# Probing measurement-induced effects in quantum walks via recurrence

@article{Nitsche2018ProbingME, title={Probing measurement-induced effects in quantum walks via recurrence}, author={Thomas Nitsche and Sonja Barkhofen and Regina Kruse and Linda Sansoni and Martin {\vS}tefaň{\'a}k and Aur{\'e}l G{\'a}bris and V{\'a}clav Poto{\vc}ek and Tam{\'a}s Kiss and Igor Jex and Christine Silberhorn}, journal={Science Advances}, year={2018}, volume={4} }

The effects of projective measurements on the quantum mechanical evolution of a particle can be simulated with coherent light. Measurements on a quantum particle unavoidably affect its state, since the otherwise unitary evolution of the system is interrupted by a nonunitary projection operation. To probe measurement-induced effects in the state dynamics using a quantum simulator, the challenge is to implement controlled measurements on a small subspace of the system and continue the evolution…

## 29 Citations

Measurement-induced quantum walks

- PhysicsPhysical Review E
- 2022

We investigate a tight binding quantum walk on a graph. Repeated stroboscopic measurements of the position of the particle yield a measured ”trajectory”, and a combination of classical and quantum…

Driven Gaussian quantum walks

- PhysicsPhysical Review A
- 2022

Quantum walks function as essential means to implement quantum simulators, allowing one to study complex and often directly inaccessible quantum processes in controllable systems. In this…

Benchmarking quantumness of a two-photon quantum walk simulator

- Physics
- 2019

Discrete time quantum walks (DTQW) constitute an experimentally attractive approach to harness quantum mechanics for simulations and other computational tasks. Owing to the simple structure – local…

Simulating Dynamic Quantum Phase Transitions in Photonic Quantum Walks.

- PhysicsPhysical review letters
- 2019

This experiment directly confirms the relation between DQPTs and DTOPs in quench dynamics of topological systems and opens up the avenue of simulating emergent topological phenomena using discrete-time quantum-walk dynamics.

Emergent nonlinear phenomena in discrete-time quantum walks

- Physics
- 2020

Quantum walks are important tools for the development of quantum algorithms and carrying out quantum simulations. Recent interest in nonlinear discrete-time quantum walks aims to use it as a shortcut…

Large fluctuations of the first detected quantum return time

- PhysicsPhysical Review Research
- 2019

How long does it take a quantum particle to return to its origin? As shown previously under repeated projective measurements aimed to detect the return, the closed cycle yields a geometrical phase…

Photonic quantum walks with four-dimensional coins

- PhysicsPhysical Review Research
- 2019

This work presents an experimental realisation of a discrete-time quantum walk on a line graph, that instead of a two-dimensional exhibits a four-dimensional coin space, and exploits the full dimensionality of the coin to generate quantum walks on cyclic graphs.

Non-Markovianity and bound states in quantum walks with a phase impurity

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2019

We study a quantum walker on a one-dimensional lattice with a single defect site characterized by a phase. The spread and localization of discrete-time quantum walks starting at the impurity site are…

Exponential enhancement of multi-photon entanglement rate via quantum interference buffering

- Physics
- 2019

Multi-photon entangled states of light are key to advancing quantum communication, computation, and metrology. Current methods for building such states are based on stitching together photons from…

Wave-particle duality revisited: Neither wave nor particle

- Physics
- 2019

A textbook interpretation of quantum physics is that quantum objects can be described in a particle or a wave picture, depending on the operations and measurements performed. Beyond this widely held…

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