TY - JOUR

T1 - Quantum quincunx in cavity quantum electrodynamics

AU - Sanders, Barry C.

AU - Bartlett, Stephen D.

AU - Tregenna, Ben

AU - Knight, Peter L.

N1 - Copyright 2003 by The American Physical Society. Reprinted from Physical review A.

PY - 2003

Y1 - 2003

N2 - We introduce the quantum quincunx, which physically demonstrates the quantum walk and is analogous to Galton’s quincunx for demonstrating the random walk by employing gravity to draw pellets through pegs on a board, thereby yielding a binomial distribution of final peg locations. In contradistinction to the theoretical studies of quantum walks over orthogonal lattice states, we introduce quantum walks over nonorthogonal lattice states (specifically, coherent states on a circle) to demonstrate that the key features of a quantum walk are observable albeit for strict parameter ranges. A quantum quincunx may be realized with current cavity quantum electrodynamics capabilities, and precise control over decoherence in such experiments allows a remarkable decrease in the position noise, or spread, with increasing decoherence.

AB - We introduce the quantum quincunx, which physically demonstrates the quantum walk and is analogous to Galton’s quincunx for demonstrating the random walk by employing gravity to draw pellets through pegs on a board, thereby yielding a binomial distribution of final peg locations. In contradistinction to the theoretical studies of quantum walks over orthogonal lattice states, we introduce quantum walks over nonorthogonal lattice states (specifically, coherent states on a circle) to demonstrate that the key features of a quantum walk are observable albeit for strict parameter ranges. A quantum quincunx may be realized with current cavity quantum electrodynamics capabilities, and precise control over decoherence in such experiments allows a remarkable decrease in the position noise, or spread, with increasing decoherence.

U2 - 10.1103/PhysRevA.67.042305

DO - 10.1103/PhysRevA.67.042305

M3 - Article

VL - 67

SP - 042305-1-042305-4

JO - Physical Review A: covering atomic, molecular, and optical physics and quantum information

JF - Physical Review A: covering atomic, molecular, and optical physics and quantum information

SN - 2469-9926

IS - 4

ER -