Fermionic Linear Optics Revisited
Tóm tắt
We provide an alternative view of the efficient classical simulatibility of fermionic linear optics in terms of Slater determinants. We investigate the generic effects of two-mode measurements on the Slater number of fermionic states. We argue that most such measurements are not capable (in conjunction with fermion linear optics) of an efficient exact implementation of universal quantum computation. Our arguments do not apply to the two-mode parity measurement, for which exact quantum computation becomes possible.
Tài liệu tham khảo
Robert Musil, The Man Without Qualities, Vol. 2 (Vintage, 1996). Translation by Sophie Wilkins and Burton Pike.
J. Schliemann J.I. Cirac M. Kuś M. Lewenstein D. Loss (2001) Phys Rev A 64 022303 Occurrence Handle10.1103/PhysRevA.64.022303 Occurrence Handle2001PhRvA..64b2303S
K. Eckert J. Schliemann D. Bruß M. Lewenstein (2002) Ann Phys. 299 88–127 Occurrence Handle2002AnPhy.299...88E
B.M. Terhal D.P. DiVincenzo (2002) Phys Rev A 65 032325–110 Occurrence Handle10.1103/PhysRevA.65.032325 Occurrence Handle2002PhRvA..65c2325T
Knill E. (2001). “Fermionic linear optics and matchgates,” http://arxiv.org/abs/quant−ph/ 0108033.
R. Hanson B. Witkamp L.M.K. Vandersypen L.H. Willemsvan Beveren J.M. Elzerman L.P. Kouwenhoven (2002) Phys Rev Lett. 91 196802 Occurrence Handle2003PhRvL..91s6802H
M.A. Nielsen I.L. Chuang (2000) Quantum Computation and Quantum Information Cambridge University Press Cambridge
Beenakker C.W.J., DiVincenzo D.P., Emary C., Kindermann M., “Charge detection enables free-electron quantum computation,” http://arxiv.org/abs/quant−ph/0401066.
E. Knill R. Laflamme G. Milburn (2001) Nature 409 46–52 Occurrence Handle10.1038/35051009 Occurrence Handle2001Natur.409...46K Occurrence Handle000166175600033
M.A. Nielsen (2003) Phys Le A 308 96–100 Occurrence Handle2003PhLA..308...96N Occurrence Handle1008.81009
D. Leung, “Two-qubit projective measurements are universal for quantum computation,” Technical Report NSF-ITP-01-174 (2001) http://arxiv.org/abs/quant−ph/0111122.
A. Barenco D. Deutsch A.K. Ekert R. Jozsa (1995) Phys Rev Lett. 74 4083–4086 Occurrence Handle10.1103/PhysRevLett.74.4083 Occurrence Handle1995PhRvL..74.4083B
S.A. Gurvitz (1997) “Measurements with a noninvasive detector and dephasing mechanism,” 56 15215
N.W. Ashcroft N.D. Mermin (1976) Solid State Physics Saunders College Philadelphia
D. Pines (1963) Elementary Excitations in Solids Benjamin Reading