Non-adiabatic rapid passage

Experimental verification is presented of recent theoretical predictions of spin inversion schemes that rely on temporal interferences during the sweep. The experiments were carried out using liquid state NMR. It is shown how under non-adiabatic conditions, both complete inversion and complete non-inversion can be achieved, due to slight but easily reproducible alteration of one control parameter. The implications of this scheme for quantum computing are discussed.

[1]  Alain Joye,et al.  Exponential decay and geometric aspect of transition probabilities in the adiabatic limit , 1991 .

[2]  Rucker,et al.  Measuring the geometric component of the transition probability in a two-level system. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[3]  D. Deutsch.  Quantum computational networks , 1989, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[4]  M. Berry.  Geometric amplitude factors in adiabatic quantum transitions , 1990, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[5]  J. Preskill.  Reliable quantum computers , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[6]  Mileti,et al.  Interferences in adiabatic transition probabilities mediated by Stokes lines. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[7]  P. Pechukas,et al.  The adiabatic theorem in the complex plane and the semiclassical calculation of nonadiabatic transition amplitudes , 1977 .

[8]  Jonathan A. Jones,et al.  Geometric quantum computation using nuclear magnetic resonance , 2000, Nature.

[9]  Timothy F. Havel,et al.  Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing , 2002, quant-ph/0202065.