Implementation schemes for the factorized quantum lattice-gas algorithm for the one dimensional diffusion equation using persistent-current qubits

Quantum Information Processing

Volumn 4, Issue 4, 2005, Pages 265-282

  Berns, David M ^a   Orlando, T P ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b Department of Electrical Engineering and Computer Science   (United States)

Author keywords

Diffusion; Flux qubit; Quantum computation; Quantum Lattice Gas

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DIFFUSION; ERROR ANALYSIS; NUCLEAR MAGNETIC RESONANCE;

FLUX QUBIT; PERSISTENT-CURRENT (PC) QUBITS; QUANTUM COMPUTATION; QUANTUM LATTICE-GAS;

QUANTUM THEORY;

EID: 26244448511     PISSN: 15700755     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11128-005-6492-z     Document Type: Article

References (17)

1. K. Berggren, Quantum Computing with Superconductors, Proc. IEEE 92(10), 1630 (2004).
2. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).
3. J. Yepez, Quantum Computing and Quantum Communications, Lecture Notes in Computer Science, Vol. 1509, (Springer-Verlag, (1999) p. 35.
4. D. A. Wolf-Gladrow, Lattice-Gas Cellular Automata and Lattice Boltzmann Models, edited by A. Dold et al. (Springer, Berlin, 2000).
5. J. Yepez, An efficient quantum algorithm for the one-dimensional Burgers equation, quant-ph/0210092.
6. I. Chiorescu et al., Coherent Dynamics of a Superconducting Flux Qubit, Science 299, 1869 (2003).
7. J. R. Friedman et al., Quantum Superposition of Distinct Macroscopic States, Nature 406, 43 (2000).
8. Y. A. Pashkin et al., Quantum Oscillations in Two Coupled Charge Qubits, Nature 421, 823 (2003).
9. J. M. Martinis et al., Rabi Oscillations in a Large Josephon-Junction Qubit, Phys. Rev. Lett. 89, 117901 (2002).
10. D. Vion et al., Manipulating the Quantum State of an Electrical Circuit, Science 296, 886 (2002).
11. I. L. Chuang et al., Bulk Quantum Computation with Nuclear Magnetic Resonance: Theory and Experiment, Proc. R. Soc. Lond. A 454, 447 (1998).
12. M. Pravia et al., Experimental Demonstration of Quantum Lattice Gas Computation, Quant. Infor. Processing 2, 97 (2003).
13. J. Yepez, Quantum Lattice-Gas Model for the Diffusion Equation, Intl. J. Mod Phys. C 12 (9) 1285 (2001).
14. T.P. Orlando et al., Superconducting Persistent-Current Qubit, Phys. Rev. B 60, 15398 (1999).
15. T.P. Orlando and K.A. Delin, Foundations of Applied Superconductivity (Addison-Wesley Reading, MA, UK, 1991).
16. D.J. Van Harlingen et al., Decoherence in Josepshon-junction qubits due to critical-current fluctuations, Phys. Rev. B 70, 064517 (2004).
17. G. P. Berman et al., Simulation of the Diffusion Equation on a Type-II Quantum Computer, Phys. Rev. A 66, 012310 (2002).