Josephson-junction qubits with controlled couplings

Quantum computers, if available, could perform certain tasks much more efficiently than classical computers by exploiting different physical principles. A quantum computer would be comprised of coupled, two-state quantum systems or qubits, whose coherent time evolution must be controlled in a computation. Experimentally, trapped ions,, nuclear magnetic resonance in molecules, and quantum optical systems have been investigated for embodying quantum computation. But solid-state implementations would be more practical, particularly nanometre-scale electronic devices: these could be easily embedded in electronic circuitry and scaled up to provide the large numbers of qubits required for useful computations. Here we present a proposal for solid-state qubits that utilizes controllable, low-capacitance Josephson junctions. The design exploits coherent tunnelling of Cooper pairs in the superconducting state, while employing the control mechanisms of single-charge devices: single- and two-bit operations can be controlled by gate voltages. The advantages of using tunable Josephson couplings include the simplification of the operation and the reduction of errors associated with permanent couplings.

[1]  Han,et al.  Observation of Resonant Tunneling between Macroscopically Distinct Quantum Levels. , 1995, Physical review letters.

[2]  C. Monroe,et al.  Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register , 1998, quant-ph/9803023.

[3]  Juan Pablo Paz,et al.  QUANTUM COMPUTATION WITH PHASE DRIFT ERRORS , 1997 .

[4]  D. Aharonov Quantum Computation , 1998, quant-ph/9812037.

[5]  S Lloyd,et al.  A Potentially Realizable Quantum Computer , 1993, Science.

[6]  Alexander Shnirman,et al.  Quantum measurements performed with a single-electron transistor , 1998, cond-mat/9801125.

[7]  Jonathan A. Jones,et al.  Implementation of a quantum search algorithm on a quantum computer , 1998, Nature.

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

[9]  M. Devoret,et al.  Quantum coherence with a single Cooper pair , 1998 .

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

[11]  Lloyd,et al.  Almost any quantum logic gate is universal. , 1995, Physical review letters.

[12]  G. Schoen,et al.  Quantum Manipulations of Small Josephson Junctions , 1997, cond-mat/9706016.

[13]  D. V. Averin,et al.  Adiabatic quantum computation with Cooper pairs , 1998 .

[14]  Konstantin K. Likharev,et al.  Possible performance of capacitively coupled single‐electron transistors in digital circuits , 1995 .

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

[16]  U. Weiss Quantum Dissipative Systems , 1993 .

[17]  Jaw-Shen Tsai,et al.  Spectroscopy of Energy-Level Splitting between Two Macroscopic Quantum States of Charge Coherently Superposed by Josephson Coupling , 1997 .

[18]  Lov K. Grover,et al.  Quantum computation , 1999, Proceedings Twelfth International Conference on VLSI Design. (Cat. No.PR00013).

[19]  Schoen,et al.  Combined single-electron and coherent-Cooper-pair tunneling in voltage-biased Josephson junctions. , 1991, Physical review letters.

[20]  A. Leggett,et al.  Dynamics of the dissipative two-state system , 1987 .

[21]  N. Gershenfeld,et al.  Experimental Implementation of Fast Quantum Searching , 1998 .

[22]  Timothy F. Havel,et al.  EXPERIMENTAL QUANTUM ERROR CORRECTION , 1998, quant-ph/9802018.

[23]  Quantum Physics and Computers , 1996, quant-ph/9612014.

[24]  D. DiVincenzo,et al.  Quantum computation with quantum dots , 1997, cond-mat/9701055.

[25]  David P. DiVincenzo,et al.  Quantum information and computation , 2000, Nature.

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

[27]  Barenco,et al.  Elementary gates for quantum computation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[28]  B. E. Kane A silicon-based nuclear spin quantum computer , 1998, Nature.