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quant-ph2003★ 50 cited
Grover's Quantum Search Algorithm for an Arbitrary Initial Mixed State
Eli Biham, Dan Kenigsberg
The Grover quantum search algorithm is generalized to deal with an arbitrary mixed initial state. The probability to measure a marked state as a function of time is calculated, and…
quant-ph1999
A Proof of the Security of Quantum Key Distribution
Eli Biham, Michel Boyer, P. Oscar Boykin +2
We prove the security of quantum key distribution against the most general attacks which can be performed on the channel, by an eavesdropper who has unlimited computation abilities…
quant-ph1998
Security of Quantum Key Distribution Against All Collective Attacks
Eli Biham, Michel Boyer, Gilles Brassard +2
Security of quantum key distribution against sophisticated attacks is among the most important issues in quantum information theory. In this work we prove security against a very i…