Quantum Hamiltonian Algorithms for Maximum Independent Sets

Kavli Affiliate: Frank Wilczek | First 5 Authors: Xianjue Zhao, Peiyun Ge, Hongye Yu, Li You, Frank Wilczek | Summary: Two quantum Hamiltonian algorithms have been proposed to solve the maximum independent set problem: the PK algorithm, introduced in [Phys. Rev. A 101 (2020) 012318; Chin. Phys. Lett. 38, (2021) 030304], and the the HV […]


Continue.. Quantum Hamiltonian Algorithms for Maximum Independent Sets

Quantum Hamiltonian Algorithms for Maximum Independent Sets

Kavli Affiliate: Frank Wilczek | First 5 Authors: Xianjue Zhao, Peiyun Ge, Hongye Yu, Li You, Frank Wilczek | Summary: Two quantum Hamiltonian algorithms have been proposed to solve the maximum independent set problem: the PK algorithm, introduced in [Phys. Rev. A 101 (2020) 012318; Chin. Phys. Lett. 38, (2021) 030304], and the the HV […]


Continue.. Quantum Hamiltonian Algorithms for Maximum Independent Sets

Quantum Hamiltonian Algorithms for Maximum Independent Sets

Kavli Affiliate: Frank Wilczek | First 5 Authors: Xianjue Zhao, Peiyun Ge, Hongye Yu, Li You, Frank Wilczek | Summary: We compare two quantum Hamiltonian algorithms that address the maximum independent set problem: one based on emergent non-abelian gauge matrix in adiabatic evolution of an energetically isolated manifold of states; and one based on designed […]


Continue.. Quantum Hamiltonian Algorithms for Maximum Independent Sets

Quantum Hamiltonian Algorithms for Maximum Independent Sets

Kavli Affiliate: Frank Wilczek | First 5 Authors: Xianjue Zhao, Peiyun Ge, Hongye Yu, Li You, Frank Wilczek | Summary: We compare two quantum Hamiltonian algorithms that address the maximum independent set problem: one based on emergent non-abelian gauge matrix in adiabatic evolution of an energetically isolated manifold of states; and one based on designed […]


Continue.. Quantum Hamiltonian Algorithms for Maximum Independent Sets

Quantum Hamiltonian Algorithms for Maximum Independent Sets

Kavli Affiliate: Frank Wilczek | First 5 Authors: Xianjue Zhao, Peiyun Ge, Hongye Yu, Li You, Frank Wilczek | Summary: With qubits encoded into atomic ground and Rydberg states and situated on the vertexes of a graph, the conditional quantum dynamics of Rydberg blockade, which inhibits simultaneous excitation of nearby atoms, has been employed recently […]


Continue.. Quantum Hamiltonian Algorithms for Maximum Independent Sets

Masses, Revised Radii, and a Third Planet Candidate in the “Inverted” Planetary System Around TOI-1266

Kavli Affiliate: Andrew Vanderburg | First 5 Authors: Ryan Cloutier, Michael Greklek-McKeon, Serena Wurmser, Collin Cherubim, Erik Gillis | Summary: Is the population of close-in planets orbiting M dwarfs sculpted by thermally driven escape or is it a direct outcome of the planet formation process? A number of recent empirical results strongly suggest the latter. […]


Continue.. Masses, Revised Radii, and a Third Planet Candidate in the “Inverted” Planetary System Around TOI-1266

Masses, Revised Radii, and a Third Planet Candidate in the “Inverted” Planetary System Around TOI-1266

Kavli Affiliate: Andrew Vanderburg | First 5 Authors: Ryan Cloutier, Michael Greklek-McKeon, Serena Wurmser, Collin Cherubim, Erik Gillis | Summary: Is the population of close-in planets orbiting M dwarfs sculpted by thermally driven escape or is it a direct outcome of the planet formation process? A number of recent empirical results strongly suggest the latter. […]


Continue.. Masses, Revised Radii, and a Third Planet Candidate in the “Inverted” Planetary System Around TOI-1266

Searching for strong gravitational lenses

Kavli Affiliate: Paul Schechter | First 5 Authors: Cameron Lemon, Frédéric Courbin, Anupreeta More, Paul Schechter, Raoul Cañameras | Summary: Strong gravitational lenses provide unique laboratories for cosmological and astrophysical investigations, but they must first be discovered – a task that can be met with significant contamination by other astrophysical objects and asterisms. Here we […]


Continue.. Searching for strong gravitational lenses

Searching for strong gravitational lenses

Kavli Affiliate: Paul Schechter | First 5 Authors: Cameron Lemon, Frédéric Courbin, Anupreeta More, Paul Schechter, Raoul Cañameras | Summary: Strong gravitational lenses provide unique laboratories for cosmological and astrophysical investigations, but they must first be discovered – a task that can be met with significant contamination by other astrophysical objects and asterisms. Here we […]


Continue.. Searching for strong gravitational lenses

Galaxy formation with Wave/Fuzzy Dark Matter: The core-halo structure

Kavli Affiliate: Mark Vogelsberger | First 5 Authors: Alvaro Pozo, Razieh Emami, Philip Mocz, Tom Broadhurst, Lars Hernquist | Summary: Dark matter-dominated cores have long been claimed for the well-studied local group dwarf galaxies. More recently, extended stellar halos have been uncovered around several of these dwarfs through deeper imaging and spectroscopy. Such core-halo structures […]


Continue.. Galaxy formation with Wave/Fuzzy Dark Matter: The core-halo structure