Fermionic Linear Optics Revisited

Details Fermionic Linear Optics Revisited Fermionic Linear Optics Revisited

2004-03-03

arxiv.org/abs/quant-ph/0403031v1

Foundations of Physics Vol.35, No. 12, pp. 1967--1984 (2005)

Physics

Quantum Physics

16 pages, submitted to the special issue of Foundation of Physics in honor of Asher Peres' 70th birthday

Scientific paper

10.1007/s10701-005-8657-0

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, see quant-ph/0401066.

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