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Systematic Dimensionality Reduction for Quantum Walks: Optimal Spatial Search and Transport on Non-Regular Graphs
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/s00220-009-0930-1openalex-snapshot
On the Relationship Between Continuous- and Discrete-Time Quantum Walk
inferredcites →https://doi.org/10.1007/s00440-004-0423-2openalex-snapshot
Discrete Quantum Walks Hit Exponentially Faster
inferredcites →https://doi.org/10.1007/s11128-012-0432-5openalex-snapshot
Quantum walks: a comprehensive review
inferredcites →https://doi.org/10.1007/s11128-013-0563-3openalex-snapshot
Quantum search in structured database using local adiabatic evolution and spectral methods
inferredcites →https://doi.org/10.1007/s11128-015-0959-3openalex-snapshot
Diagrammatic approach to quantum search
inferredcites →https://doi.org/10.1038/nature13461openalex-snapshot
Quasiparticle engineering and entanglement propagation in a quantum many-body system
inferredcites →https://doi.org/10.1063/1.3002335openalex-snapshot
Environment-assisted quantum walks in photosynthetic energy transfer
inferredcites →https://doi.org/10.1063/1.3223548openalex-snapshot
Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
inferredcites →https://doi.org/10.1063/1.4807084openalex-snapshot
Geometrical effects on energy transfer in disordered open quantum systems
inferredcites →https://doi.org/10.1063/1.4856795openalex-snapshot
Energy-scales convergence for optimal and robust quantum transport in photosynthetic complexes
inferredcites →https://doi.org/10.1080/00107151031000110776openalex-snapshot
Quantum random walks: An introductory overview
inferredcites →https://doi.org/10.1088/1367-2630/10/11/113019openalex-snapshot
Dephasing-assisted transport: quantum networks and biomolecules
inferredcites →https://doi.org/10.1088/1367-2630/11/3/033003openalex-snapshot
Environment-assisted quantum transport
inferredcites →https://doi.org/10.1088/1751-8113/48/1/015301openalex-snapshot
On model reduction for quantum dynamics: symmetries and invariant subspaces
inferredcites →https://doi.org/10.1103/physreva.57.2403openalex-snapshot
Analog analogue of a digital quantum computation
inferredcites →https://doi.org/10.1103/physreva.58.915openalex-snapshot
Quantum computation and decision trees
inferredcites →https://doi.org/10.1103/physreva.70.022314openalex-snapshot
Spatial search by quantum walk
inferredcites →https://doi.org/10.1103/physreva.74.042304openalex-snapshot
Quantum walk on a line with two entangled particles
inferredcites →https://doi.org/10.1103/physreva.75.062332openalex-snapshot
Quantum walks on quotient graphs
inferredcites →https://doi.org/10.1103/physreva.79.012323openalex-snapshot
Quantum searches on highly symmetric graphs
inferredcites →https://doi.org/10.1103/physreva.89.052337openalex-snapshot
Spatial search by continuous-time quantum walks on crystal lattices
inferredcites →https://doi.org/10.1103/physreve.89.042706openalex-snapshot
Numerical evidence for robustness of environment-assisted quantum transport
inferredcites →https://doi.org/10.1103/physrevlett.102.180501openalex-snapshot
Universal Computation by Quantum Walk
inferredcites →https://doi.org/10.1103/physrevlett.109.050502openalex-snapshot
Number-Theoretic Nature of Communication in Quantum Spin Systems
inferredcites →https://doi.org/10.1103/physrevlett.112.070504openalex-snapshot
Quantum Search on Graphene Lattices
inferredcites →https://doi.org/10.1103/physrevlett.112.210502openalex-snapshot
Global Symmetry is Unnecessary for Fast Quantum Search
inferredcites →https://doi.org/10.1103/physrevlett.113.030602openalex-snapshot
Persistence of Locality in Systems with Power-Law Interactions
inferredcites →https://doi.org/10.1103/physrevlett.114.110503openalex-snapshot
Connectivity is a Poor Indicator of Fast Quantum Search
inferredcites →https://doi.org/10.1103/physrevlett.91.207901openalex-snapshot
Quantum Communication through an Unmodulated Spin Chain
inferredcites →https://doi.org/10.1126/science.1229957openalex-snapshot
Universal Computation by Multiparticle Quantum Walk
inferredcites →https://doi.org/10.1140/epjb/e2007-00281-5openalex-snapshot
