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19982026
most citedThe quantum to classical transition for random walks

194 citations · 1.9k across the 115 of their papers we have counts for

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6 papers · 1 filter

quant-ph2002★ 194 cited

Quantum Walks driven by many coins

Todd A. Brun, Hilary A. Carteret, Andris Ambainis

Quantum random walks have been much studied recently, largely due to their highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the di…

quant-ph2002★ 161 cited

Quantum random walks with decoherent coins

Todd A. Brun, Hilary A. Carteret, Andris Ambainis

The quantum random walk has been much studied recently, largely due to its highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the di…

quant-ph2002★ 194 cited

The quantum to classical transition for random walks

Todd A. Brun, Hilary A. Carteret, Andris Ambainis

We look at two possible routes to classical behavior for the discrete quantum random walk on the line: decoherence in the quantum ``coin'' which drives the walk, or the use of high…

quant-ph2002★ 1 cited

Towards the Classical Communication Complexity of Entanglement Distillation Protocols with Incomplete Information

Andris Ambainis, Ke Yang

Quantum entanglement distillation protocols are LOCC protocols between Alice and Bob that convert imperfect EPR pairs, or, in general, partially entangled bipartite states into per…

quant-ph2002★ 17 cited

Lower bound for a class of weak quantum coin flipping protocols

Andris Ambainis

We study the class of protocols for weak quantum coin flipping introduced by Spekkens and Rudolph (quant-ph/0202118). We show that, for any protocol in this class, one party can wi…

quant-ph2002★ 2 cited

A New Protocol and Lower Bounds for Quantum Coin Flipping

Andris Ambainis

We present a new protocol and two lower bounds for quantum coin flipping. In our protocol, no dishonest party can achieve one outcome with probability more than 0.75. Then, we show…