dorsal/arxiv
View SchemaQuantum Branching Programs and Space-Bounded Nonuniform Quantum Complexity
| Authors | M. Sauerhoff, D. Sieling |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403164 |
| URL | https://arxiv.org/abs/quant-ph/0403164 |
| DOI | 10.1016/j.tcs.2004.12.031 |
| Journal | Theoretical Computer Science 334, pp. 177-225, 2005 |
Abstract
In this paper, the space complexity of nonuniform quantum computations is investigated. The model chosen for this are quantum branching programs, which provide a graphic description of sequential quantum algorithms. In the first part of the paper, simulations between quantum branching programs and nonuniform quantum Turing machines are presented which allow to transfer lower and upper bound results between the two models. In the second part of the paper, different variants of quantum OBDDs are compared with their deterministic and randomized counterparts. In the third part, quantum branching programs are considered where the performed unitary operation may depend on the result of a previous measurement. For this model a simulation of randomized OBDDs and exponential lower bounds are presented.
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"abstract": "In this paper, the space complexity of nonuniform quantum computations is\ninvestigated. The model chosen for this are quantum branching programs, which\nprovide a graphic description of sequential quantum algorithms. In the first\npart of the paper, simulations between quantum branching programs and\nnonuniform quantum Turing machines are presented which allow to transfer lower\nand upper bound results between the two models. In the second part of the\npaper, different variants of quantum OBDDs are compared with their\ndeterministic and randomized counterparts. In the third part, quantum branching\nprograms are considered where the performed unitary operation may depend on the\nresult of a previous measurement. For this model a simulation of randomized\nOBDDs and exponential lower bounds are presented.",
"arxiv_id": "quant-ph/0403164",
"authors": [
"M. Sauerhoff",
"D. Sieling"
],
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"quant-ph"
],
"doi": "10.1016/j.tcs.2004.12.031",
"journal_ref": "Theoretical Computer Science 334, pp. 177-225, 2005",
"title": "Quantum Branching Programs and Space-Bounded Nonuniform Quantum Complexity",
"url": "https://arxiv.org/abs/quant-ph/0403164"
},
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