Quantum state transfer via Bloch oscillations

Tamascelli, Dario; Olivares, Stefano; Rossotti, Stefano; Osellame, Roberto; Paris, Matteo G. A.

doi:10.1038/srep26054

Cited by 28 publications

(24 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…These effects make QWs suitable for the implementation of quantum algorithms [35][36][37][38]. In turn, those potential applications inspired a series of experiments, especially with optical networks [39][40][41][42], see [43] for a more comprehensive review. In particular, experimental realizations of photonic quantum walks [40,[44][45][46], have provided suitable architectures that outperform their classical counterparts for some specific tasks.…”

Section: Introductionmentioning

confidence: 99%

Probing the sign of the Hubbard interaction by two-particle quantum walks

et al. 2018

Self Cite

View full text Add to dashboard Cite

We consider two identical bosons propagating on a one-dimensional lattice and address the problem of discriminating whether their mutual on-site interaction is attractive or repulsive. We suggest a probing scheme based on the properties of the corresponding two-particle quantum walks, and show that the sign of the interaction introduces specific and detectable features in the dynamics of quantum correlations, thus permitting to discriminate between the two cases. We also discuss how these features are connected to the band-structure of the Hubbard Hamiltonian, and prove that discrimination may be obtained only when the two walkers are initially prepared in a superposition of localized states.

show abstract

Section: Introductionmentioning

confidence: 99%

Probing the sign of the Hubbard interaction by two-particle quantum walks

et al. 2018

Self Cite

View full text Add to dashboard Cite

show abstract

“…Interestingly, with complex interference effects induced by DM coupling, spin excitation guides to the desired direction. This resembles quantum state transfer over different distances via Bloch oscillations in non-interacting chain [37].…”

Section: Exact Diagonalizationmentioning

confidence: 86%

Asymmetric Transport in Long-Range Interacting Chiral Spin Chains

Vahedi

2021

Preprint

View full text Add to dashboard Cite

Harnessing power-law interactions (1/r α ) in a large variety of physical systems are increasing. We study the dynamics of chiral spin chains as a possible multi-directional quantum channel. This arises from the nonlinear character of the dispersion with complex quantum interference effects. Using complementary numerically and analytical techniques, we engineer models to transfer quantum states. We illustrate our approach using the long-range XXZ model modulated by Dzyaloshinskii-Moriya (DM) interaction. With exploring non-equilibrium dynamics after a local quantum quench, we identify at fully nonlocal regime (which breaks generalized Lieb-Robinson bounds ) the interplay of interaction range α and Dzyaloshinskii-Moriya coupling gives rise to spatially asymmetric spin excitations transport. This could be interesting for quantum information protocols to transfer quantum states and maybe testable with current trapped-ion experiments. We further explore the growth of block entanglement entropy in these systems and the order of magnitude reduction distinguished. A possible effective interaction induces by DM coupling and integrability breaking in these systems is discussed.

show abstract

“…A notable exception exists, though, given by the quantum spatial search, where the perturbation induced by the so-called oracle Hamiltonian has been largely investigated as a tool to induce localization on a desired site [13][14][15][16][17][18]. In fact, quantum walks have found several applications ranging from universal quantum computation [19] to quantum algorithms [20][21][22][23][24][25] and to the study of excitation transport on networks [26][27][28] and biological systems [29,30]. As such, due to the diversity of the physical platforms on which quantum walks have been implemented [31,32], a precise characterization of the quantum-walk Hamiltonian is desired.…”

Section: Introductionmentioning

confidence: 99%

Continuous-time quantum walks in the presence of a quadratic perturbation

et al. 2020

Self Cite

View full text Add to dashboard Cite

We address the properties of continuous-time quantum walks with Hamiltonians of the form H = L + λL 2 , with L the Laplacian matrix of the underlying graph and the perturbation λL 2 motivated by its potential use to introduce next-nearest-neighbor hopping. We consider cycle, complete, and star graphs as paradigmatic models with low and high connectivity and/or symmetry. First, we investigate the dynamics of an initially localized walker. Then we devote attention to estimating the perturbation parameter λ using only a snapshot of the walker dynamics. Our analysis shows that a walker on a cycle graph spreads ballistically independently of the perturbation, whereas on complete and star graphs one observes perturbation-dependent revivals and strong localization phenomena. Concerning the estimation of the perturbation, we determine the walker preparations and the simple graphs that maximize the quantum Fisher information. We also assess the performance of position measurement, which turns out to be optimal, or nearly optimal, in several situations of interest. Besides fundamental interest, our study may find applications in designing enhanced algorithms on graphs.

show abstract

Quantum state transfer via Bloch oscillations

Cited by 28 publications

References 43 publications

Probing the sign of the Hubbard interaction by two-particle quantum walks

Probing the sign of the Hubbard interaction by two-particle quantum walks

Asymmetric Transport in Long-Range Interacting Chiral Spin Chains

Continuous-time quantum walks in the presence of a quadratic perturbation

Contact Info

Product

Resources

About