Investigation of continuous-time quantum walk by using Krylov subspace-Lanczos algorithm
inferredcites →https://doi.org/10.1142/s0219749906002195openalex-snapshot
QUANTUM WALKS ON GENERAL GRAPHS
inferredcites →https://doi.org/10.1142/s0219749909005389openalex-snapshot
COMMUNICATION IN XYZ ALL-TO-ALL QUANTUM NETWORKS WITH A MISSING LINK
inferredcites →https://doi.org/10.1142/s0219749910006514openalex-snapshot
PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL
inferredcites →https://doi.org/10.1145/780542.780552openalex-snapshot
Exponential algorithmic speedup by a quantum walk
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/qute.201900115openalex-snapshot
Machine Learning Transfer Efficiencies for Noisy Quantum Walks
inferred← citeshttps://doi.org/10.1002/qute.202500897openalex-snapshot
Quantum Walks as a Tool to Design Robust Quantum Batteries: The Role of Topology and Chirality
inferred← citeshttps://doi.org/10.1002/widm.1568openalex-snapshot
Dimensionality Reduction for Data Analysis With Quantum Feature Learning
inferred← citeshttps://doi.org/10.1007/978-3-030-02686-8_68openalex-snapshot
Optimal Dimensionality Reduced Quantum Walk and Noise Characterization
inferred← citeshttps://doi.org/10.1007/s11128-015-1239-yopenalex-snapshot
Spatial search by continuous-time quantum walk with multiple marked vertices
inferred← citeshttps://doi.org/10.1007/s11128-016-1373-1openalex-snapshot
Laplacian versus adjacency matrix in quantum walk search
inferred← citeshttps://doi.org/10.1007/s11128-017-1516-zopenalex-snapshot
Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs
inferred← citeshttps://doi.org/10.1007/s11128-019-2532-yopenalex-snapshot
Dimerized decomposition of quantum evolution on an arbitrary graph
inferred← citeshttps://doi.org/10.1007/s11128-020-02876-2openalex-snapshot
Overview: recent development and applications of reduction and lackadaisicalness techniques for spatial search quantum walk in the near term
inferred← citeshttps://doi.org/10.1007/s11128-022-03417-9openalex-snapshot
Spatial search on Johnson graphs by continuous-time quantum walk
inferred← citeshttps://doi.org/10.1007/s11128-024-04331-yopenalex-snapshot
Enhanced quantum transport in chiral quantum walks
inferred← citeshttps://doi.org/10.1016/j.cosrev.2021.100419openalex-snapshot
Quantum walk and its application domains: A systematic review
inferred← citeshttps://doi.org/10.1038/s41534-025-01165-zopenalex-snapshot
A hybrid quantum walk model unifying discrete and continuous quantum walks
inferred← citeshttps://doi.org/10.1051/epjconf/201919800001openalex-snapshot
Noise Characterization: Keeping Reduction Based Per-turbed Quantum Walk Search Optimal
inferred← citeshttps://doi.org/10.1088/1361-648x/ae5906openalex-snapshot
Quantum annealing and condensed matter physics
inferred← citeshttps://doi.org/10.1088/1402-4896/acfad0openalex-snapshot
Quantum walk-based protocol for secure communication between any two directly connected nodes on a network
inferred← citeshttps://doi.org/10.1088/1402-4896/ae2964openalex-snapshot
The perfect state transfer and the success probability of finding the marked vertex on the N -fold star power graph G ⋆ N
inferred← citeshttps://doi.org/10.1088/1751-8121/aad3e6openalex-snapshot
How to suppress dark states in quantum networks and bio-engineered structures
inferred← citeshttps://doi.org/10.1088/1751-8121/ac72d5openalex-snapshot
Universality of the fully connected vertex in Laplacian continuous-time quantum walk problems
inferred← citeshttps://doi.org/10.1088/1751-8121/acc0ecopenalex-snapshot
Quantum transport efficiency in noisy random-removal and small-world networks
inferred← citeshttps://doi.org/10.1088/1751-8121/accfd4openalex-snapshot
Survival probability of the Grover walk on the ladder graph
inferred← citeshttps://doi.org/10.1088/1751-8121/ad41a6openalex-snapshot
Complex quantum networks: a topical review
inferred← citeshttps://doi.org/10.1088/2058-9565/ac26afopenalex-snapshot
A framework for optimal quantum spatial search using alternating phase-walks
inferred← citeshttps://doi.org/10.1088/2058-9565/ac8d8dopenalex-snapshot
Noisy quantum computation modeled by quantum walk: universality without ancillas
