Construction and implementation of NMR quantum logic gates for two spin systems
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Updated: Jul 31, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
Published on: November 12, 2013
M D Price1, S S Somaroo, C H Tseng
1Harvard-MIT Division of Health Sciences and Technology, Cambridge, Massachusetts 02139, USA.
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.
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