dorsal/arxiv
View SchemaCorrelation between Correlations: Process and Time in Quantum Networks
| Authors | Guenter Mahler, Ilki Kim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803008 |
| URL | https://arxiv.org/abs/quant-ph/9803008 |
Abstract
We study a special inhomogeneous quantum network consisting of a ring of $M$ pseudo-spins (here $M = 4$) sequentially coupled to one and the same central spin under the influence of given pulse sequences (quantum gate operations). This architecture could be visualized as a quantum Turing machine with a cyclic ``tape''. Rather than input-output-relations we investigate the resulting process, i.e. the correlation between one- and two-point expectation values (``correlations'') over various time-steps. The resulting spatio-temporal pattern exhibits many non-classical features including Zeno-effects, violation of temporal Bell-inequalities, and quantum parallelism. Due to the strange web of correlations being built-up, specific measurement outcomes for the tape may refer to one or several preparation histories of the head. Specific families of correlation functions are more stable with respect to dissipation than the total wave-function.
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"abstract": "We study a special inhomogeneous quantum network consisting of a ring of $M$\npseudo-spins (here $M = 4$) sequentially coupled to one and the same central\nspin under the influence of given pulse sequences (quantum gate operations).\nThis architecture could be visualized as a quantum Turing machine with a cyclic\n``tape\u0027\u0027. Rather than input-output-relations we investigate the resulting\nprocess, i.e. the correlation between one- and two-point expectation values\n(``correlations\u0027\u0027) over various time-steps. The resulting spatio-temporal\npattern exhibits many non-classical features including Zeno-effects, violation\nof temporal Bell-inequalities, and quantum parallelism. Due to the strange web\nof correlations being built-up, specific measurement outcomes for the tape may\nrefer to one or several preparation histories of the head. Specific families of\ncorrelation functions are more stable with respect to dissipation than the\ntotal wave-function.",
"arxiv_id": "quant-ph/9803008",
"authors": [
"Guenter Mahler",
"Ilki Kim"
],
"categories": [
"quant-ph"
],
"title": "Correlation between Correlations: Process and Time in Quantum Networks",
"url": "https://arxiv.org/abs/quant-ph/9803008"
},
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"execution_id": "cb7bf006-4e7a-4731-952a-ddb07332e60b",
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"variant": "snapshot-2026-03-01",
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