inferred← citeshttps://doi.org/10.1088/2058-9565/acd953openalex-snapshot
Ion trap long-range XY model for quantum state transfer and optimal spatial search
inferred← citeshttps://doi.org/10.1103/bzgp-lpdcopenalex-snapshot
Localization Without Disorder: Quantum Walks on Structured Graphs
inferred← citeshttps://doi.org/10.1103/fsxq-tyxlopenalex-snapshot
Quantum search with a generalized Laplacian
inferred← citeshttps://doi.org/10.1103/hby8-j1v9openalex-snapshot
Robust quantum-state generation in symmetric spin networks
inferred← citeshttps://doi.org/10.1103/physreva.101.022310openalex-snapshot
Continuous-time quantum-walk spatial search on the Bollobás scale-free network
inferred← citeshttps://doi.org/10.1103/physreva.101.032113openalex-snapshot
Counterintuitive role of geometry in transport by quantum walks
inferred← citeshttps://doi.org/10.1103/physreva.101.032336openalex-snapshot
Continuous-time quantum walks on planar lattices and the role of the magnetic field
inferred← citeshttps://doi.org/10.1103/physreva.101.062333openalex-snapshot
Optimal quantum search on truncated simplex lattices
inferred← citeshttps://doi.org/10.1103/physreva.102.012218openalex-snapshot
Non-Hermitian and Zeno limit of quantum systems under rapid measurements
inferred← citeshttps://doi.org/10.1103/physreva.102.022210openalex-snapshot
Quantization of the mean decay time for non-Hermitian quantum systems
inferred← citeshttps://doi.org/10.1103/physreva.102.022227openalex-snapshot
Finding a marked node on any graph via continuous-time quantum walks
inferred← citeshttps://doi.org/10.1103/physreva.102.022423openalex-snapshot
Analog quantum algorithms for the mixing of Markov chains
inferred← citeshttps://doi.org/10.1103/physreva.102.032214openalex-snapshot
Optimality of spatial search via continuous-time quantum walks
inferred← citeshttps://doi.org/10.1103/physreva.103.042222openalex-snapshot
Quantum-walk-based state-transfer algorithms on the complete M -partite graph
inferred← citeshttps://doi.org/10.1103/physreva.104.022216openalex-snapshot
Deterministic spatial search using alternating quantum walks
inferred← citeshttps://doi.org/10.1103/physreva.104.042221openalex-snapshot
Equivalent Laplacian and adjacency quantum walks on irregular graphs
inferred← citeshttps://doi.org/10.1103/physreva.105.062448openalex-snapshot
Experimental investigation of equivalent Laplacian and adjacency quantum walks on irregular graphs
inferred← citeshttps://doi.org/10.1103/physreva.109.052435openalex-snapshot
Quantum search in many-body interacting systems with long-range interactions
inferred← citeshttps://doi.org/10.1103/physreva.110.022422openalex-snapshot
Search and state transfer between hubs by quantum walks
inferred← citeshttps://doi.org/10.1103/physreva.110.042417openalex-snapshot
Searching weighted barbell graphs with Laplacian and adjacency quantum walks
inferred← citeshttps://doi.org/10.1103/physreva.111.032430openalex-snapshot
Quantum search with the signless Laplacian
inferred← citeshttps://doi.org/10.1103/physreva.111.032439openalex-snapshot
Perfect chiral quantum routing
inferred← citeshttps://doi.org/10.1103/physreva.111.042608openalex-snapshot
Unifying quantum spatial search, state transfer, and uniform sampling on graphs
inferred← citeshttps://doi.org/10.1103/physreva.92.032320openalex-snapshot
Faster quantum walk search on a weighted graph
inferred← citeshttps://doi.org/10.1103/physreva.93.022322openalex-snapshot
Quantum walks on embedded hypercubes: Nonsymmetric and nonlocal cases
inferred← citeshttps://doi.org/10.1103/physreva.93.032305openalex-snapshot
Continuous-time quantum search on balanced trees
inferred← citeshttps://doi.org/10.1103/physreva.94.022301openalex-snapshot
Perfect state transfer by means of discrete-time quantum walk search algorithms on highly symmetric graphs
inferred← citeshttps://doi.org/10.1103/physreva.94.022304openalex-snapshot
Engineering the success of quantum walk search using weighted graphs
inferred← citeshttps://doi.org/10.1103/physreva.98.022316openalex-snapshot
Environment-assisted analog quantum search
inferred← citeshttps://doi.org/10.1103/physreva.98.052347openalex-snapshot
Quantum spatial search on graphs subject to dynamical noise
