Entanglement Dynamics in 1D Quantum Cellular Automata
G K. Brennen, J E. Williams
Several proposed schemes for the physical realization of a quantum computer consist of qubits arranged in a cellular array. In the quantum circuit model of quantum computation, an often complex series of two-qubit gate operations is required between arbitrarily distant pairs of lattice qubits. An alternative model of quantum computation based on quantum cellular automata (QCA) requires only homogeneous local interactions that can be implemented in parallel. This would be a huge simplification in an actual experiment. We find some minimal physical requirements for the construction of unitary QCA in a 1 dimensional Ising spin chain and demonstrate optimal pulse sequences for information transport and entanglement distribution. We also introduce the theory of non-unitary QCA and show by example that non-unitary rules can generate environment assistend entanglement.
Physical Review A (Atomic, Molecular and Optical Physics)
cellular automata, entanglement
and Williams, J.
Entanglement Dynamics in 1D Quantum Cellular Automata, Physical Review A (Atomic, Molecular and Optical Physics)
(Accessed December 9, 2023)