Fermionic linear optics revisited

David P. DiVincenzo; Barbara M. Terhal

doi:10.1007/s10701-005-8657-0

Fermionic linear optics revisited

David P. DiVincenzo^*, Barbara M. Terhal

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

24 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1967-1984
Number of pages	18
Journal	Foundations of Physics
Volume	35
Issue number	12
DOIs	https://doi.org/10.1007/s10701-005-8657-0
Publication status	Published - 2005
Externally published	Yes

Keywords

Generic Effect
Quantum Computation
Alternative View
Parity Measurement
Universal Quantum

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10.1007/s10701-005-8657-0

Cite this

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AB - 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.

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KW - Quantum Computation

KW - Alternative View

KW - Parity Measurement

KW - Universal Quantum

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Fermionic linear optics revisited

Abstract

Keywords

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