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The Materials Research Society series

Nuclear Magnetic Resonance

Ray LaPierre

Published Oct 24, 2025• 0 citations
Publisher

Abstract

Nuclear magnetic resonance (NMR) uses a large ensemble of molecules in a test tube (a liquid). The spin states of nuclei within the atoms of the molecules act as the qubits. Each molecule is a quantum computer.
DOI
10.1007/978-3-031-90731-9_19

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Nuclear Magnetic Resonance (NMR) forms a natural test-bed to perform quantum information processing (QIP) and has so far proven to be one of the most successful quantum information processors. The nuclear spins in a molecule treated as quantum bits or qubits which are the basic building blocks of a quantum computer. The development of NMR over half a century puts it in a platform where we can utilize its excellent control techniques over an ensemble of spin systems and perform quantum computation in a highly controlled way. Apart from a successful quantum information processor, NMR is also a highly powerful quantum platform where many of the potentially challenging quantum mechanical experiments can be performed.
We have tested complementarity for the ensemble-averaged spin states of nuclei 13^{13}13C in the molecule of 13^{13}13CHCl3_{3}3​ by the use of the spin states of another nuclei 1^{1}1H as the path marker. It turns out that the wave-particle duality holds when one merely measures the probability density of quantum states, and that the wave- and particle-like behavior is simultaneously observed with the help of measuring populations and coherence in a single nuclear magnetic resonance(NMR) experiment. Effects of path-marking schemes and causes of the appearance and disappearance of the wave behavior are analysed.
We report an experimental demonstration of a quantum delayed-choice experiment via nuclear magnetic resonance techniques. Two spin-1/2 nuclei from each molecule of a liquid ensemble are used as target and ancilla qubits. The circuit corresponding to the recently proposed quantum delayed-choice setup has been implemented with different states of an ancilla qubit. As expected theoretically, our experiments clearly demonstrate continuous morphing of the target qubit between particle-like and wave-like behaviors. The experimental visibility of the interference patterns shows good agreement with theory.