms including in-sequence measurements.
Highlights
ArXiv:1601.06819v2 [quant-ph] 21 Jul 2016 we present an algorithm designed to produce decompositions with a minimal number of entangling gates
We extend the algorithm to operations required for state preparation or measurement, which are particular cases of more general operations known as isometries [13, 14]
In this work we have shown methods to compile quantum unitaries into a sequence of collective rotations, addressed rotations and global entangling operations
Summary
Several quantum information processing experiments based on atomic and molecular systems have similar toolsets of quantum operations at their disposal. It is convenient to apply collective rotations on an entire qubit register This can be done experimentally by spectroscopically decoupling the rest of the qubits from the computation [7], or by addressing the MS gate only on the relevant subset of the qubits [16] This set of gates, or equivalent ones, are available in several trapped-ion experiments [7, 17, 18]. The toolbox described there consists of global microwavedriven gates and single-site Stark shifts on the atoms, which are completely equivalent to the local operations described before for the trapped ion architecture. A multi-qubit CNOT gate, equivalent to the MS gate, could be implemented by means of long-range Rydberg blockade interactions [20]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
