@article{vandeStolpe2023,

title = {Mapping a 50-spin-qubit network through correlated sensing},

author = {G.L. van de Stolpe and D. P. Kwiatkowski and C.E. Bradley and J. Randall and S. A. Breitweiser and L. C. Bassett and M. Markham and D.J. Twitchen and T.H. Taminiau},

url = {https://arxiv.org/abs/2307.06939

https://www.nature.com/articles/s41467-024-46075-4},

doi = {10.1038/s41467-024-46075-4},

year  = {2024},

date = {2024-03-05},

journal = {Nature Communications },

volume = {15},

number = {2006},

abstract = {Spins associated to optically accessible solid-state defects have emerged as a versatile platform for exploring quantum simulation, quantum sensing and quantum communication. Pioneering experiments have shown the sensing, imaging, and control of multiple nuclear spins surrounding a single electron-spin defect. However, the accessible size and complexity of these spin networks has been constrained by the spectral resolution of current methods. Here, we map a network of 50 coupled spins through high-resolution correlated sensing schemes, using a single nitrogen-vacancy center in diamond. We develop concatenated double-resonance sequences that identify spin-chains through the network. These chains reveal the characteristic spin frequencies and their interconnections with high spectral resolution, and can be fused together to map out the network. Our results provide new opportunities for quantum simulations by increasing the number of available spin qubits. Additionally, our methods might find applications in nano-scale imaging of complex spin systems external to the host crystal.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Poteshman2023,

title = {Network structure and dynamics of effective models of nonequilibrium quantum transport},

author = {Abigail N. Poteshman and Mathieu Ouellet and Lee C. Bassett and Dani S. Bassett},

url = {https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.5.023125},

doi = {10.1103/PhysRevResearch.5.023125},

year  = {2023},

date = {2023-05-26},

journal = {Physical Review Research},

volume = {5},

pages = {023125},

abstract = {Across all scales of the physical world, dynamical systems can be usefully represented as abstract networks that encode the systems' units and interunit interactions. Understanding how physical rules shape the topological structure of those networks can clarify a system's function and enhance our ability to design, guide, or control its behavior. In the emerging area of quantum network science, a key challenge lies in distinguishing between the topological properties that reflect a system's underlying physics and those that reflect the assumptions of the employed conceptual model. To elucidate and address this challenge, we study networks that represent nonequilibrium quantum-electronic transport through quantum antidot devices—an example of an open, mesoscopic quantum system. The network representations correspond to two different models of internal antidot states: a single-particle, noninteracting model and an effective model for collective excitations including Coulomb interactions. In these networks, nodes represent accessible energy states and edges represent allowed transitions. We find that both models reflect spin conservation rules in the network topology through bipartiteness and the presence of only even-length cycles. The models diverge, however, in the minimum length of cycle basis elements, in a manner that depends on whether electrons are considered to be distinguishable. Furthermore, the two models reflect spin-conserving relaxation effects differently, as evident in both the degree distribution and the cycle-basis length distribution. Collectively, these observations serve to elucidate the relationship between network structure and physical constraints in quantum-mechanical models. More generally, our approach underscores the utility of network science in understanding the dynamics of quantum systems.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{Poteshman2019,

title = {Network architecture of energy landscapes in mesoscopic quantum systems},

author = {Abigail N Poteshman and Evelyn Tang and Lia Papadopoulos and Danielle S Bassett and Lee C Bassett},

url = {https://iopscience.iop.org/article/10.1088/1367-2630/ab5c9f

https://arxiv.org/abs/1811.12382},

doi = {10.1088/1367-2630/ab5c9f},

year  = {2019},

date = {2019-12-20},

journal = {New Journal of Physics},

volume = {21},

pages = {123049},

abstract = {Mesoscopic quantum systems exhibit complex many-body quantum phenomena, where interactions between spins and charges give rise to collective modes and topological states. Even simple, non-interacting theories display a rich landscape of energy states --- distinct many-particle configurations connected by spin- and energy-dependent transition rates. The collective energy landscape is difficult to characterize or predict, especially in regimes of frustration where many-body effects create a multiply degenerate landscape. Here we use network science to characterize the complex interconnection patterns of these energy-state transitions. Using an experimentally verified computational model of electronic transport through quantum antidots, we construct networks where nodes represent accessible energy states and edges represent allowed transitions. We then explore how physical changes in currents and voltages are reflected in the network topology. We find that the networks exhibit Rentian scaling, which is characteristic of efficient transportation systems in computer circuitry, neural circuitry, and human mobility, and can be used to measure the interconnection complexity of a network. Remarkably, networks corresponding to points of frustration in quantum transport (due, for example, to spin-blockade effects) exhibit an enhanced topological complexity relative to networks not experiencing frustration. Our results demonstrate that network characterizations of the abstract topological structure of energy landscapes can capture salient properties of quantum transport. More broadly, our approach motivates future efforts to use network science in understanding the dynamics and control of complex quantum systems.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{vandeStolpe2023,

