Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations

Schreiber, Andreas; Cassemiro, K. N.; Potoček, Václav; Gábris, Aurél; Mosley, Peter J.; Andersson, Erika; Jex, Igor; Silberhorn, Christine

doi:10.1103/physrevlett.104.050502

Cited by 591 publications

(632 citation statements)

References 27 publications

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“…Discrete time quantum walks have been realized in several physical architectures [20][21][22][23][24] . Here we use the photonic set-up demonstrated in ref.…”

Section: Split-step Quantum Walksmentioning

confidence: 99%

Observation of topologically protected bound states in photonic quantum walks

et al. 2012

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Topological phases exhibit some of the most striking phenomena in modern physics. much of the rich behaviour of quantum Hall systems, topological insulators, and topological superconductors can be traced to the existence of robust bound states at interfaces between different topological phases. This robustness has applications in metrology and holds promise for future uses in quantum computing. Engineered quantum systems-notably in photonics, where wavefunctions can be observed directly-provide versatile platforms for creating and probing a variety of topological phases. Here we use photonic quantum walks to observe bound states between systems with different bulk topological properties and demonstrate their robustness to perturbations-a signature of topological protection. Although such bound states are usually discussed for static (time-independent) systems, here we demonstrate their existence in an explicitly time-dependent situation. moreover, we discover a new phenomenon: a topologically protected pair of bound states unique to periodically driven systems.

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“…Discrete time quantum walks have been realized in several physical architectures [20][21][22][23][24] . Here we use the photonic set-up demonstrated in ref.…”

Section: Split-step Quantum Walksmentioning

confidence: 99%

Observation of topologically protected bound states in photonic quantum walks

et al. 2012

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“…Such regimes are important for example in systems in which energy or electrons are transferred from one loop or molecule to another, as they allow to generate quantum correlations between the different systems. Together with helping to understand and model the energy transfer and state transport processes in naturally occurring system, the recent experimental progress in creating quantum walks in various physical systems (NMR [39][40][41], cold ions [42,43], photons [44][45][46][47][48][49], and ultracold atoms [50]) will soon allow to study and engineer the processes we have described here in laboratory.…”

Section: Discussionmentioning

confidence: 99%

Noise-enhanced quantum transport on a closed loop using quantum walks

Chandrashekar

Busch

2014

Quantum Inf Process

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We study the effect of noise on the transport of a quantum state from a closed loop of n−sites with one of the sites as a sink. Using a discrete-time quantum walk dynamics, we demonstrate that the transport efficiency can be enhanced with noise when the number of sites in the loop is small and reduced when the number of sites in the loop grows. By using the concept of measurement induced disturbance we identify the regimes in which genuine quantum effects are responsible for the enhanced transport.

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“…More recently they have been shown to deterministically generate quantum statistics that cannot be efficiently computed using classical computing resources alone (i.e., the Boson-Sampling problem) [4]. They also form the basis for optical quantum walks, for which numerous applications have been described, and have been subject to widespread experimental demonstration [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Passive quantum error correction of linear optics networks through error averaging

et al. 2018

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We propose and investigate a method of error detection and noise correction for bosonic linear networks using a method of unitary averaging. The proposed error averaging does not rely on ancillary photons or control and feedforward correction circuits, remaining entirely passive in its operation. We construct a general mathematical framework for this technique and then give a series of proof of principle examples including numerical analysis. Two methods for the construction of averaging are then compared to determine the most effective manner of implementation and probe the related error thresholds. Finally we discuss some of the potential uses of this scheme.

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Photons Walking the Line: A Quantum Walk with Adjustable Coin Operations

Cited by 591 publications

References 27 publications

Observation of topologically protected bound states in photonic quantum walks

Observation of topologically protected bound states in photonic quantum walks

Noise-enhanced quantum transport on a closed loop using quantum walks

Passive quantum error correction of linear optics networks through error averaging

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