Abstract
Quantum walks are a well-established model for the study of coherent transport phenomena and provide a universal platform in quantum information theory. Dynamically influencing the walker’s evolution gives a high degree of flexibility for studying various applications. Here, we present time-multiplexed finite quantum walks of variable size, the preparation of non-localised input states and their dynamical evolution. As a further application, we implement a state transfer scheme for an arbitrary input state to two different output modes. The presented experiments rely on the full dynamical control of a time-multiplexed quantum walk, which includes adjustable coin operation as well as the possibility to flexibly configure the underlying graph structures.
Highlights
The well-established concept of quantum walks [1, 2] lays the foundation for the study of a rich variety of phenomena such as transport dynamics [3, 4, 5, 6], topological phases [7, 8, 9] or quantum computation [10, 11, 12]
By introducing a fast switching electro-optic modulator the static coin operation was extended to a dynamical coin in [35], which enabled the investigation of random perturbations with dynamically changing coins
As our quantum walk relies on the accurate addressing and read-out of the timemultiplexed positions, it requires a proper synchronisation between the laser pulses, the dynamically switching electro-optic modulator (EOM) and the detection windows of the field-programmable gate array (FPGA) acting as a time-to-digital converter
Summary
The well-established concept of quantum walks [1, 2] lays the foundation for the study of a rich variety of phenomena such as transport dynamics [3, 4, 5, 6], topological phases [7, 8, 9] or quantum computation [10, 11, 12]. By introducing a fast switching electro-optic modulator the static coin operation was extended to a dynamical coin in [35], which enabled the investigation of random perturbations with dynamically changing coins This experiment succeeded in demonstrating the quantum to classical crossover by destroying the interferences, and showed Anderson localisation in a quantum walk system. The concept of time-multiplexed quantum walks was extended to the second dimension with the first experiment of a quantum walk on a 2-dimensional lattice [36] Since this situation is mathematically equivalent to two walkers in one dimension, this system can be used as a highly controllable simulator for various 2particle interactions in one dimension.
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