Dresden 2011 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 47: Quantum Information: Quantum Computer

Q 47.9: Vortrag

Donnerstag, 17. März 2011, 12:30–12:45, BAR Schön

Catalysis and activation of magic states in fault tolerant architectures — •Earl Campbell — Institute of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany

Fault tolerance techniques enable quantum computers to operate despite noise. In many architectures, fault tolerant quantum computing is achieved by a combination of fault tolerant coherent dynamics, preparation of cold qubits in an appropriate quantum state, and measurements. Typically, the fault tolerance coherent dynamics can be simulated efficiently by a classical computer, as they are within the so-called Clifford group. To promote the device beyond a classical computer, cold qubits must be available in a ``magic state", which is a suitable nonstabilizer state. These magic states constitute a resource for driving the fault tolerant quantum computation, and are consumed throughout the computation. Here we propose novel protocols that exploit multiple species of magic states in surprising ways, providing insights into a comprehensive resource theory of magic states. Our protocols provide examples of previously unobserved phenomena that are analogous to catalysis and activation well known in entanglement theory. Magic state catalysis demonstrates that catalytic resources can enable useful transformations without depleting the resource. The phenomena of magic state activation exploits bound magic states, which appear to be computationally inert when they are the only available resource. However, our protocols show that bound resources can be utilized when accompanied by an activating resource.