Optimal operating conditions of an entangling two-transmon gate

Geometric phase gate for entangling two Bose-Einstein condensates

Teleportation-based realization of an optical quantum two-qubit entangling gate.

In recent years, there has been heightened interest in quantum teleportation, which allows for the transfer of unknown quantum states over arbitrary distances. Quantum teleportation not only serves as an essential ingredient in long-distance quantum communication, but also provides enabling technologies for practical quantum computation. Of particular interest is the scheme proposed by D. Gotte...

Making a circulant 2-qubit entangling gate

We present a way to physically realize a circulant 2-qubit entangling gate in the Kauffman-Jones version of SU(2) Chern-Simons theory at level 4. Our approach uses qubit and qutrit ancillas, braids, fusions and interferometric measurements. Our qubit is formed by four anyons of topological charges 1221. Among other 2qubit entangling gates we generate in the present work, we produce in particula...

Optimal Realization of an Arbitrary Two-Qubit Quantum Gate

Abstract By an explicit construction, we show that an arbitrary two-qubit gate can be implemented by using at most 16 elementary one-qubit gates and 3 CNOT gates. We show that this construction is optimal; in the sense that these numbers of gates is the minimal possible ones. Moreover, we show that if the two-qubit gate belongs to SO(4), then we need only 12 elementary one-qubit gates and 2 CNO...

Exact universality from any entangling gate without inverses

This note proves that arbitrary local gates together with any entangling bipartite gate V are universal. Previously this was known only when access to both V and V † was given, or when approximate universality was demanded. A common situation in quantum computing is that we can apply only a limited set S ⊂ Ud of unitary gates to some d-dimensional system. The first question we want to ask in th...