Adiabatic quantum computation with Cooper pairs

We propose a new variant of the controlled-NOT quantum logic gate based on adiabatic level-crossing dynamics of the q-bits. The gate has a natural implementation in terms of the Cooper pair transport in arrays of small Josephson tunnel junctions. An important advantage of the adiabatic approach is that the gate dynamics is insensitive to the unavoidable spread of junction parameters.

[1]  M. Tinkham,et al.  Fabrication and characterization of single-electron tunneling transistors in the superconducting state , 1993, IEEE Transactions on Applied Superconductivity.

[2]  Michael Tinkham,et al.  Introduction to Superconductivity , 1975 .

[3]  Barenco,et al.  Conditional Quantum Dynamics and Logic Gates. , 1995, Physical review letters.

[4]  R. Jozsa,et al.  Quantum Computation and Shor's Factoring Algorithm , 1996 .

[5]  Lov K. Grover A fast quantum mechanical algorithm for database search , 1996, STOC '96.

[6]  Arnold,et al.  Observation of multiple Andreev reflections in superconducting tunnel junctions. , 1994, Physical review letters.

[7]  A. Messiah Quantum Mechanics , 1961 .

[8]  J. Cirac,et al.  Quantum Computations with Cold Trapped Ions. , 1995, Physical review letters.

[9]  N. Gershenfeld,et al.  Bulk Spin-Resonance Quantum Computation , 1997, Science.

[10]  Han,et al.  Measurement of single electron lifetimes in a multijunction trap. , 1994, Physical review letters.

[11]  King,et al.  Demonstration of a fundamental quantum logic gate. , 1995, Physical review letters.

[12]  Pekola,et al.  Charging in Solitary, Voltage Biased Tunnel Junctions. , 1996, Physical review letters.

[13]  Konstantin K. Likharev,et al.  Single-Electron Parametron: Reversible Computation in a Discrete-State System , 1996, Science.

[14]  Hood,et al.  Measurement of conditional phase shifts for quantum logic. , 1995, Physical review letters.

[15]  A.M. Herr,et al.  Prospects for quantum coherent computation using superconducting electronics , 1997, IEEE Transactions on Applied Superconductivity.

[16]  R. A. Webb,et al.  Mesoscopic phenomena in solids , 1991 .

[17]  Michel Devoret,et al.  Single electron pump fabricated with ultrasmall normal tunnel junctions , 1991 .