dorsal/arxiv
View SchemaInteraction-free quantum computation
| Authors | Hiroo Azuma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403159 |
| URL | https://arxiv.org/abs/quant-ph/0403159 |
| DOI | 10.1103/PhysRevA.70.012318 |
| Journal | Phys. Rev. A 70, 012318 (2004) |
Abstract
In this paper, we study the quantum computation realized by an interaction-free measurement (IFM). Using Kwiat et al.'s interferometer, we construct a two-qubit quantum gate that changes one particle's trajectory according to whether or not the other particle exists in the interferometer. We propose a method for distinguishing Bell-basis vectors, each of which consists of a pair of an electron and a positron, by this gate. (This is called the Bell-basis measurement.) This method succeeds with probability 1 in the limit of $N \to \infty$, where N is the number of beam splitters in the interferometer. Moreover, we can carry out a controlled-NOT gate operation by the above Bell-basis measurement and the method proposed by Gottesman and Chuang. Therefore, we can prepare a universal set of quantum gates by the IFM. This means that we can execute any quantum algorithm by the IFM.
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"abstract": "In this paper, we study the quantum computation realized by an\ninteraction-free measurement (IFM). Using Kwiat et al.\u0027s interferometer, we\nconstruct a two-qubit quantum gate that changes one particle\u0027s trajectory\naccording to whether or not the other particle exists in the interferometer. We\npropose a method for distinguishing Bell-basis vectors, each of which consists\nof a pair of an electron and a positron, by this gate. (This is called the\nBell-basis measurement.) This method succeeds with probability 1 in the limit\nof $N \\to \\infty$, where N is the number of beam splitters in the\ninterferometer. Moreover, we can carry out a controlled-NOT gate operation by\nthe above Bell-basis measurement and the method proposed by Gottesman and\nChuang. Therefore, we can prepare a universal set of quantum gates by the IFM.\nThis means that we can execute any quantum algorithm by the IFM.",
"arxiv_id": "quant-ph/0403159",
"authors": [
"Hiroo Azuma"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.012318",
"journal_ref": "Phys. Rev. A 70, 012318 (2004)",
"title": "Interaction-free quantum computation",
"url": "https://arxiv.org/abs/quant-ph/0403159"
},
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