Limit distribution with a combination of density functions for a 2-state quantum walk

Takuya Machida

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Limit distribution with a combination of density functions for a 2-state quantum walk

Takuya Machida

Quantum Physics · Submitted 18 Oct 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim However, our walk can be localized around the origin.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,026 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.23 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.82 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; show every role.

We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices. One of the matrices operates the walk in certain intervals. In the usual QWs starting from the origin, localization does not occur at all. However, our walk can be localized around the origin. In this paper, we present some limit distributions for the walk.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices.	background 0.89	0.24	0.03	asserted 0.99
s1	One of the matrices operates the walk in certain intervals.	method 0.81	0.21	0.03	asserted 0.99
s2	In the usual QWs starting from the origin, localization does not occur at all.	background 0.99	0.09	0.04	asserted 1.00
s3	However, our walk can be localized around the origin.	result 0.92	0.81	0.38	asserted 0.76
s4	In this paper, we present some limit distributions for the walk.	contribution 0.96	0.91	0.36	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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arXiv listing abstract v4

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figures and tables
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices. One of the matrices operates the walk in certain intervals. In the usual QWs starting from the origin, localization does not occur at all. However, our walk can be localized around the origin. In this paper, we present some limit distributions for the walk.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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