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Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
Lieven M. K. Vandersypen, Matthias Steffen, Gregory Breyta +3
The number of steps any classical computer requires in order to find the prime factors of an -digit integer increases exponentially with , at least using algorithms known…
Efficient Discrete Approximations of Quantum Gates
Aram W. Harrow, Benjamin Recht, Isaac L. Chuang
Quantum compiling addresses the problem of approximating an arbitrary quantum gate with a string of gates drawn from a particular finite set. It has been shown that this is possibl…
Non-thermal nuclear magnetic resonance quantum computing using hyperpolarized Xenon
Anne S. Verhulst, Oskar Liivak, Mark H. Sherwood +2
Current experiments in liquid-state nuclear magnetic resonance quantum computing are limited by low initial polarization. To address this problem, we have investigated the use of o…
Quantum Digital Signatures
Daniel Gottesman, Isaac Chuang
We present a quantum digital signature scheme whose security is based on fundamental principles of quantum physics. It allows a sender (Alice) to sign a message in such a way that…