Physical Implementation of Quantum Walks
Given the extensive application of random walks in virtually every science related discipline, we may be at the threshold of yet another problem solving paradigm with the advent of quantum walks. Over the past decade, quantum walks have been explored for their non-intuitive dynamics, which may hold the key to radically new quantum algorithms. This growing interest has been paralleled by a flurry of research into how one can implement quantum walks in laboratories. This book presents numerous proposals as well as actual experiments for such a physical realization, underpinned by a wide range of quantum, classical and hybrid technologies.
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algorithm Ambainis amplitude angular momentum Appendix atom axis beam splitter Bloch Bloch sphere cavity classical random walk coherent coin operator coined quantum walk components conditional translation operator continuous-time quantum walk corresponding decoherence depicted in Fig detuning dipole discrete-time quantum walk displacement dynamic electro-optic modulator electron entanglement experimental Fock frequency Gaussian given graphs Hadamard transformation half-wave plate Hamiltonian Hence hypercube initial input Kendon laser beam Lett light linear Manouchehri and Wang matrix measurement microtraps nodes number of steps Omega optical elements optical lattice output pair particle performed phase shifter photon Phys polarization potential probability distribution propagation proposed pulse quantum circuit quantum coin quantum computer quantum dots qubit Rabi Rabi frequency radiation field Raman random walk represented resonant rotation round trip scheme Schreiber setup shift single photon spatial STIRAP superposition transition traps vector vert vertex vertices walker wave plate wave-function wave-packet