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Under the limit with the large self-inductance, two first terms in the Hamiltonian form a double-well potential near φ = φ0 / 2 .
The charge Q is a canonically conjugated variable to the phase difference across the junction Ψ = 2πφ / φ0 (→ ( 5 )).
The Hamiltonian ( 10 ) can be reduced to that of a two-state system. All elementary operations can be performed by controlling the applied magnetic field.