inferred← citeshttps://doi.org/10.1103/physreva.98.062334openalex-snapshot
Optimal quantum-walk search on Kronecker graphs with dominant or fixed regular initiators
inferred← citeshttps://doi.org/10.1103/physreva.99.032301openalex-snapshot
Quantum walk search on the complete bipartite graph
inferred← citeshttps://doi.org/10.1103/physreve.106.024118openalex-snapshot
Perturbed graphs achieve unit transport efficiency without environmental noise
inferred← citeshttps://doi.org/10.1103/physreve.96.032136openalex-snapshot
Systematic dimensionality reduction for continuous-time quantum walks of interacting fermions
inferred← citeshttps://doi.org/10.1103/physrevlett.116.100501openalex-snapshot
Spatial Search by Quantum Walk is Optimal for Almost all Graphs
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Optimal Quantum Spatial Search on Random Temporal Networks
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Optimal Quantum Spatial Search with One-Dimensional Long-Range Interactions
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Deterministic Search on Star Graphs via Quantum Walks
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Quadratic Speedup for Spatial Search by Continuous-Time Quantum Walk
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Controlled quantum search on structured databases
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Uncertainty and symmetry bounds for the quantum total detection probability
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Dark states of quantum search cause imperfect detection
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Spatial search by continuous-time quantum walks on renormalized Internet networks
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Low-Depth Mechanisms for Quantum Optimization
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Optimal quantum transport on a ring via locally monitored chiral quantum walks
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Quantum Walk on Dimensionality Reduced Complete Bipartite Graphs with k Edges Removed
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Simulation of Quantum Walks via Hamiltonian Reduction
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Dimensionality Reduction of the Complete Bipartite Graph with K Edges Removed for Quantum Walks
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Perfect quantum excitation energy transport via single edge perturbation in a complete network
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Impact of global and local interaction on quantum spatial search on chimera graph
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Role of Symmetry in Quantum Search via Continuous-Time Quantum Walk
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A new preprocessing method reduces the dimensionality of classification models
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Non-Markovianity is not a resource for quantum spatial search on a star graph subject to generalized percolation
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Utilising Dimensionality Reduction for Improved Data Analysis with Quantum Feature Learning
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Studying the robustness of quantum random walk search on Hypercube against phase errors in the traversing coin by semi-empirical methods
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A Machine Learning Study of High Robustness Quantum Walk Search Algorithm with Qudit Householder Coins
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Transport Efficiency of Continuous-Time Quantum Walks on Graphs
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Quantum-Walk-Inspired Dynamic Adiabatic Local Search
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Improving Quantum Search on Simple Graphs by Pretty Good Structured Oracles
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Quantum Walk Computing: Theory, Implementation, and Application
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Quantum walk-based protocol for secure communication between any two directly connected nodes on a network
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