Geometric and holonomic quantum computation

J Zhang, TH Kyaw, S Filipp, LC Kwek, E Sjöqvist… - Physics Reports, 2023 - Elsevier
Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

Quantum computing with NMR

JA Jones - Progress in nuclear magnetic resonance spectroscopy, 2011 - Elsevier
Quantum computers [1–4] are explicitly quantum mechanical systems that use phenomena
such as superposition and entanglement to perform computational tasks more efficiently …

[HTML][HTML] Determining the parity of a permutation using an experimental NMR qutrit

S Dogra, K Dorai - Physics Letters A, 2014 - Elsevier
We present the NMR implementation of a recently proposed quantum algorithm to find the
parity of a permutation. In the usual qubit model of quantum computation, it is widely …

The Aharonov–Anandan phase and geometric double-quantum excitation in strongly coupled nuclear spin pairs

C Bengs, M Sabba, MH Levitt - The Journal of Chemical Physics, 2023 - pubs.aip.org
The Aharonov–Anandan phase is a contribution to the phase acquired by the cyclic
evolution of a quantum state, which depends only on the geometric properties of its …

Majorana representation, qutrit Hilbert space and NMR implementation of qutrit gates

S Dogra, K Dorai - Journal of Physics B: Atomic, Molecular and …, 2018 - iopscience.iop.org
We report a study of the Majorana geometrical representation of a qutrit, where a pair of
points on a unit sphere represents its quantum states. A canonical form for qutrit states is …

Theory and calculation of abelian and non-abelian geometric phase factors with SpinDynamica

C Bengs - Journal of Magnetic Resonance, 2023 - Elsevier
Cyclic quantum evolution is accompanied by a systematic change in the phase of the initial
state vector. This change only depends upon the path traced out by the system itself. Such …

NMR Quantum Information Processing: Indian Contributions and Perspectives

K Dorai, Arvind - Journal of the Indian Institute of Science, 2023 - Springer
Quantum processors based on NMR architectures, which use nuclear spins as qubits and
radio frequency pulses to implement unitary quantum gates, came into existence nearly two …

[PDF][PDF] Emulating qubits with fuzzy logic

MS Hannachi, Y Hatakeyama, K Hirota - International Journal of …, 2007 - academia.edu
An approach for emulating quantum circuits using conventional analog hardware is
presented based on the intuitive similarity between fuzzy logic and quantum superposition …

Implementation of the quantum Fourier transform on a hybrid qubit–qutrit NMR quantum emulator

S Dogra, A Dorai, K Dorai - International Journal of Quantum …, 2015 - World Scientific
The quantum Fourier transform (QFT) is a key ingredient of several quantum algorithms and
a qudit-specific implementation of the QFT is hence an important step toward the realization …

Information processing using three-qubit and qubit–qutrit encodings of noncomposite quantum systems

A Popov, E Kiktenko, A Fedorov, VI Man'ko - Journal of Russian Laser …, 2016 - Springer
We study quantum information properties of a seven-level system realized by a particle in a
onedimensional square-well trap and discuss the features of encodings of seven-level …