dorsal/arxiv
View SchemaEntanglement Dynamics in 1D Quantum Cellular Automata
| Authors | Gavin K. Brennen, Jamie E. Williams |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0306056 |
| URL | https://arxiv.org/abs/quant-ph/0306056 |
| DOI | 10.1103/PhysRevA.68.042311 |
| Journal | Physical Review A vol. 68, 042311 (2003). |
Abstract
Several proposed schemes for the physical realization of a quantum computer consist of qubits arranged in a cellular array. In the quantum circuit model of quantum computation, an often complex series of two-qubit gate operations is required between arbitrarily distant pairs of lattice qubits. An alternative model of quantum computation based on quantum cellular automata (QCA) requires only homogeneous local interactions that can be implemented in parallel. This would be a huge simplification in an actual experiment. We find some minimal physical requirements for the construction of unitary QCA in a 1 dimensional Ising spin chain and demonstrate optimal pulse sequences for information transport and entanglement distribution. We also introduce the theory of non-unitary QCA and show by example that non-unitary rules can generate environment assisted entanglement.
{
"annotation_id": "09f6f4fb-37b6-49a1-a503-5ed9358caf55",
"date_created": "2026-03-02T18:02:00.163000Z",
"date_modified": "2026-03-02T18:02:00.163000Z",
"file_hash": "af3daf2456851fca2e344febe362bd698f67a7c1a4a910a5f1656a504aa17580",
"private": false,
"record": {
"abstract": "Several proposed schemes for the physical realization of a quantum computer\nconsist of qubits arranged in a cellular array. In the quantum circuit model of\nquantum computation, an often complex series of two-qubit gate operations is\nrequired between arbitrarily distant pairs of lattice qubits. An alternative\nmodel of quantum computation based on quantum cellular automata (QCA) requires\nonly homogeneous local interactions that can be implemented in parallel. This\nwould be a huge simplification in an actual experiment. We find some minimal\nphysical requirements for the construction of unitary QCA in a 1 dimensional\nIsing spin chain and demonstrate optimal pulse sequences for information\ntransport and entanglement distribution. We also introduce the theory of\nnon-unitary QCA and show by example that non-unitary rules can generate\nenvironment assisted entanglement.",
"arxiv_id": "quant-ph/0306056",
"authors": [
"Gavin K. Brennen",
"Jamie E. Williams"
],
"categories": [
"quant-ph",
"cond-mat"
],
"doi": "10.1103/PhysRevA.68.042311",
"journal_ref": "Physical Review A vol. 68, 042311 (2003).",
"title": "Entanglement Dynamics in 1D Quantum Cellular Automata",
"url": "https://arxiv.org/abs/quant-ph/0306056"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c5fe009e-9301-4498-a798-2f51750bdee7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}