Recent advances in nuclear magnetic resonance quantum information processing

Abstract

Quantum information processors have the potential to drastically change the way we communicate and process information. Nuclear magnetic resonance (NMR) has been one of the first experimental implementations of quantum information processing (QIP) and continues to be an excellent testbed to develop new QIP techniques. We review the recent progress made in NMR QIP, focusing on decoupling, pulse engineering and indirect nuclear control. These advances have enhanced the capabilities of NMR QIP, and have useful applications in both traditional NMR and other QIP architectures.

Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault tolerance with the toric code

“…When compared to their counterparts with tunable couplings, qubits with always-on couplings can be expected to have better parameter stability and longer coherence times. In addition there is also much to be benefited from over sixty years of development in nuclear magnetic resonance (NMR) which has resulted in an amazing degree of control available to such systems [26,27].…”

“…While NMR quantum computing is not easily scalable [35], it still holds several records for the number of coherently controlled qubits [27]. However, some of these records have been achieved with the help of strongly-modulated pulses, computer-generated single-and multi-qubit gates tailored for a particular system Hamiltonian [36][37][38][39].…”

Implementation of State Transfer Hamiltonians in Spin Chains with Magnetic Resonance Techniques

“…Since the very start of experimental QIP, NMR has played an important role in implementing the first proof-of-principle demonstrations, thanks to the fact that it is mature technology [19][20][21][22]. Indeed, NMR is unique in that simple implementations based on liquid-state NMR have been able to control up to 12 spin qubits [23] with commercially available technology.…”

“…Since the state in Eq. (20) does not reside in the lowest excitation manifold, in which QST is usually calculated, we need to evaluate the dynamics of the transport Hamiltonian in all the manifolds.…”

Heat Bath Algorithmic Cooling with Spins: Review and Prospects

“…Hence, these devices are excellent test beds that can be explored in the lab today for the ideas of quantum control and QEC. More details on NMR QIP can be found in [1,2]. The major challenge in the NMR QEC experiment is to efficiently supply ancilla qubits in highly pure states at the beginning of each round of QEC.…”