Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Teles, J.; deAzevedo, Eduardo R.; Freitas, Jair C. C.; Sarthour, R. S.; Bonagamba, Tito J.

doi:10.1098/rsta.2011.0365

Cited by 13 publications

(13 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, the nonlinear Hamiltonian in the quadrupolar nuclei whose spin number > I 1 2 provides a perfect workbench of analog quantum simulation [5] (AQS) for nonlinear quantum systems which are more difficult to be simulated with spin-1 2 nucleus, such as the Bose-Hubbard system (BHS) and quantum chaotic systems. Consequently, the quadrupolar NMR quantum information processing has already attracted the interest of researchers [10,11]. Several basic experiments have been done in recent years, including the pseudo-pure state preparation [12], quantum state tomography [13], relaxation study [14], quantum algorithms [15] and some quantum simulation experiments [16,17].…”

Section: Introductionmentioning

confidence: 99%

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Nie

Cui

et al. 2015

New J. Phys.

View full text Add to dashboard Cite

The Bose-Hubbard model provides an excellent platform for exploring exotic quantum coherence. Interaction blockade is an important fundamental phenomenon in the two-site Bose-Hubbard system (BHS), which gives a full quantum description for the atomic Bose-Josephson junction. Using the analogy between the two-site BHS and the quadrupolar nuclear magnetic resonance (NMR) crystal, we experimentally simulate a two-site Bose-Hubbard system in a NMR quantum simulator composed of the quadrupolar spin-3/2 sodium nuclei of a NaNO 3 single crystal, and observe the interesting phenomenon of interaction blockade via adiabatic dynamics control. To our best knowledge, this is the first experimental implementation of the quantum simulation of the interaction blockade using quadrupolar nuclear system. Our work exhibits important applications of quadrupolar NMR in the quantum information science, i.e. a spin-3/2 system can be used as a full 2-qubit su(4) system, if the quadrupole moment is not fully averaged out by fast tumbling in the liquid phase.

show abstract

Section: Introductionmentioning

confidence: 99%

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Nie

Cui

et al. 2015

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…Historically, many quantum algorithms were implemented in NMR systems 8 9 10 11 12 13 , especially those algorithms where entanglement is not required 14 15 16 17 . The implementation of the algorithm using a ququart is achieved using a spin– nuclei, which has been extensively used in NMR-QIP applications as exemplified in 18 19 20 21 22 23 24 25 26 27 28 29 30 and reviewed in 31 . In such NMR systems, a strong static magnetic field is responsible for the Zeeman splitting, providing four energy levels.…”

Section: Resultsmentioning

confidence: 99%

Computational speed-up with a single qudit

Gedik

Silva

Çakmak

et al. 2015

Sci Rep

106

114

View full text Add to dashboard Cite

Quantum algorithms are known for providing more efficient solutions to certain computational tasks than any corresponding classical algorithm. Here we show that a single qudit is sufficient to implement an oracle based quantum algorithm, which can solve a black-box problem faster than any classical algorithm. For 2d permutation functions defined on a set of d elements, deciding whether a given permutation is even or odd, requires evaluation of the function for at least two elements. We demonstrate that a quantum circuit with a single qudit can determine the parity of the permutation with only one evaluation of the function. Our algorithm provides an example for quantum computation without entanglement since it makes use of the pure state of a qudit. We also present an experimental realization of the proposed quantum algorithm with a quadrupolar nuclear magnetic resonance using a single four-level quantum system, i.e., a ququart.

show abstract

“…which in special cases reduce to Eqs. (19) and (20). It is worth noting that any unitary operator that can create entanglement between a pair of qubits (or virtual qubits) is universal.…”

Section: Implementing Gates In Spin-3/2 Systemmentioning

confidence: 99%

Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers

et al. 2015

View full text Add to dashboard Cite

We discuss methods of quantum state tomography for solid-state systems with a large nuclear spin I = 3/2 in nanometer-scale semiconductors devices based on a quantum well. Due to quadrupolar interactions, the Zeeman levels of these nuclear-spin devices become nonequidistant, forming a controllable four-level quantum system (known as quartit or ququart). The occupation of these levels can be selectively and coherently manipulated by multiphoton transitions using the techniques of nuclear magnetic resonance (NMR) [Yusa et al., Nature (London) 434, 101 (2005)]. These methods are based on an unconventional approach to NMR, where the longitudinal magnetization Mz is directly measured. This is in contrast to the standard NMR experiments and tomographic methods, where the transverse magnetization Mxy is detected. The robustness against errors in the measured data is analyzed by using the condition number based on the spectral norm. We propose several methods with optimized sets of rotations yielding the highest robustness against errors, as described by the condition number equal to 1, assuming an ideal experimental detection. This robustness is only slightly deteriorated, as given by the condition number equal to 1.05, for a more realistic "noisy" Mz detection based on the standard cyclically-ordered phase sequence (CYCLOPS) method.

show abstract

Quantum information processing by nuclear magnetic resonance on quadrupolar nuclei

Cited by 13 publications

References 61 publications

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Computational speed-up with a single qudit

Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers

Contact Info

Product

Resources

About