dorsal/arxiv
View SchemaUse of Quadrupolar Nuclei for Quantum Information processing by Nuclear Magnetic Resonance: Implementation of a Quantum Algorithm
| Authors | Ranabir Das, Anil Kumar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306100 |
| URL | https://arxiv.org/abs/quant-ph/0306100 |
| DOI | 10.1103/PhysRevA.68.032304 |
Abstract
Physical implementation of Quantum Information Processing (QIP) by liquid-state Nuclear Magnetic Resonance (NMR), using weakly coupled spin-1/2 nuclei of a molecule, is well established. Nuclei with spin$>$1/2 oriented in liquid crystalline matrices is another possibility. Such systems have multiple qubits per nuclei and large quadrupolar couplings resulting in well separated lines in the spectrum. So far, creation of pseudopure states and logic gates have been demonstrated in such systems using transition selective radio-frequency pulses. In this paper we report two novel developments. First, we implement a quantum algorithm which needs coherent superposition of states. Second, we use evolution under quadrupolar coupling to implement multi qubit gates. We implement Deutsch-Jozsa algorithm on a spin-3/2 (2 qubit) system. The controlled-not operation needed to implement this algorithm has been implemented here by evolution under the quadrupolar Hamiltonian. This method has been implemented for the first time in quadrupolar systems. Since the quadrupolar coupling is several orders of magnitude greater than the coupling in weakly coupled spin-1/2 nuclei, the gate time decreases, increasing the clock speed of the quantum computer.
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"abstract": "Physical implementation of Quantum Information Processing (QIP) by\nliquid-state Nuclear Magnetic Resonance (NMR), using weakly coupled spin-1/2\nnuclei of a molecule, is well established. Nuclei with spin$\u003e$1/2 oriented in\nliquid crystalline matrices is another possibility. Such systems have multiple\nqubits per nuclei and large quadrupolar couplings resulting in well separated\nlines in the spectrum. So far, creation of pseudopure states and logic gates\nhave been demonstrated in such systems using transition selective\nradio-frequency pulses. In this paper we report two novel developments. First,\nwe implement a quantum algorithm which needs coherent superposition of states.\nSecond, we use evolution under quadrupolar coupling to implement multi qubit\ngates. We implement Deutsch-Jozsa algorithm on a spin-3/2 (2 qubit) system. The\ncontrolled-not operation needed to implement this algorithm has been\nimplemented here by evolution under the quadrupolar Hamiltonian. This method\nhas been implemented for the first time in quadrupolar systems. Since the\nquadrupolar coupling is several orders of magnitude greater than the coupling\nin weakly coupled spin-1/2 nuclei, the gate time decreases, increasing the\nclock speed of the quantum computer.",
"arxiv_id": "quant-ph/0306100",
"authors": [
"Ranabir Das",
"Anil Kumar"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.032304",
"title": "Use of Quadrupolar Nuclei for Quantum Information processing by Nuclear Magnetic Resonance: Implementation of a Quantum Algorithm",
"url": "https://arxiv.org/abs/quant-ph/0306100"
},
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