Macroscopic Quantum Resonance of Coupled Flux Qubits; A Quantum Computation Scheme
Abstract
We show that a superconducting circuit containing two loops, when treated with Macroscopic Quantum Coherence (MQC) theory, constitutes a complete two-bit quantum computer. The manipulation of the system is easily implemented with alternating magnetic fields. A \textit{universal} set of quantum gates is deemed available by means of all unitary single bit operations and a controlled-not (\textsc{cnot}) sequence. We use multi-dimensional MQC theory and time-dependent first order perturbation theory to analyze the model. Our calculations show that a two qubit arrangement, each having a diameter of 200nm, operating in the flux regime can be operated with a static magnetic field of
∼0.1
T, and an alternating dynamic magnetic field of amplitude
∼1
Gauss and frequency
∼10
Hz. The operational time
τ
op
is estimated to be
∼10
ns.