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Optimal Fusion Strategies for Quantum Computation
Kenneth Goodenough, Andrew Landahl, Joon Lee +2
Logical fusions are important for a number of tasks in quantum information, such as quantum error correction and quantum repeaters. In the photonic setting one must contend with th…
Asymptotic entanglement in circle stabilizer states and states forbidding arbitrary vertex-minors
Kenneth Goodenough, Marcelo Sales
Stabilizer states play a central role in quantum information theory, and understanding their entanglement has motivated a large body of work. A well-studied question in particular…
Efficient Graph State Purification with Factorized Graph-Preserving Operations across Local Clifford Orbits
Mingyuan Wang, Guus Avis, Kenneth Goodenough +1
Graph states form a broad class of multipartite entangled states underlying measurement-based quantum computation, quantum networks, and stabilizer codes. However, systematic entan…
High-Rate and Resource-Efficient All-Photonic Quantum Repeater Architectures with 9 km Repeater Spacing
Ryosuke Shiina, Kenneth Goodenough, Nathan Arnold +1
Quantum communication between two distant parties will serve as a cornerstone of the future quantum internet. However, generating enough entangled Bell pairs over long distances is…
Sector length distributions of recursively definable graph states through analytic combinatorics
Eloïc Vallée, Kenneth Goodenough, Paul E. Gunnells +2
The sector length distribution or Shor-Laflamme distribution (SLD) of quantum states is governed by the -body correlations amongst the different systems, and has been used to st…
Complete Hierarchies for the Geometric Measure of Entanglement
Lisa T. Weinbrenner, Albert Rico, Kenneth Goodenough +2
In quantum physics, multiparticle systems are described by quantum states acting on tensor products of Hilbert spaces. This product structure leads to the distinction between produ…
Routing in Non-Isotonic Quantum Networks
Maxwell Tang, Garrett Hinkley, Kenneth Goodenough +2
Optimal routing in quantum-repeater networks requires finding the best path that connects a pair of end nodes. Most previous work on routing in quantum networks assumes utility fun…
Quantum Graph States: Bridging Classical Theory and Quantum Innovation, Workshop Summary
Eric Chitambar, Kenneth Goodenough, Otfried Gühne +5
This workshop brought together experts in classical graph theory and quantum information science to explore the intersection of these fields, with a focus on quantum graph states a…
Minimising the number of edges in LC-equivalent graph states
Hemant Sharma, Kenneth Goodenough, Johannes Borregaard +2
Graph states are a powerful class of entangled states with numerous applications in quantum communication and quantum computation. Local Clifford (LC) operations that map one graph…