dorsal/arxiv
View SchemaNMR Quantum Information Processing with Para-Hydrogen
| Authors | M. S. Anwar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509046 |
| URL | https://arxiv.org/abs/quant-ph/0509046 |
Abstract
This thesis addresses the problems of initialization and separability in liquid state NMR based quantum information processors. We prepare pure quantum states lying above the entanglement threshold. Our pure state quantum computer derives its purity from the highly polarized nuclear spin states in the para-hydrogen molecule. The thesis begins with a critique of conventional NMR based quantum information processing outlining the major strengths and weaknesses of the technology. We describe the enhanced magnetic ordering of the nuclear spin states in para-hydrogen and an initialization experiment exploiting this effect to achieve pure, entangled states. These states can indeed be used as initial states in implementing quantum algorithms: we describe mplementations of the Deutsch and the Grover quantum algorithms. The "twirl" operation converts a completely arbitrary input state to a Werner singlet. The NMR implementation of this operation is taken up. We also analyze the possibility of sharing the purity of some highly polarized qubits in a quantum computer onto quantum subspaces of arbitrary dimensions, and whether these sharing operations increase or decrease the likelihood of entanglement.
{
"annotation_id": "3a2bba53-4ead-435b-a3ea-4f7bfaed8112",
"date_created": "2026-03-02T18:02:19.903000Z",
"date_modified": "2026-03-02T18:02:19.903000Z",
"file_hash": "56a7f387fcc45a5057f060b122dbd2f2fadc1a4e46265d258fecfa079c351671",
"private": false,
"record": {
"abstract": "This thesis addresses the problems of initialization and separability in\nliquid state NMR based quantum information processors. We prepare pure quantum\nstates lying above the entanglement threshold. Our pure state quantum computer\nderives its purity from the highly polarized nuclear spin states in the\npara-hydrogen molecule. The thesis begins with a critique of conventional NMR\nbased quantum information processing outlining the major strengths and\nweaknesses of the technology. We describe the enhanced magnetic ordering of the\nnuclear spin states in para-hydrogen and an initialization experiment\nexploiting this effect to achieve pure, entangled states. These states can\nindeed be used as initial states in implementing quantum algorithms: we\ndescribe mplementations of the Deutsch and the Grover quantum algorithms. The\n\"twirl\" operation converts a completely arbitrary input state to a Werner\nsinglet. The NMR implementation of this operation is taken up. We also analyze\nthe possibility of sharing the purity of some highly polarized qubits in a\nquantum computer onto quantum subspaces of arbitrary dimensions, and whether\nthese sharing operations increase or decrease the likelihood of entanglement.",
"arxiv_id": "quant-ph/0509046",
"authors": [
"M. S. Anwar"
],
"categories": [
"quant-ph"
],
"title": "NMR Quantum Information Processing with Para-Hydrogen",
"url": "https://arxiv.org/abs/quant-ph/0509046"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5b6ef7da-6923-4c94-ba5d-70c18e80e328",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}