492 citations · 4.7k across the 140 of their papers we have counts for
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Design of gates for quantum computation: the three-spin XOR gate in terms of two-spin interactions
Dima Mozyrsky, Vladimir Privman, Steven P. Hotaling
We propose to design multispin quantum gates in which the input and output two-state systems (spins) are not necessarily identical. We describe the motivations for such studies and…
Three-Species Diffusion-Limited Reaction with Continuous Density-Decay Exponents
Jae Woo Lee, Vladimir Privman
We introduce a model of three-species two-particle diffusion-limited reactions A+B -> A or B, B+C -> B or C, and C+A -> C or A, with three persistence parameters (survival probabil…
Extended Quantum XOR Gate in Terms of Two-Spin Interactions
Dima Mozyrsky, Vladimir Privman, Steven P. Hotaling
Considerations of feasibility of quantum computing lead to the study of multispin quantum gates in which the input and output two-state systems (spins) are not identical. We provid…
A Hamiltonian for quantum copying
Dima Mozyrsky, Vladimir Privman, Mark Hillery
We derive an explicit Hamiltonian for copying the basis up and down states of a quantum two-state system - a qubit - onto n "copy" qubits initially all prepared in the down state.…
Quantum signal splitting that avoids initialization of the targets
Dima Mozyrsky, Vladimir Privman
The classical signal splitting and copying are not possible in quantum mechanics. Specifically, one cannot copy the basis up and down states of the input (I) two-state system (qubi…
Exact Solution of an Irreversible One-Dimensional Model with Fully Biased Spin Exchanges
Antonio M. R. Cadilhe, Vladimir Privman
We introduce a model with conserved dynamics, where nearest neighbor pairs of spins can exchange to assume the configuration $\downarrow…