Cuts, Qubits, and Information

Quantum information processing with nanomechanical qubits.

We introduce an approach to quantum information processing where the information is stored in the motional degrees of freedom of nanomechanical devices. The qubits of our approach are formed by the two lowest energy levels of mechanical resonators, which are tuned to be strongly anharmonic by suitable electrostatic fields. Single qubit rotations are conducted by radio-frequency voltage pulses t...

Type Two Cuts, Bad Cuts and Very Bad Cuts

Type two cuts, bad cuts and very bad cuts are introduced in [KL] for studying the relationship between Loeb measure and U-topology of a hyper nite time line in an !1-saturated nonstandard universe. The questions concerning the existence of those cuts are asked there. In this paper we answer, fully or partially, some of those questions by showing that: (1) type-two cuts exist, (2) the @1-isomorp...

Quantum information processing using molecular nanomagnets as qubits.

The idea that the superposition of quantum states could be utilized as a way of performing computation seems, at least on the surface, almost self-contradictory. However in 1994 Shor proposed an algorithm that would allow a quantum computer to factorize numbers much faster than a classical computer, and, shortly afterwards, Grover proposed an algorithm that would lead to much faster database se...

Supplementary Information - Atomic clock transitions in silicon-based spin qubits

Coupling Josephson qubits via a current-biased information bus

– Josephson qubits without direct interaction can be effectively coupled by sequentially connecting them to an information bus: a current-biased large Josephson junction treated as an oscillator with adjustable frequency. The coupling between any qubit and the bus can be controlled by modulating the magnetic flux applied to that qubit. This tunable and selective coupling provides two-qubit enta...