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Quantum Walks On Graphs
Dorit Aharonov, Andris Ambainis, Julia Kempe +1
We set the ground for a theory of quantum walks on graphs- the generalization of random walks on finite graphs to the quantum world. Such quantum walks do not converge to any stati…
Separable states are more disordered globally than locally
M. A. Nielsen, J. Kempe
A remarkable feature of quantum entanglement is that an entangled state of two parties, Alice (A) and Bob (B), may be more disordered locally than globally. That is, S(A) > S(A,B),…
Universal simulation of Markovian quantum dynamics
Dave Bacon, Andrew M. Childs, Isaac L. Chuang +3
Although the conditions for performing arbitrary unitary operations to simulate the dynamics of a closed quantum system are well understood, the same is not true of the more genera…
Decoherence-Free Subspaces for Multiple-Qubit Errors: (II) Universal, Fault-Tolerant Quantum Computation
Daniel A. Lidar, Dave Bacon, Julia Kempe +1
Decoherence-free subspaces (DFSs) shield quantum information from errors induced by the interaction with an uncontrollable environment. Here we study a model of correlated errors f…
Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation
Julia Kempe, Dave Bacon, Daniel A. Lidar +1
Universal quantum computation on decoherence-free subspaces and subsystems (DFSs) is examined with particular emphasis on using only physically relevant interactions. A necessary a…
Lambda's, V's and optimal cloning with stimulated emission
Julia Kempe, Christoph Simon, Gregor Weihs
We show that optimal universal cloning of the polarization state of photons can be achieved via stimulated emission in three-level systems, both of the Lambda and the V type. We es…