dorsal/arxiv
View SchemaTemporal Interferometry: A Mechanism for Controlling Qubit Transitions During Twisted Rapid Passage with Possible Application to Quantum Computing
| Authors | Frank Gaitan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203066 |
| URL | https://arxiv.org/abs/quant-ph/0203066 |
| DOI | 10.1103/PhysRevA.68.052314 |
Abstract
In an adiabatic rapid passage experiment, the Bloch vector of a two-level system (qubit) is inverted by slowly inverting an external field to which it is coupled, and along which it is initially aligned. In twisted rapid passage, the external field is allowed to twist around its initial direction with azimuthal angle $\phi (t)$ at the same time that it is inverted. For polynomial twist: $\phi (t) \sim Bt^{n}$. We show that for $n \geq 3$, multiple avoided crossings can occur during the inversion of the external field, and that these crossings give rise to strong interference effects in the qubit transition probability. The transition probability is found to be a function of the twist strength $B$, which can be used to control the time-separation of the avoided crossings, and hence the character of the interference. Constructive and destructive interference are possible. The interference effects are a consequence of the temporal phase coherence of the wavefunction. The ability to vary this coherence by varying the temporal separation of the avoided crossings renders twisted rapid passage with adjustable twist strength into a temporal interferometer through which qubit transitions can be greatly enhanced or suppressed. Possible application of this interference mechanism to construction of fast fault-tolerant quantum CNOT and NOT gates is discussed.
{
"annotation_id": "a052f735-9753-4fae-8fba-ff8da4cbcbbb",
"date_created": "2026-03-02T18:01:49.264000Z",
"date_modified": "2026-03-02T18:01:49.264000Z",
"file_hash": "1cd62fc613e71137aaa8db6759a769271f8c507d6ad6f0beb7f9cf0b6b996fcd",
"private": false,
"record": {
"abstract": "In an adiabatic rapid passage experiment, the Bloch vector of a two-level\nsystem (qubit) is inverted by slowly inverting an external field to which it is\ncoupled, and along which it is initially aligned. In twisted rapid passage, the\nexternal field is allowed to twist around its initial direction with azimuthal\nangle $\\phi (t)$ at the same time that it is inverted. For polynomial twist:\n$\\phi (t) \\sim Bt^{n}$. We show that for $n \\geq 3$, multiple avoided crossings\ncan occur during the inversion of the external field, and that these crossings\ngive rise to strong interference effects in the qubit transition probability.\nThe transition probability is found to be a function of the twist strength $B$,\nwhich can be used to control the time-separation of the avoided crossings, and\nhence the character of the interference. Constructive and destructive\ninterference are possible. The interference effects are a consequence of the\ntemporal phase coherence of the wavefunction. The ability to vary this\ncoherence by varying the temporal separation of the avoided crossings renders\ntwisted rapid passage with adjustable twist strength into a temporal\ninterferometer through which qubit transitions can be greatly enhanced or\nsuppressed. Possible application of this interference mechanism to construction\nof fast fault-tolerant quantum CNOT and NOT gates is discussed.",
"arxiv_id": "quant-ph/0203066",
"authors": [
"Frank Gaitan"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.052314",
"title": "Temporal Interferometry: A Mechanism for Controlling Qubit Transitions During Twisted Rapid Passage with Possible Application to Quantum Computing",
"url": "https://arxiv.org/abs/quant-ph/0203066"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "fd75aea3-6930-4a8d-8d29-1655dea2e186",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}