title = {Mapping a 50-spin-qubit network through correlated sensing},

author = {G.L. van de Stolpe and D. P. Kwiatkowski and C.E. Bradley and J. Randall and S. A. Breitweiser and L. C. Bassett and M. Markham and D.J. Twitchen and T.H. Taminiau},

url = {https://arxiv.org/abs/2307.06939

https://www.nature.com/articles/s41467-024-46075-4},

doi = {10.1038/s41467-024-46075-4},

year  = {2024},

date = {2024-03-05},

journal = {Nature Communications },

volume = {15},

number = {2006},

abstract = {Spins associated to optically accessible solid-state defects have emerged as a versatile platform for exploring quantum simulation, quantum sensing and quantum communication. Pioneering experiments have shown the sensing, imaging, and control of multiple nuclear spins surrounding a single electron-spin defect. However, the accessible size and complexity of these spin networks has been constrained by the spectral resolution of current methods. Here, we map a network of 50 coupled spins through high-resolution correlated sensing schemes, using a single nitrogen-vacancy center in diamond. We develop concatenated double-resonance sequences that identify spin-chains through the network. These chains reveal the characteristic spin frequencies and their interconnections with high spectral resolution, and can be fused together to map out the network. Our results provide new opportunities for quantum simulations by increasing the number of available spin qubits. Additionally, our methods might find applications in nano-scale imaging of complex spin systems external to the host crystal.},

keywords = {complex quantum systems, diamond NV center, network science},

pubstate = {published},

tppubtype = {article}

}

@article{Poteshman2023,

title = {Network structure and dynamics of effective models of nonequilibrium quantum transport},

author = {Abigail N. Poteshman and Mathieu Ouellet and Lee C. Bassett and Dani S. Bassett},

url = {https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.5.023125},

doi = {10.1103/PhysRevResearch.5.023125},

year  = {2023},

date = {2023-05-26},

journal = {Physical Review Research},

volume = {5},

pages = {023125},

abstract = {Across all scales of the physical world, dynamical systems can be usefully represented as abstract networks that encode the systems' units and interunit interactions. Understanding how physical rules shape the topological structure of those networks can clarify a system's function and enhance our ability to design, guide, or control its behavior. In the emerging area of quantum network science, a key challenge lies in distinguishing between the topological properties that reflect a system's underlying physics and those that reflect the assumptions of the employed conceptual model. To elucidate and address this challenge, we study networks that represent nonequilibrium quantum-electronic transport through quantum antidot devices—an example of an open, mesoscopic quantum system. The network representations correspond to two different models of internal antidot states: a single-particle, noninteracting model and an effective model for collective excitations including Coulomb interactions. In these networks, nodes represent accessible energy states and edges represent allowed transitions. We find that both models reflect spin conservation rules in the network topology through bipartiteness and the presence of only even-length cycles. The models diverge, however, in the minimum length of cycle basis elements, in a manner that depends on whether electrons are considered to be distinguishable. Furthermore, the two models reflect spin-conserving relaxation effects differently, as evident in both the degree distribution and the cycle-basis length distribution. Collectively, these observations serve to elucidate the relationship between network structure and physical constraints in quantum-mechanical models. More generally, our approach underscores the utility of network science in understanding the dynamics of quantum systems.},

keywords = {complex quantum systems, network science},

pubstate = {published},

tppubtype = {article}

}

@article{Poteshman2019,

title = {Network architecture of energy landscapes in mesoscopic quantum systems},

author = {Abigail N Poteshman and Evelyn Tang and Lia Papadopoulos and Danielle S Bassett and Lee C Bassett},

url = {https://iopscience.iop.org/article/10.1088/1367-2630/ab5c9f

https://arxiv.org/abs/1811.12382},

doi = {10.1088/1367-2630/ab5c9f},

year  = {2019},

date = {2019-12-20},

journal = {New Journal of Physics},

volume = {21},

pages = {123049},

abstract = {Mesoscopic quantum systems exhibit complex many-body quantum phenomena, where interactions between spins and charges give rise to collective modes and topological states. Even simple, non-interacting theories display a rich landscape of energy states --- distinct many-particle configurations connected by spin- and energy-dependent transition rates. The collective energy landscape is difficult to characterize or predict, especially in regimes of frustration where many-body effects create a multiply degenerate landscape. Here we use network science to characterize the complex interconnection patterns of these energy-state transitions. Using an experimentally verified computational model of electronic transport through quantum antidots, we construct networks where nodes represent accessible energy states and edges represent allowed transitions. We then explore how physical changes in currents and voltages are reflected in the network topology. We find that the networks exhibit Rentian scaling, which is characteristic of efficient transportation systems in computer circuitry, neural circuitry, and human mobility, and can be used to measure the interconnection complexity of a network. Remarkably, networks corresponding to points of frustration in quantum transport (due, for example, to spin-blockade effects) exhibit an enhanced topological complexity relative to networks not experiencing frustration. Our results demonstrate that network characterizations of the abstract topological structure of energy landscapes can capture salient properties of quantum transport. More broadly, our approach motivates future efforts to use network science in understanding the dynamics and control of complex quantum systems.},

keywords = {complex quantum systems, network science, Quantum Control, topology},

pubstate = {published},

tppubtype = {article}

}