dorsal/arxiv
View SchemaQuantum Random Walks do not need a Coin Toss
| Authors | Apoorva Patel, K. S. Raghunathan, Pranaw Rungta |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405128 |
| URL | https://arxiv.org/abs/quant-ph/0405128 |
| DOI | 10.1103/PhysRevA.71.032347 |
| Journal | Phys. Rev. A71 (2005) 032347 |
Abstract
Classical randomized algorithms use a coin toss instruction to explore different evolutionary branches of a problem. Quantum algorithms, on the other hand, can explore multiple evolutionary branches by mere superposition of states. Discrete quantum random walks, studied in the literature, have nonetheless used both superposition and a quantum coin toss instruction. This is not necessary, and a discrete quantum random walk without a quantum coin toss instruction is defined and analyzed here. Our construction eliminates quantum entanglement from the algorithm, and the results match those obtained with a quantum coin toss instruction.
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"abstract": "Classical randomized algorithms use a coin toss instruction to explore\ndifferent evolutionary branches of a problem. Quantum algorithms, on the other\nhand, can explore multiple evolutionary branches by mere superposition of\nstates. Discrete quantum random walks, studied in the literature, have\nnonetheless used both superposition and a quantum coin toss instruction. This\nis not necessary, and a discrete quantum random walk without a quantum coin\ntoss instruction is defined and analyzed here. Our construction eliminates\nquantum entanglement from the algorithm, and the results match those obtained\nwith a quantum coin toss instruction.",
"arxiv_id": "quant-ph/0405128",
"authors": [
"Apoorva Patel",
"K. S. Raghunathan",
"Pranaw Rungta"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.032347",
"journal_ref": "Phys. Rev. A71 (2005) 032347",
"title": "Quantum Random Walks do not need a Coin Toss",
"url": "https://arxiv.org/abs/quant-ph/0405128"
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