title: Construction and implementation of NMR quantum logic gates for two spin systems.
abstract: The implementation of small prototype quantum computers has been studied through ensemble quantum computing via NMR measurements. In such laboratory studies it is convenient to have access to a wide array of logic gates. Here a systematic approach to reduce the logic gate to an NMR pulse sequence is introduced. This approach views the truth table for a quantum logic operation as a permutation matrix that corresponds to a propagator for an NMR transition. This propagator is then used as the starting point for the derivation of a pulse sequence. Pulse sequences for all the permutations of a four level system are reported along with implementations of representative examples on a two spin-1/2 system, 13C-labeled chloroform.
authors.affiliation: Harvard-MIT Division of Health Sciences and Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: M D
authors.initials: MD
authors.lastname: Price
authors.forename: S S
authors.initials: SS
authors.lastname: Somaroo
authors.forename: C H
authors.initials: CH
authors.lastname: Tseng
authors.forename: J C
authors.initials: JC
authors.lastname: Gore
authors.forename: A F
authors.initials: AF
authors.lastname: Fahmy
authors.forename: T F
authors.initials: TF
authors.lastname: Havel
authors.forename: D G
authors.initials: DG
authors.lastname: Cory
mesh_terms: D009682:Magnetic Resonance Spectroscopy