Decomposition of orthogonal matrix and synthesis of two-qubit and three-qubit orthogonal gates

Hybrid topological-spin qubit systems for two-qubit-spin gates

We investigate a hybrid quantum system involving spin qubits, based on the spins of electrons confined in quantum dots, and topological qubits, based on Majorana fermions. In such a system, gated control of the charge on the quantum dots allows transfer of quantum information between the spin and topological qubits, and the topological system can be used to facilitate transfer of spin qubits be...

Two-qubit gates for resonant exchange qubits.

A new approach to single-qubit operations using exchange interactions of single electrons in gate-defined quantum dots has recently been demonstrated: the resonant exchange qubit. We show that two-qubit operations, specifically the controlled phase gate, can be performed between resonant exchange qubits very straightforwardly, using a single exchange pulse. This is in marked contrast to the bes...

Error rates and resource overheads of encoded three- qubit gates

Efficient Decomposition of Single-Qubit Gates into V Basis Circuits

We develop the first constructive algorithms for compiling single-qubit unitary gates into circuits over the universal V basis. The V basis is an alternative universal basis to the more commonly studied {H,T} basis. We propose two classical algorithms for quantum circuit compilation: the first algorithm has expected polynomial time (in precision log(1/ )) and offers a depth/precision guarantee ...

Improving the purity of one- and two-qubit gates

The experimental realization of one-qubit gates in solid state setups [1–3] and two-qubit gates in ion traps [4, 5] and Josephson junctions [6] has demonstrated that these systems provide remarkable coherence properties although the goal of 10−5 errors per gate operation [7] has not yet been accomplished experimentally. The unavoidable coupling to external degrees of freedomand the thereby caus...