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Quantum Random Walks do not need a Coin Toss | Apoorva Patel
; K.S. Raghunathan
; Pranaw Rungta
; | Date: |
21 May 2004 | Subject: | quant-ph | 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. | Source: | arXiv, quant-ph/0405128 | Services: | Forum | Review | PDF | Favorites |
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