dorsal/arxiv
View SchemaEntangled Quantum Networks
| Authors | Fariel Shafee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203010 |
| URL | https://arxiv.org/abs/quant-ph/0203010 |
| Journal | microelectronics journal, 2006 |
Abstract
We present some results from simulation of a network of nodes connected by c-NOT gates with nearest neighbors. Though initially we begin with pure states of varying boundary conditions, the updating with time quickly involves a complicated entanglement involving all or most nodes. As a normal c-NOT gate, though unitary for a single pair of nodes, seems to be not so when used in a network in a naive way, we use a manifestly unitary form of the transition matrix with c?-NOT gates, which invert the phase as well as flipping the qubit. This leads to complete entanglement of the net, but with variable coefficients for the different components of the superposition. It is interesting to note that by a simple logical back projection the original input state can be recovered in most cases. We also prove that it is not possible for a sequence of unitary operators working on a net to make it move from an aperiodic regime to a periodic one, unlike some classical cases where phase-locking happens in course of evolution. However, we show that it is possible to introduce by hand periodic orbits to sets of initial states, which may be useful in forming dynamic pattern recognition systems.
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"abstract": "We present some results from simulation of a network of nodes connected by\nc-NOT gates with nearest neighbors. Though initially we begin with pure states\nof varying boundary conditions, the updating with time quickly involves a\ncomplicated entanglement involving all or most nodes. As a normal c-NOT gate,\nthough unitary for a single pair of nodes, seems to be not so when used in a\nnetwork in a naive way, we use a manifestly unitary form of the transition\nmatrix with c?-NOT gates, which invert the phase as well as flipping the qubit.\nThis leads to complete entanglement of the net, but with variable coefficients\nfor the different components of the superposition. It is interesting to note\nthat by a simple logical back projection the original input state can be\nrecovered in most cases. We also prove that it is not possible for a sequence\nof unitary operators working on a net to make it move from an aperiodic regime\nto a periodic one, unlike some classical cases where phase-locking happens in\ncourse of evolution. However, we show that it is possible to introduce by hand\nperiodic orbits to sets of initial states, which may be useful in forming\ndynamic pattern recognition systems.",
"arxiv_id": "quant-ph/0203010",
"authors": [
"Fariel Shafee"
],
"categories": [
"quant-ph",
"cond-mat.dis-nn",
"cs.AI"
],
"journal_ref": "microelectronics journal, 2006",
"title": "Entangled Quantum Networks",
"url": "https://arxiv.org/abs/quant-ph/0203010"
},
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